{"CFDocument":{"identifier":"bc997e24-7f3b-5df0-a0cd-3a8ac9cf0e2e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFDocuments/bc997e24-7f3b-5df0-a0cd-3a8ac9cf0e2e","creator":"Texas Education Agency","title":"Chapter 111. Mathematics","lastChangeDateTime":"2019-08-26T15:21:18+00:00","officialSourceURL":"http://ritter.tea.state.tx.us/rules/tac/chapter111","publisher":"Texas Education Agency","description":"Chapter 111. Mathematics","subject":["Mathematics"],"subjectURI":[{"title":"Mathematics","identifier":"5142aeb7-99aa-4ce9-a23c-a5a584cb615a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFSubjects/5142aeb7-99aa-4ce9-a23c-a5a584cb615a"}],"language":"en","version":"1.1.2","adoptionStatus":"Adopted","statusStartDate":"2012-09-10","statusEndDate":"1970-01-01","notes":"Version notes: Updated to v1.1.2 on 8/27/18 to include adopted/effective date details in \"Notes\" section for all Grade/Course items."},"CFItems":[{"identifier":"bd8d25fe-1d05-5046-bcc1-23e5ee696eea","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbd8d25fe-1d05-5046-bcc1-23e5ee696eea","fullStatement":"Subchapter A. Elementary","alternativeLabel":"111 Subchapter A. Elementary","CFItemType":"Subchapter","CFItemTypeURI":{"title":"Subchapter","identifier":"10360063-4899-4c48-8b15-d1248bd262cf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/10360063-4899-4c48-8b15-d1248bd262cf"},"humanCodingScheme":"111","listEnumeration":"0","abbreviatedStatement":"Subchapter A. Elementary","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:43+00:00"},{"identifier":"b061230d-266b-5491-8e8b-1a2e37a939a3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb061230d-266b-5491-8e8b-1a2e37a939a3","fullStatement":"Kindergarten, Adopted 2012.","alternativeLabel":"111.2 Kindergarten, Adopted 2012.","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.2","listEnumeration":"1","abbreviatedStatement":"Kindergarten, Adopted 2012.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"1aef182f-f55f-594b-91eb-20078671a735","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1aef182f-f55f-594b-91eb-20078671a735","fullStatement":"Introduction.","alternativeLabel":"111.2.a Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.2.a","listEnumeration":"2","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"190cd6d2-159c-534a-8d4b-776b69f58eb5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems190cd6d2-159c-534a-8d4b-776b69f58eb5","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.2.a.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while foc","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.2.a.1","listEnumeration":"3","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"9410d3c1-a1f2-53d1-a9a9-d817302c19af","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9410d3c1-a1f2-53d1-a9a9-d817302c19af","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.2.a.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standar","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.2.a.2","listEnumeration":"4","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"6ef310c1-4e27-5aa3-9a03-e206de227391","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6ef310c1-4e27-5aa3-9a03-e206de227391","fullStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Kindergarten are expected to perform their work without the use of calculators.","alternativeLabel":"111.2.a.3 For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficient","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.2.a.3","listEnumeration":"5","abbreviatedStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Kindergarten are expected to perform their work without the use of calculators.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"6339a1b7-349b-5ebf-8dc2-7ec61caea28a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6339a1b7-349b-5ebf-8dc2-7ec61caea28a","fullStatement":"The primary focal areas in Kindergarten are understanding counting and cardinality, understanding addition as joining and subtraction as separating, and comparing objects by measurable attributes.","alternativeLabel":"111.2.a.4 The primary focal areas in Kindergarten are understanding counting and cardinality, understanding addition as joining and subtraction as separating, and comparing objects by measurable attributes.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.2.a.4","listEnumeration":"6","abbreviatedStatement":"The primary focal areas in Kindergarten are understanding counting and cardinality, understanding addition as joining and subtraction as separating, and comparing objects by measurable attributes.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"0289ab66-4b3d-5f94-9795-80cbdd71c0f0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0289ab66-4b3d-5f94-9795-80cbdd71c0f0","fullStatement":"Students develop number and operations through several fundamental concepts. Students know number names and the counting sequence. Counting and cardinality lay a solid foundation for number. Students apply the principles of counting to make the connection between numbers and quantities.","alternativeLabel":"111.2.a.4.A Students develop number and operations through several fundamental concepts. Students know number names and the counting sequence. Counting and cardinality lay a solid foundation for number. Students apply the principles of counting to make th","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.2.a.4.A","listEnumeration":"7","abbreviatedStatement":"Students develop number and operations through several fundamental concepts. Students know number names and the counting sequence. Counting and cardinality lay a solid foundation for number. Students apply the principles of counting to make the connection between numbers and quantities.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"4fb9e7f2-702f-5ae2-a411-505f351453c8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4fb9e7f2-702f-5ae2-a411-505f351453c8","fullStatement":"Students use meanings of numbers to create strategies for solving problems and responding to practical situations involving addition and subtraction.","alternativeLabel":"111.2.a.4.B Students use meanings of numbers to create strategies for solving problems and responding to practical situations involving addition and subtraction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.2.a.4.B","listEnumeration":"8","abbreviatedStatement":"Students use meanings of numbers to create strategies for solving problems and responding to practical situations involving addition and subtraction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"ad2f56ba-88da-55a1-ba69-35b08f33436c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsad2f56ba-88da-55a1-ba69-35b08f33436c","fullStatement":"Students identify characteristics of objects that can be measured and directly compare objects according to these measurable attributes.","alternativeLabel":"111.2.a.4.C Students identify characteristics of objects that can be measured and directly compare objects according to these measurable attributes.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.2.a.4.C","listEnumeration":"9","abbreviatedStatement":"Students identify characteristics of objects that can be measured and directly compare objects according to these measurable attributes.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"99f4acd5-4540-5917-8dfe-8dc5d8e1e3bf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems99f4acd5-4540-5917-8dfe-8dc5d8e1e3bf","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.2.a.5 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.2.a.5","listEnumeration":"10","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"f10a89df-5076-5d24-9681-182e3f1be91e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf10a89df-5076-5d24-9681-182e3f1be91e","fullStatement":"Knowledge and skills.","alternativeLabel":"111.2.b Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.2.b","listEnumeration":"11","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"81111ea6-9534-5bcd-8823-69460939444a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems81111ea6-9534-5bcd-8823-69460939444a","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.2.b.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.2.b.1","listEnumeration":"12","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"dd32da48-54d2-5ea8-9906-4c7e48f3a8d3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdd32da48-54d2-5ea8-9906-4c7e48f3a8d3","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.2.b.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.1.A","listEnumeration":"13","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"8208b63b-1e0e-5332-9a84-10969fa87865","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8208b63b-1e0e-5332-9a84-10969fa87865","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.2.b.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.1.B","listEnumeration":"14","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:45+00:00"},{"identifier":"b73bc73c-ca67-5abc-8758-97627e50d653","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb73bc73c-ca67-5abc-8758-97627e50d653","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.2.b.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.1.C","listEnumeration":"15","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"53398502-688e-5137-9a2a-b8c14258bbfc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems53398502-688e-5137-9a2a-b8c14258bbfc","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.2.b.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.1.D","listEnumeration":"16","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"91f700ee-0378-5cb5-bbd8-999e5d6d04a2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems91f700ee-0378-5cb5-bbd8-999e5d6d04a2","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.2.b.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.1.E","listEnumeration":"17","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"d70a74ee-b3d2-573b-9984-b1f5f70644af","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd70a74ee-b3d2-573b-9984-b1f5f70644af","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.2.b.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.1.F","listEnumeration":"18","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"a910892b-16e6-59ad-b905-bbdf26f247fb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa910892b-16e6-59ad-b905-bbdf26f247fb","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.2.b.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.1.G","listEnumeration":"19","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"1d1acb07-dc00-5455-a392-13ab30357114","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1d1acb07-dc00-5455-a392-13ab30357114","fullStatement":"Number and operations. The student applies mathematical process standards to understand how to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system. The student is expected to:","alternativeLabel":"111.2.b.2 Number and operations. The student applies mathematical process standards to understand how to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system. The student","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.2.b.2","listEnumeration":"20","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to understand how to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"36300f3a-d3f2-59e5-8c38-b670766debde","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems36300f3a-d3f2-59e5-8c38-b670766debde","fullStatement":"count forward and backward to at least 20 with and without objects;","alternativeLabel":"111.2.b.2.A count forward and backward to at least 20 with and without objects;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.2.A","listEnumeration":"21","abbreviatedStatement":"count forward and backward to at least 20 with and without objects;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"72a2e429-67b0-597f-b8a9-33e118cc637b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems72a2e429-67b0-597f-b8a9-33e118cc637b","fullStatement":"read, write, and represent whole numbers from 0 to at least 20 with and without objects or pictures;","alternativeLabel":"111.2.b.2.B read, write, and represent whole numbers from 0 to at least 20 with and without objects or pictures;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.2.B","listEnumeration":"22","abbreviatedStatement":"read, write, and represent whole numbers from 0 to at least 20 with and without objects or pictures;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"ee9a617c-9cbe-5c94-ae00-5643647f517c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsee9a617c-9cbe-5c94-ae00-5643647f517c","fullStatement":"count a set of objects up to at least 20 and demonstrate that the last number said tells the number of objects in the set regardless of their arrangement or order;","alternativeLabel":"111.2.b.2.C count a set of objects up to at least 20 and demonstrate that the last number said tells the number of objects in the set regardless of their arrangement or order;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.2.C","listEnumeration":"23","abbreviatedStatement":"count a set of objects up to at least 20 and demonstrate that the last number said tells the number of objects in the set regardless of their arrangement or order;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"8c30199b-d162-5cb9-9624-ef2c75a69881","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8c30199b-d162-5cb9-9624-ef2c75a69881","fullStatement":"recognize instantly the quantity of a small group of objects in organized and random arrangements;","alternativeLabel":"111.2.b.2.D recognize instantly the quantity of a small group of objects in organized and random arrangements;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.2.D","listEnumeration":"24","abbreviatedStatement":"recognize instantly the quantity of a small group of objects in organized and random arrangements;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"08de9b76-0c57-5a67-91a4-c087ef487a69","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems08de9b76-0c57-5a67-91a4-c087ef487a69","fullStatement":"generate a set using concrete and pictorial models that represents a number that is more than, less than, and equal to a given number up to 20;","alternativeLabel":"111.2.b.2.E generate a set using concrete and pictorial models that represents a number that is more than, less than, and equal to a given number up to 20;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.2.E","listEnumeration":"25","abbreviatedStatement":"generate a set using concrete and pictorial models that represents a number that is more than, less than, and equal to a given number up to 20;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"abbda8f1-fd2b-5aab-9008-e84b944b4ad4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsabbda8f1-fd2b-5aab-9008-e84b944b4ad4","fullStatement":"generate a number that is one more than or one less than another number up to at least 20;","alternativeLabel":"111.2.b.2.F generate a number that is one more than or one less than another number up to at least 20;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.2.F","listEnumeration":"26","abbreviatedStatement":"generate a number that is one more than or one less than another number up to at least 20;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"6f4ed526-145b-503f-9c87-047f58295648","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6f4ed526-145b-503f-9c87-047f58295648","fullStatement":"compare sets of objects up to at least 20 in each set using comparative language;","alternativeLabel":"111.2.b.2.G compare sets of objects up to at least 20 in each set using comparative language;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.2.G","listEnumeration":"27","abbreviatedStatement":"compare sets of objects up to at least 20 in each set using comparative language;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"62c2696d-5272-59f9-853b-6ad8aeb89378","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems62c2696d-5272-59f9-853b-6ad8aeb89378","fullStatement":"use comparative language to describe two numbers up to 20 presented as written numerals; and","alternativeLabel":"111.2.b.2.H use comparative language to describe two numbers up to 20 presented as written numerals; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.2.H","listEnumeration":"28","abbreviatedStatement":"use comparative language to describe two numbers up to 20 presented as written numerals; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"e1c21284-655e-5ce7-be2c-967e65d49551","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse1c21284-655e-5ce7-be2c-967e65d49551","fullStatement":"compose and decompose numbers up to 10 with objects and pictures.","alternativeLabel":"111.2.b.2.I compose and decompose numbers up to 10 with objects and pictures.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.2.I","listEnumeration":"29","abbreviatedStatement":"compose and decompose numbers up to 10 with objects and pictures.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:47+00:00"},{"identifier":"0ee302a9-7a19-5750-b1d9-0f7518340320","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0ee302a9-7a19-5750-b1d9-0f7518340320","fullStatement":"Number and operations. The student applies mathematical process standards to develop an understanding of addition and subtraction situations in order to solve problems. The student is expected to:","alternativeLabel":"111.2.b.3 Number and operations. The student applies mathematical process standards to develop an understanding of addition and subtraction situations in order to solve problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.2.b.3","listEnumeration":"30","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to develop an understanding of addition and subtraction situations in order to solve problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"f859ae83-e283-5f9f-beaf-b277f364a775","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf859ae83-e283-5f9f-beaf-b277f364a775","fullStatement":"model the action of joining to represent addition and the action of separating to represent subtraction;","alternativeLabel":"111.2.b.3.A model the action of joining to represent addition and the action of separating to represent subtraction;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.3.A","listEnumeration":"31","abbreviatedStatement":"model the action of joining to represent addition and the action of separating to represent subtraction;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"cd2139f1-d437-5603-8755-66e14445f066","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscd2139f1-d437-5603-8755-66e14445f066","fullStatement":"solve word problems using objects and drawings to find sums up to 10 and differences within 10; and","alternativeLabel":"111.2.b.3.B solve word problems using objects and drawings to find sums up to 10 and differences within 10; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.3.B","listEnumeration":"32","abbreviatedStatement":"solve word problems using objects and drawings to find sums up to 10 and differences within 10; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"12afd127-00ac-5a68-afc8-5cfe404db65e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems12afd127-00ac-5a68-afc8-5cfe404db65e","fullStatement":"explain the strategies used to solve problems involving adding and subtracting within 10 using spoken words, concrete and pictorial models, and number sentences.","alternativeLabel":"111.2.b.3.C explain the strategies used to solve problems involving adding and subtracting within 10 using spoken words, concrete and pictorial models, and number sentences.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.3.C","listEnumeration":"33","abbreviatedStatement":"explain the strategies used to solve problems involving adding and subtracting within 10 using spoken words, concrete and pictorial models, and number sentences.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"fb77bd89-0df9-5ef0-9686-89484368d23a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfb77bd89-0df9-5ef0-9686-89484368d23a","fullStatement":"Number and operations. The student applies mathematical process standards to identify coins in order to recognize the need for monetary transactions. The student is expected to identify U.S. coins by name, including pennies, nickels, dimes, and quarters.","alternativeLabel":"111.2.b.4 Number and operations. The student applies mathematical process standards to identify coins in order to recognize the need for monetary transactions. The student is expected to identify U.S. coins by name, including pennies, nickels, dimes, and ","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.2.b.4","listEnumeration":"34","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to identify coins in order to recognize the need for monetary transactions. The student is expected to identify U.S. coins by name, including pennies, nickels, dimes, and quarters.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"e89cf903-0dd9-5a22-9221-03637400dc56","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse89cf903-0dd9-5a22-9221-03637400dc56","fullStatement":"Algebraic reasoning. The student applies mathematical process standards to identify the pattern in the number word list. The student is expected to recite numbers up to at least 100 by ones and tens beginning with any given number.","alternativeLabel":"111.2.b.5 Algebraic reasoning. The student applies mathematical process standards to identify the pattern in the number word list. The student is expected to recite numbers up to at least 100 by ones and tens beginning with any given number.","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.2.b.5","listEnumeration":"35","abbreviatedStatement":"Algebraic reasoning. The student applies mathematical process standards to identify the pattern in the number word list. The student is expected to recite numbers up to at least 100 by ones and tens beginning with any given number.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"c07602a2-eb8e-564f-90b7-f0f76e9f3087","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc07602a2-eb8e-564f-90b7-f0f76e9f3087","fullStatement":"Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to:","alternativeLabel":"111.2.b.6 Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.2.b.6","listEnumeration":"36","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"2a312feb-bee8-5be2-9be3-77af9336d51d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2a312feb-bee8-5be2-9be3-77af9336d51d","fullStatement":"identify two-dimensional shapes, including circles, triangles, rectangles, and squares as special rectangles;","alternativeLabel":"111.2.b.6.A identify two-dimensional shapes, including circles, triangles, rectangles, and squares as special rectangles;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.6.A","listEnumeration":"37","abbreviatedStatement":"identify two-dimensional shapes, including circles, triangles, rectangles, and squares as special rectangles;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"4b3a853e-3465-5f83-8975-835cddf6fede","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4b3a853e-3465-5f83-8975-835cddf6fede","fullStatement":"identify three-dimensional solids, including cylinders, cones, spheres, and cubes, in the real world;","alternativeLabel":"111.2.b.6.B identify three-dimensional solids, including cylinders, cones, spheres, and cubes, in the real world;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.6.B","listEnumeration":"38","abbreviatedStatement":"identify three-dimensional solids, including cylinders, cones, spheres, and cubes, in the real world;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"e873b758-db49-519c-8145-44d2e220fd68","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse873b758-db49-519c-8145-44d2e220fd68","fullStatement":"identify two-dimensional components of three-dimensional objects;","alternativeLabel":"111.2.b.6.C identify two-dimensional components of three-dimensional objects;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.6.C","listEnumeration":"39","abbreviatedStatement":"identify two-dimensional components of three-dimensional objects;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"746ac68c-8d26-5a43-813c-822abfec4baa","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems746ac68c-8d26-5a43-813c-822abfec4baa","fullStatement":"identify attributes of two-dimensional shapes using informal and formal geometric language interchangeably;","alternativeLabel":"111.2.b.6.D identify attributes of two-dimensional shapes using informal and formal geometric language interchangeably;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.6.D","listEnumeration":"40","abbreviatedStatement":"identify attributes of two-dimensional shapes using informal and formal geometric language interchangeably;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"110a75c0-f3dd-56b0-9268-72eb7bff6290","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems110a75c0-f3dd-56b0-9268-72eb7bff6290","fullStatement":"classify and sort a variety of regular and irregular two- and three-dimensional figures regardless of orientation or size; and","alternativeLabel":"111.2.b.6.E classify and sort a variety of regular and irregular two- and three-dimensional figures regardless of orientation or size; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.6.E","listEnumeration":"41","abbreviatedStatement":"classify and sort a variety of regular and irregular two- and three-dimensional figures regardless of orientation or size; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"0fa1208c-289f-5ae9-abd6-a665539f0b0d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0fa1208c-289f-5ae9-abd6-a665539f0b0d","fullStatement":"create two-dimensional shapes using a variety of materials and drawings.","alternativeLabel":"111.2.b.6.F create two-dimensional shapes using a variety of materials and drawings.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.6.F","listEnumeration":"42","abbreviatedStatement":"create two-dimensional shapes using a variety of materials and drawings.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"1edcac78-314e-5376-918e-c24d6e13ff8d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1edcac78-314e-5376-918e-c24d6e13ff8d","fullStatement":"Geometry and measurement. The student applies mathematical process standards to directly compare measurable attributes. The student is expected to:","alternativeLabel":"111.2.b.7 Geometry and measurement. The student applies mathematical process standards to directly compare measurable attributes. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.2.b.7","listEnumeration":"43","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to directly compare measurable attributes. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"6e4087eb-18c7-51bd-8036-f79fddae6d5b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6e4087eb-18c7-51bd-8036-f79fddae6d5b","fullStatement":"give an example of a measurable attribute of a given object, including length, capacity, and weight; and","alternativeLabel":"111.2.b.7.A give an example of a measurable attribute of a given object, including length, capacity, and weight; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.7.A","listEnumeration":"44","abbreviatedStatement":"give an example of a measurable attribute of a given object, including length, capacity, and weight; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:49+00:00"},{"identifier":"7f10c0f7-dd5a-50b4-9529-09881c29cf18","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7f10c0f7-dd5a-50b4-9529-09881c29cf18","fullStatement":"compare two objects with a common measurable attribute to see which object has more of/less of the attribute and describe the difference.","alternativeLabel":"111.2.b.7.B compare two objects with a common measurable attribute to see which object has more of/less of the attribute and describe the difference.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.7.B","listEnumeration":"45","abbreviatedStatement":"compare two objects with a common measurable attribute to see which object has more of/less of the attribute and describe the difference.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"d87e5fbe-889e-51b6-a780-a264cce8cbb5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd87e5fbe-889e-51b6-a780-a264cce8cbb5","fullStatement":"Data analysis. The student applies mathematical process standards to collect and organize data to make it useful for interpreting information. The student is expected to:","alternativeLabel":"111.2.b.8 Data analysis. The student applies mathematical process standards to collect and organize data to make it useful for interpreting information. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.2.b.8","listEnumeration":"46","abbreviatedStatement":"Data analysis. The student applies mathematical process standards to collect and organize data to make it useful for interpreting information. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"93037ea9-1cd4-59fc-8a0a-abceec86d218","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems93037ea9-1cd4-59fc-8a0a-abceec86d218","fullStatement":"collect, sort, and organize data into two or three categories;","alternativeLabel":"111.2.b.8.A collect, sort, and organize data into two or three categories;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.8.A","listEnumeration":"47","abbreviatedStatement":"collect, sort, and organize data into two or three categories;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"59a49348-193e-5a86-86d6-e7e7dc64d22b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems59a49348-193e-5a86-86d6-e7e7dc64d22b","fullStatement":"use data to create real-object and picture graphs; and","alternativeLabel":"111.2.b.8.B use data to create real-object and picture graphs; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.8.B","listEnumeration":"48","abbreviatedStatement":"use data to create real-object and picture graphs; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"60d185bf-6e56-5d06-9bde-fbf145b7123d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems60d185bf-6e56-5d06-9bde-fbf145b7123d","fullStatement":"draw conclusions from real-object and picture graphs.","alternativeLabel":"111.2.b.8.C draw conclusions from real-object and picture graphs.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.8.C","listEnumeration":"49","abbreviatedStatement":"draw conclusions from real-object and picture graphs.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"9f68d359-d89f-58e2-93b2-d4f794b84a7c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9f68d359-d89f-58e2-93b2-d4f794b84a7c","fullStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","alternativeLabel":"111.2.b.9 Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.2.b.9","listEnumeration":"50","abbreviatedStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"7429e124-c518-59b0-9679-19f6835d1756","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7429e124-c518-59b0-9679-19f6835d1756","fullStatement":"identify ways to earn income;","alternativeLabel":"111.2.b.9.A identify ways to earn income;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.9.A","listEnumeration":"51","abbreviatedStatement":"identify ways to earn income;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"f9dd3a9a-829c-539b-a8e7-fef85d4193ab","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf9dd3a9a-829c-539b-a8e7-fef85d4193ab","fullStatement":"differentiate between money received as income and money received as gifts;","alternativeLabel":"111.2.b.9.B differentiate between money received as income and money received as gifts;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.9.B","listEnumeration":"52","abbreviatedStatement":"differentiate between money received as income and money received as gifts;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"e057dd6a-fb79-501d-86be-e574fe360d6b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse057dd6a-fb79-501d-86be-e574fe360d6b","fullStatement":"list simple skills required for jobs; and","alternativeLabel":"111.2.b.9.C list simple skills required for jobs; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.9.C","listEnumeration":"53","abbreviatedStatement":"list simple skills required for jobs; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"522e0367-e604-562f-a94c-25bdb9a2566e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems522e0367-e604-562f-a94c-25bdb9a2566e","fullStatement":"distinguish between wants and needs and identify income as a source to meet one's wants and needs.","alternativeLabel":"111.2.b.9.D distinguish between wants and needs and identify income as a source to meet one's wants and needs.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.2.b.9.D","listEnumeration":"54","abbreviatedStatement":"distinguish between wants and needs and identify income as a source to meet one's wants and needs.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"6c3051ef-485e-5731-9b77-6725a3229ff9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6c3051ef-485e-5731-9b77-6725a3229ff9","fullStatement":"Grade 1, Adopted 2012.","alternativeLabel":"111.3 Grade 1, Adopted 2012.","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.3","listEnumeration":"55","abbreviatedStatement":"Grade 1, Adopted 2012.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"a96e83c2-b9a9-5d91-84ad-022340f99eb4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa96e83c2-b9a9-5d91-84ad-022340f99eb4","fullStatement":"Introduction.","alternativeLabel":"111.3.a Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.3.a","listEnumeration":"56","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"629df62a-554f-5b6f-95e6-e93335f0a889","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems629df62a-554f-5b6f-95e6-e93335f0a889","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.3.a.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while foc","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.3.a.1","listEnumeration":"57","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"1ea418cb-997f-54a2-aed0-a19e53a5afcf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1ea418cb-997f-54a2-aed0-a19e53a5afcf","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.3.a.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standar","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.3.a.2","listEnumeration":"58","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"4a0a51c6-24d8-5041-9695-6755336df0bf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4a0a51c6-24d8-5041-9695-6755336df0bf","fullStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 1 are expected to perform their work without the use of calculators.","alternativeLabel":"111.3.a.3 For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficient","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.3.a.3","listEnumeration":"59","abbreviatedStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 1 are expected to perform their work without the use of calculators.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:51+00:00"},{"identifier":"f29dbab1-8978-5d19-98e9-d360073bb40c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf29dbab1-8978-5d19-98e9-d360073bb40c","fullStatement":"The primary focal areas in Grade 1 are understanding and applying place value, solving problems involving addition and subtraction, and composing and decomposing two-dimensional shapes and three-dimensional solids.","alternativeLabel":"111.3.a.4 The primary focal areas in Grade 1 are understanding and applying place value, solving problems involving addition and subtraction, and composing and decomposing two-dimensional shapes and three-dimensional solids.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.3.a.4","listEnumeration":"60","abbreviatedStatement":"The primary focal areas in Grade 1 are understanding and applying place value, solving problems involving addition and subtraction, and composing and decomposing two-dimensional shapes and three-dimensional solids.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"156975b9-e193-5b04-ba91-fb2c88d1870d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems156975b9-e193-5b04-ba91-fb2c88d1870d","fullStatement":"Students use relationships within the numeration system to understand the sequential order of the counting numbers and their relative magnitude.","alternativeLabel":"111.3.a.4.A Students use relationships within the numeration system to understand the sequential order of the counting numbers and their relative magnitude.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.3.a.4.A","listEnumeration":"61","abbreviatedStatement":"Students use relationships within the numeration system to understand the sequential order of the counting numbers and their relative magnitude.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"74eceb18-e7f7-588d-ace9-1c0bcbe5650c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems74eceb18-e7f7-588d-ace9-1c0bcbe5650c","fullStatement":"Students extend their use of addition and subtraction beyond the actions of joining and separating to include comparing and combining. Students use properties of operations and the relationship between addition and subtraction to solve problems. By comparing a variety of solution strategies, students use efficient, accurate, and generalizable methods to perform operations.","alternativeLabel":"111.3.a.4.B Students extend their use of addition and subtraction beyond the actions of joining and separating to include comparing and combining. Students use properties of operations and the relationship between addition and subtraction to solve problem","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.3.a.4.B","listEnumeration":"62","abbreviatedStatement":"Students extend their use of addition and subtraction beyond the actions of joining and separating to include comparing and combining. Students use properties of operations and the relationship between addition and subtraction to solve problems. By comparing a variety of solution strategies, students use efficient, accurate, and generalizable methods to perform operations.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"a287d4a6-dbf0-5850-910f-07e486247343","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa287d4a6-dbf0-5850-910f-07e486247343","fullStatement":"Students use basic shapes and spatial reasoning to model objects in their environment and construct more complex shapes. Students are able to identify, name, and describe basic two-dimensional shapes and three-dimensional solids.","alternativeLabel":"111.3.a.4.C Students use basic shapes and spatial reasoning to model objects in their environment and construct more complex shapes. Students are able to identify, name, and describe basic two-dimensional shapes and three-dimensional solids.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.3.a.4.C","listEnumeration":"63","abbreviatedStatement":"Students use basic shapes and spatial reasoning to model objects in their environment and construct more complex shapes. Students are able to identify, name, and describe basic two-dimensional shapes and three-dimensional solids.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"b9ba2e71-3826-59eb-ac57-81ff849bb0b4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb9ba2e71-3826-59eb-ac57-81ff849bb0b4","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.3.a.5 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.3.a.5","listEnumeration":"64","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"7b8293b3-d18d-5b53-96e7-6411a3a209e6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7b8293b3-d18d-5b53-96e7-6411a3a209e6","fullStatement":"Knowledge and skills.","alternativeLabel":"111.3.b Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.3.b","listEnumeration":"65","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"06418b92-2fc8-563c-b72a-44250f3fdc0f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems06418b92-2fc8-563c-b72a-44250f3fdc0f","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.3.b.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.3.b.1","listEnumeration":"66","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"a5eb32d9-ecaf-501f-b89b-9dc9897dd7c4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa5eb32d9-ecaf-501f-b89b-9dc9897dd7c4","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.3.b.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.1.A","listEnumeration":"67","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"e7f8f70f-f99b-5860-9aab-5bd394cb1da9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse7f8f70f-f99b-5860-9aab-5bd394cb1da9","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.3.b.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.1.B","listEnumeration":"68","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"dea29ce5-d474-5e61-ad96-e71fc831ef71","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdea29ce5-d474-5e61-ad96-e71fc831ef71","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.3.b.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.1.C","listEnumeration":"69","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"03ce514f-93fd-5024-872a-13b897e19977","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems03ce514f-93fd-5024-872a-13b897e19977","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.3.b.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.1.D","listEnumeration":"70","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"b71099a2-e88f-583a-b996-dc40cb2577bb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb71099a2-e88f-583a-b996-dc40cb2577bb","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.3.b.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.1.E","listEnumeration":"71","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"4c18721b-9dff-5c19-840a-99b007af5a36","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4c18721b-9dff-5c19-840a-99b007af5a36","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.3.b.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.1.F","listEnumeration":"72","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"f52f638e-9fa6-5a07-9012-8b0137686bde","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf52f638e-9fa6-5a07-9012-8b0137686bde","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.3.b.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.1.G","listEnumeration":"73","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"c25d85d9-b0f1-5678-acc4-9c5d0a8ebd23","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc25d85d9-b0f1-5678-acc4-9c5d0a8ebd23","fullStatement":"Number and operations. The student applies mathematical process standards to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system related to place value. The student is expected to:","alternativeLabel":"111.3.b.2 Number and operations. The student applies mathematical process standards to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system related to place value. The st","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.3.b.2","listEnumeration":"74","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system related to place value. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"34d2ac26-f8c8-5091-994e-70b52b498435","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems34d2ac26-f8c8-5091-994e-70b52b498435","fullStatement":"recognize instantly the quantity of structured arrangements;","alternativeLabel":"111.3.b.2.A recognize instantly the quantity of structured arrangements;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.2.A","listEnumeration":"75","abbreviatedStatement":"recognize instantly the quantity of structured arrangements;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"5f545449-c8e8-5381-90c1-95ebf12ce388","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5f545449-c8e8-5381-90c1-95ebf12ce388","fullStatement":"use concrete and pictorial models to compose and decompose numbers up to 120 in more than one way as so many hundreds, so many tens, and so many ones;","alternativeLabel":"111.3.b.2.B use concrete and pictorial models to compose and decompose numbers up to 120 in more than one way as so many hundreds, so many tens, and so many ones;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.2.B","listEnumeration":"76","abbreviatedStatement":"use concrete and pictorial models to compose and decompose numbers up to 120 in more than one way as so many hundreds, so many tens, and so many ones;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"b1db9d74-ba06-5d47-b22f-a1d03cfd5e3f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb1db9d74-ba06-5d47-b22f-a1d03cfd5e3f","fullStatement":"use objects, pictures, and expanded and standard forms to represent numbers up to 120;","alternativeLabel":"111.3.b.2.C use objects, pictures, and expanded and standard forms to represent numbers up to 120;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.2.C","listEnumeration":"77","abbreviatedStatement":"use objects, pictures, and expanded and standard forms to represent numbers up to 120;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"15bbcc66-1062-5c78-b2a3-b204cac944b3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems15bbcc66-1062-5c78-b2a3-b204cac944b3","fullStatement":"generate a number that is greater than or less than a given whole number up to 120;","alternativeLabel":"111.3.b.2.D generate a number that is greater than or less than a given whole number up to 120;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.2.D","listEnumeration":"78","abbreviatedStatement":"generate a number that is greater than or less than a given whole number up to 120;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"202cc5a2-1155-5eae-9891-b24b7bca1208","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems202cc5a2-1155-5eae-9891-b24b7bca1208","fullStatement":"use place value to compare whole numbers up to 120 using comparative language;","alternativeLabel":"111.3.b.2.E use place value to compare whole numbers up to 120 using comparative language;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.2.E","listEnumeration":"79","abbreviatedStatement":"use place value to compare whole numbers up to 120 using comparative language;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"07fac07c-c268-5a61-aacb-e665b246f3bf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems07fac07c-c268-5a61-aacb-e665b246f3bf","fullStatement":"order whole numbers up to 120 using place value and open number lines; and","alternativeLabel":"111.3.b.2.F order whole numbers up to 120 using place value and open number lines; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.2.F","listEnumeration":"80","abbreviatedStatement":"order whole numbers up to 120 using place value and open number lines; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"02470656-1271-51a6-8bb1-cde50d89ca48","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems02470656-1271-51a6-8bb1-cde50d89ca48","fullStatement":"represent the comparison of two numbers to 100 using the symbols >, <, or =.","alternativeLabel":"111.3.b.2.G represent the comparison of two numbers to 100 using the symbols >, <, or =.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.2.G","listEnumeration":"81","abbreviatedStatement":"represent the comparison of two numbers to 100 using the symbols >, <, or =.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"dfb50630-4828-54aa-8510-9699ea1c8630","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdfb50630-4828-54aa-8510-9699ea1c8630","fullStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies for whole number addition and subtraction computations in order to solve problems. The student is expected to:","alternativeLabel":"111.3.b.3 Number and operations. The student applies mathematical process standards to develop and use strategies for whole number addition and subtraction computations in order to solve problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.3.b.3","listEnumeration":"82","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies for whole number addition and subtraction computations in order to solve problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:53+00:00"},{"identifier":"a9911218-2749-57aa-8931-8db0afb3c0fb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa9911218-2749-57aa-8931-8db0afb3c0fb","fullStatement":"use concrete and pictorial models to determine the sum of a multiple of 10 and a one-digit number in problems up to 99;","alternativeLabel":"111.3.b.3.A use concrete and pictorial models to determine the sum of a multiple of 10 and a one-digit number in problems up to 99;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.3.A","listEnumeration":"83","abbreviatedStatement":"use concrete and pictorial models to determine the sum of a multiple of 10 and a one-digit number in problems up to 99;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"5de3f273-b43a-53c8-976c-4e8966b100a7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5de3f273-b43a-53c8-976c-4e8966b100a7","fullStatement":"use objects and pictorial models to solve word problems involving joining, separating, and comparing sets within 20 and unknowns as any one of the terms in the problem such as 2 + 4 = [ ]; 3 + [ ] = 7; and 5 = [ ] - 3;","alternativeLabel":"111.3.b.3.B use objects and pictorial models to solve word problems involving joining, separating, and comparing sets within 20 and unknowns as any one of the terms in the problem such as 2 + 4 = [ ]; 3 + [ ] = 7; and 5 = [ ] - 3;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.3.B","listEnumeration":"84","abbreviatedStatement":"use objects and pictorial models to solve word problems involving joining, separating, and comparing sets within 20 and unknowns as any one of the terms in the problem such as 2 + 4 = [ ]; 3 + [ ] = 7; and 5 = [ ] - 3;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"102cb142-b948-5b10-906d-2bc56c75f9a5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems102cb142-b948-5b10-906d-2bc56c75f9a5","fullStatement":"compose 10 with two or more addends with and without concrete objects;","alternativeLabel":"111.3.b.3.C compose 10 with two or more addends with and without concrete objects;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.3.C","listEnumeration":"85","abbreviatedStatement":"compose 10 with two or more addends with and without concrete objects;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"a9608845-033a-5736-b597-f8690ed38d6b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa9608845-033a-5736-b597-f8690ed38d6b","fullStatement":"apply basic fact strategies to add and subtract within 20, including making 10 and decomposing a number leading to a 10;","alternativeLabel":"111.3.b.3.D apply basic fact strategies to add and subtract within 20, including making 10 and decomposing a number leading to a 10;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.3.D","listEnumeration":"86","abbreviatedStatement":"apply basic fact strategies to add and subtract within 20, including making 10 and decomposing a number leading to a 10;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"c148b438-f150-55d1-ae1d-88ab1e2ae96d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc148b438-f150-55d1-ae1d-88ab1e2ae96d","fullStatement":"explain strategies used to solve addition and subtraction problems up to 20 using spoken words, objects, pictorial models, and number sentences; and","alternativeLabel":"111.3.b.3.E explain strategies used to solve addition and subtraction problems up to 20 using spoken words, objects, pictorial models, and number sentences; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.3.E","listEnumeration":"87","abbreviatedStatement":"explain strategies used to solve addition and subtraction problems up to 20 using spoken words, objects, pictorial models, and number sentences; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"73b4dcf3-313f-5bff-ac38-85acd795c5be","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems73b4dcf3-313f-5bff-ac38-85acd795c5be","fullStatement":"generate and solve problem situations when given a number sentence involving addition or subtraction of numbers within 20.","alternativeLabel":"111.3.b.3.F generate and solve problem situations when given a number sentence involving addition or subtraction of numbers within 20.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.3.F","listEnumeration":"88","abbreviatedStatement":"generate and solve problem situations when given a number sentence involving addition or subtraction of numbers within 20.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"208e8364-9fba-5d68-8664-fe7e585edc84","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems208e8364-9fba-5d68-8664-fe7e585edc84","fullStatement":"Number and operations. The student applies mathematical process standards to identify coins, their values, and the relationships among them in order to recognize the need for monetary transactions. The student is expected to:","alternativeLabel":"111.3.b.4 Number and operations. The student applies mathematical process standards to identify coins, their values, and the relationships among them in order to recognize the need for monetary transactions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.3.b.4","listEnumeration":"89","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to identify coins, their values, and the relationships among them in order to recognize the need for monetary transactions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"42b1a949-fd54-5fb6-a8f6-82b0d5de510c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems42b1a949-fd54-5fb6-a8f6-82b0d5de510c","fullStatement":"identify U.S. coins, including pennies, nickels, dimes, and quarters, by value and describe the relationships among them;","alternativeLabel":"111.3.b.4.A identify U.S. coins, including pennies, nickels, dimes, and quarters, by value and describe the relationships among them;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.4.A","listEnumeration":"90","abbreviatedStatement":"identify U.S. coins, including pennies, nickels, dimes, and quarters, by value and describe the relationships among them;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"8d3a0908-342a-5797-a2e3-bd7283d45e62","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8d3a0908-342a-5797-a2e3-bd7283d45e62","fullStatement":"write a number with the cent symbol to describe the value of a coin; and","alternativeLabel":"111.3.b.4.B write a number with the cent symbol to describe the value of a coin; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.4.B","listEnumeration":"91","abbreviatedStatement":"write a number with the cent symbol to describe the value of a coin; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"f2dae0b9-26f0-5017-bf1e-87d967bbbdba","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf2dae0b9-26f0-5017-bf1e-87d967bbbdba","fullStatement":"use relationships to count by twos, fives, and tens to determine the value of a collection of pennies, nickels, and/or dimes.","alternativeLabel":"111.3.b.4.C use relationships to count by twos, fives, and tens to determine the value of a collection of pennies, nickels, and/or dimes.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.4.C","listEnumeration":"92","abbreviatedStatement":"use relationships to count by twos, fives, and tens to determine the value of a collection of pennies, nickels, and/or dimes.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"e3043c37-25b9-545a-b0b2-4c3d1ff29a0a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse3043c37-25b9-545a-b0b2-4c3d1ff29a0a","fullStatement":"Algebraic reasoning. The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships. The student is expected to:","alternativeLabel":"111.3.b.5 Algebraic reasoning. The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.3.b.5","listEnumeration":"93","abbreviatedStatement":"Algebraic reasoning. The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"2622a399-bcbd-57a9-981f-c34c0866539b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2622a399-bcbd-57a9-981f-c34c0866539b","fullStatement":"recite numbers forward and backward from any given number between 1 and 120;","alternativeLabel":"111.3.b.5.A recite numbers forward and backward from any given number between 1 and 120;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.5.A","listEnumeration":"94","abbreviatedStatement":"recite numbers forward and backward from any given number between 1 and 120;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"22e50065-b534-58c2-8dc7-4b0bdea99c4c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems22e50065-b534-58c2-8dc7-4b0bdea99c4c","fullStatement":"skip count by twos, fives, and tens to determine the total number of objects up to 120 in a set;","alternativeLabel":"111.3.b.5.B skip count by twos, fives, and tens to determine the total number of objects up to 120 in a set;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.5.B","listEnumeration":"95","abbreviatedStatement":"skip count by twos, fives, and tens to determine the total number of objects up to 120 in a set;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"a0a5891e-29b2-5a3f-8f5d-a7409472f733","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa0a5891e-29b2-5a3f-8f5d-a7409472f733","fullStatement":"use relationships to determine the number that is 10 more and 10 less than a given number up to 120;","alternativeLabel":"111.3.b.5.C use relationships to determine the number that is 10 more and 10 less than a given number up to 120;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.5.C","listEnumeration":"96","abbreviatedStatement":"use relationships to determine the number that is 10 more and 10 less than a given number up to 120;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"a86b82fe-683b-51cb-9b6e-54cf67194c03","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa86b82fe-683b-51cb-9b6e-54cf67194c03","fullStatement":"represent word problems involving addition and subtraction of whole numbers up to 20 using concrete and pictorial models and number sentences;","alternativeLabel":"111.3.b.5.D represent word problems involving addition and subtraction of whole numbers up to 20 using concrete and pictorial models and number sentences;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.5.D","listEnumeration":"97","abbreviatedStatement":"represent word problems involving addition and subtraction of whole numbers up to 20 using concrete and pictorial models and number sentences;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:55+00:00"},{"identifier":"610f2588-d5cc-517c-8b52-ea079d5e9d41","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems610f2588-d5cc-517c-8b52-ea079d5e9d41","fullStatement":"understand that the equal sign represents a relationship where expressions on each side of the equal sign represent the same value(s);","alternativeLabel":"111.3.b.5.E understand that the equal sign represents a relationship where expressions on each side of the equal sign represent the same value(s);","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.5.E","listEnumeration":"98","abbreviatedStatement":"understand that the equal sign represents a relationship where expressions on each side of the equal sign represent the same value(s);","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"acceefc5-a4c6-56ee-b38f-c487e2018fed","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsacceefc5-a4c6-56ee-b38f-c487e2018fed","fullStatement":"determine the unknown whole number in an addition or subtraction equation when the unknown may be any one of the three or four terms in the equation; and","alternativeLabel":"111.3.b.5.F determine the unknown whole number in an addition or subtraction equation when the unknown may be any one of the three or four terms in the equation; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.5.F","listEnumeration":"99","abbreviatedStatement":"determine the unknown whole number in an addition or subtraction equation when the unknown may be any one of the three or four terms in the equation; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"597a39f4-d38d-5d4a-8c10-9525fddbeecc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems597a39f4-d38d-5d4a-8c10-9525fddbeecc","fullStatement":"apply properties of operations to add and subtract two or three numbers.","alternativeLabel":"111.3.b.5.G apply properties of operations to add and subtract two or three numbers.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.5.G","listEnumeration":"100","abbreviatedStatement":"apply properties of operations to add and subtract two or three numbers.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"dfab8d27-84fa-5ae8-8e7a-6dbc5cde4e74","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdfab8d27-84fa-5ae8-8e7a-6dbc5cde4e74","fullStatement":"Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to:","alternativeLabel":"111.3.b.6 Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.3.b.6","listEnumeration":"101","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"32b122b7-9313-5d1c-86ce-c5f194a01a0d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems32b122b7-9313-5d1c-86ce-c5f194a01a0d","fullStatement":"classify and sort regular and irregular two-dimensional shapes based on attributes using informal geometric language;","alternativeLabel":"111.3.b.6.A classify and sort regular and irregular two-dimensional shapes based on attributes using informal geometric language;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.6.A","listEnumeration":"102","abbreviatedStatement":"classify and sort regular and irregular two-dimensional shapes based on attributes using informal geometric language;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"42f058a9-0ccf-5640-902c-7b3356dcb0bc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems42f058a9-0ccf-5640-902c-7b3356dcb0bc","fullStatement":"distinguish between attributes that define a two-dimensional or three-dimensional figure and attributes that do not define the shape;","alternativeLabel":"111.3.b.6.B distinguish between attributes that define a two-dimensional or three-dimensional figure and attributes that do not define the shape;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.6.B","listEnumeration":"103","abbreviatedStatement":"distinguish between attributes that define a two-dimensional or three-dimensional figure and attributes that do not define the shape;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"912b27bf-3867-5be2-929a-8d09de28cb3b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems912b27bf-3867-5be2-929a-8d09de28cb3b","fullStatement":"create two-dimensional figures, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and hexagons;","alternativeLabel":"111.3.b.6.C create two-dimensional figures, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and hexagons;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.6.C","listEnumeration":"104","abbreviatedStatement":"create two-dimensional figures, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and hexagons;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"def399b7-45a9-516b-adcb-bb895c9c230c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdef399b7-45a9-516b-adcb-bb895c9c230c","fullStatement":"identify two-dimensional shapes, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and hexagons and describe their attributes using formal geometric language;","alternativeLabel":"111.3.b.6.D identify two-dimensional shapes, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and hexagons and describe their attributes using formal geometric language;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.6.D","listEnumeration":"105","abbreviatedStatement":"identify two-dimensional shapes, including circles, triangles, rectangles, and squares, as special rectangles, rhombuses, and hexagons and describe their attributes using formal geometric language;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"0138589e-739d-5bb6-a455-1aa6291fb0a5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0138589e-739d-5bb6-a455-1aa6291fb0a5","fullStatement":"identify three-dimensional solids, including spheres, cones, cylinders, rectangular prisms (including cubes), and triangular prisms, and describe their attributes using formal geometric language;","alternativeLabel":"111.3.b.6.E identify three-dimensional solids, including spheres, cones, cylinders, rectangular prisms (including cubes), and triangular prisms, and describe their attributes using formal geometric language;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.6.E","listEnumeration":"106","abbreviatedStatement":"identify three-dimensional solids, including spheres, cones, cylinders, rectangular prisms (including cubes), and triangular prisms, and describe their attributes using formal geometric language;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"4fa616e7-2bc8-5894-bb81-f040d78c0cf9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4fa616e7-2bc8-5894-bb81-f040d78c0cf9","fullStatement":"compose two-dimensional shapes by joining two, three, or four figures to produce a target shape in more than one way if possible;","alternativeLabel":"111.3.b.6.F compose two-dimensional shapes by joining two, three, or four figures to produce a target shape in more than one way if possible;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.6.F","listEnumeration":"107","abbreviatedStatement":"compose two-dimensional shapes by joining two, three, or four figures to produce a target shape in more than one way if possible;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"d21b62ce-8213-5526-b46b-d4bc24fdaeb0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd21b62ce-8213-5526-b46b-d4bc24fdaeb0","fullStatement":"partition two-dimensional figures into two and four fair shares or equal parts and describe the parts using words; and","alternativeLabel":"111.3.b.6.G partition two-dimensional figures into two and four fair shares or equal parts and describe the parts using words; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.6.G","listEnumeration":"108","abbreviatedStatement":"partition two-dimensional figures into two and four fair shares or equal parts and describe the parts using words; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"b23ad491-096e-5b8c-8e9c-ac6c4dfcfaf6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb23ad491-096e-5b8c-8e9c-ac6c4dfcfaf6","fullStatement":"identify examples and non-examples of halves and fourths.","alternativeLabel":"111.3.b.6.H identify examples and non-examples of halves and fourths.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.6.H","listEnumeration":"109","abbreviatedStatement":"identify examples and non-examples of halves and fourths.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"d55a46de-09ae-5df7-9792-2602322c4df1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd55a46de-09ae-5df7-9792-2602322c4df1","fullStatement":"Geometry and measurement. The student applies mathematical process standards to select and use units to describe length and time. The student is expected to:","alternativeLabel":"111.3.b.7 Geometry and measurement. The student applies mathematical process standards to select and use units to describe length and time. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.3.b.7","listEnumeration":"110","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to select and use units to describe length and time. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"3657d3f7-a4ed-504f-a4b7-40b3aba5c355","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3657d3f7-a4ed-504f-a4b7-40b3aba5c355","fullStatement":"use measuring tools to measure the length of objects to reinforce the continuous nature of linear measurement;","alternativeLabel":"111.3.b.7.A use measuring tools to measure the length of objects to reinforce the continuous nature of linear measurement;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.7.A","listEnumeration":"111","abbreviatedStatement":"use measuring tools to measure the length of objects to reinforce the continuous nature of linear measurement;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"44173f88-9d66-5746-9e4d-32d8ce191d5e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems44173f88-9d66-5746-9e4d-32d8ce191d5e","fullStatement":"illustrate that the length of an object is the number of same-size units of length that, when laid end-to-end with no gaps or overlaps, reach from one end of the object to the other;","alternativeLabel":"111.3.b.7.B illustrate that the length of an object is the number of same-size units of length that, when laid end-to-end with no gaps or overlaps, reach from one end of the object to the other;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.7.B","listEnumeration":"112","abbreviatedStatement":"illustrate that the length of an object is the number of same-size units of length that, when laid end-to-end with no gaps or overlaps, reach from one end of the object to the other;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"08ae69c0-f713-5c90-b81a-8f1ff7f18ff8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems08ae69c0-f713-5c90-b81a-8f1ff7f18ff8","fullStatement":"measure the same object/distance with units of two different lengths and describe how and why the measurements differ;","alternativeLabel":"111.3.b.7.C measure the same object/distance with units of two different lengths and describe how and why the measurements differ;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.7.C","listEnumeration":"113","abbreviatedStatement":"measure the same object/distance with units of two different lengths and describe how and why the measurements differ;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:57+00:00"},{"identifier":"cf7b0166-27d8-56c8-96ad-aa141fab1ff8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscf7b0166-27d8-56c8-96ad-aa141fab1ff8","fullStatement":"describe a length to the nearest whole unit using a number and a unit; and","alternativeLabel":"111.3.b.7.D describe a length to the nearest whole unit using a number and a unit; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.7.D","listEnumeration":"114","abbreviatedStatement":"describe a length to the nearest whole unit using a number and a unit; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"3d4c3f0e-74c0-5ff3-a7ea-1315d14e98a6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3d4c3f0e-74c0-5ff3-a7ea-1315d14e98a6","fullStatement":"tell time to the hour and half hour using analog and digital clocks.","alternativeLabel":"111.3.b.7.E tell time to the hour and half hour using analog and digital clocks.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.7.E","listEnumeration":"115","abbreviatedStatement":"tell time to the hour and half hour using analog and digital clocks.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"851837d2-ef86-5440-94b1-53c9de456e0e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems851837d2-ef86-5440-94b1-53c9de456e0e","fullStatement":"Data analysis. The student applies mathematical process standards to organize data to make it useful for interpreting information and solving problems. The student is expected to:","alternativeLabel":"111.3.b.8 Data analysis. The student applies mathematical process standards to organize data to make it useful for interpreting information and solving problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.3.b.8","listEnumeration":"116","abbreviatedStatement":"Data analysis. The student applies mathematical process standards to organize data to make it useful for interpreting information and solving problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"a9fd072f-623b-5f1f-9f17-9b38807f25de","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa9fd072f-623b-5f1f-9f17-9b38807f25de","fullStatement":"collect, sort, and organize data in up to three categories using models/representations such as tally marks or T-charts;","alternativeLabel":"111.3.b.8.A collect, sort, and organize data in up to three categories using models/representations such as tally marks or T-charts;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.8.A","listEnumeration":"117","abbreviatedStatement":"collect, sort, and organize data in up to three categories using models/representations such as tally marks or T-charts;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"0d14173e-de8f-5490-8aaa-0fa4947123cd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0d14173e-de8f-5490-8aaa-0fa4947123cd","fullStatement":"use data to create picture and bar-type graphs; and","alternativeLabel":"111.3.b.8.B use data to create picture and bar-type graphs; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.8.B","listEnumeration":"118","abbreviatedStatement":"use data to create picture and bar-type graphs; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"086f7d54-3228-5fda-a6c7-05fb46fa7494","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems086f7d54-3228-5fda-a6c7-05fb46fa7494","fullStatement":"draw conclusions and generate and answer questions using information from picture and bar-type graphs.","alternativeLabel":"111.3.b.8.C draw conclusions and generate and answer questions using information from picture and bar-type graphs.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.8.C","listEnumeration":"119","abbreviatedStatement":"draw conclusions and generate and answer questions using information from picture and bar-type graphs.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"c410797f-23dd-52a2-ba95-00e71f9aacda","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc410797f-23dd-52a2-ba95-00e71f9aacda","fullStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","alternativeLabel":"111.3.b.9 Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.3.b.9","listEnumeration":"120","abbreviatedStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"93c82510-7cbe-581d-b243-e374f6559a70","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems93c82510-7cbe-581d-b243-e374f6559a70","fullStatement":"define money earned as income;","alternativeLabel":"111.3.b.9.A define money earned as income;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.9.A","listEnumeration":"121","abbreviatedStatement":"define money earned as income;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"8a2662b5-848c-5f4b-97ae-4539f078e571","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8a2662b5-848c-5f4b-97ae-4539f078e571","fullStatement":"identify income as a means of obtaining goods and services, oftentimes making choices between wants and needs;","alternativeLabel":"111.3.b.9.B identify income as a means of obtaining goods and services, oftentimes making choices between wants and needs;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.9.B","listEnumeration":"122","abbreviatedStatement":"identify income as a means of obtaining goods and services, oftentimes making choices between wants and needs;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"17103719-3ea5-5b8e-8703-b341615544fc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems17103719-3ea5-5b8e-8703-b341615544fc","fullStatement":"distinguish between spending and saving; and","alternativeLabel":"111.3.b.9.C distinguish between spending and saving; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.9.C","listEnumeration":"123","abbreviatedStatement":"distinguish between spending and saving; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"c8000d05-ed3f-5158-8db4-41012de6b583","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc8000d05-ed3f-5158-8db4-41012de6b583","fullStatement":"consider charitable giving.","alternativeLabel":"111.3.b.9.D consider charitable giving.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.3.b.9.D","listEnumeration":"124","abbreviatedStatement":"consider charitable giving.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"b4bd6300-6237-5173-a653-4f4106426043","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb4bd6300-6237-5173-a653-4f4106426043","fullStatement":"Grade 2, Adopted 2012.","alternativeLabel":"111.4 Grade 2, Adopted 2012.","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.4","listEnumeration":"125","abbreviatedStatement":"Grade 2, Adopted 2012.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"9cf44453-0108-56bb-8ce8-2630d582500d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9cf44453-0108-56bb-8ce8-2630d582500d","fullStatement":"Introduction.","alternativeLabel":"111.4.a Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.4.a","listEnumeration":"126","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"4f194c3a-0f73-5923-9446-976e0998ec35","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4f194c3a-0f73-5923-9446-976e0998ec35","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.4.a.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while foc","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.4.a.1","listEnumeration":"127","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"7ba9df55-8812-575b-80da-ab29b8ca1468","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7ba9df55-8812-575b-80da-ab29b8ca1468","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.4.a.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standar","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.4.a.2","listEnumeration":"128","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:11:59+00:00"},{"identifier":"ba9c9650-8dbf-5ad8-861c-6ae5b470f36d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsba9c9650-8dbf-5ad8-861c-6ae5b470f36d","fullStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 2 are expected to perform their work without the use of calculators.","alternativeLabel":"111.4.a.3 For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficient","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.4.a.3","listEnumeration":"129","abbreviatedStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 2 are expected to perform their work without the use of calculators.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"65bd911c-915a-5e01-a865-c755fe9e2677","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems65bd911c-915a-5e01-a865-c755fe9e2677","fullStatement":"The primary focal areas in Grade 2 are making comparisons within the base-10 place value system, solving problems with addition and subtraction within 1,000, and building foundations for multiplication.","alternativeLabel":"111.4.a.4 The primary focal areas in Grade 2 are making comparisons within the base-10 place value system, solving problems with addition and subtraction within 1,000, and building foundations for multiplication.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.4.a.4","listEnumeration":"130","abbreviatedStatement":"The primary focal areas in Grade 2 are making comparisons within the base-10 place value system, solving problems with addition and subtraction within 1,000, and building foundations for multiplication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"96d5ff94-f3f4-5cf8-b8eb-91b18b68f232","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems96d5ff94-f3f4-5cf8-b8eb-91b18b68f232","fullStatement":"Students develop an understanding of the base-10 place value system and place value concepts. The students' understanding of base-10 place value includes ideas of counting in units and multiples of thousands, hundreds, tens, and ones and a grasp of number relationships, which students demonstrate in a variety of ways.","alternativeLabel":"111.4.a.4.A Students develop an understanding of the base-10 place value system and place value concepts. The students' understanding of base-10 place value includes ideas of counting in units and multiples of thousands, hundreds, tens, and ones and a gra","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.4.a.4.A","listEnumeration":"131","abbreviatedStatement":"Students develop an understanding of the base-10 place value system and place value concepts. The students' understanding of base-10 place value includes ideas of counting in units and multiples of thousands, hundreds, tens, and ones and a grasp of number relationships, which students demonstrate in a variety of ways.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"8cbb5d78-0648-5151-8b95-82bd77db6912","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8cbb5d78-0648-5151-8b95-82bd77db6912","fullStatement":"Students identify situations in which addition and subtraction are useful to solve problems. Students develop a variety of strategies to use efficient, accurate, and generalizable methods to add and subtract multi-digit whole numbers.","alternativeLabel":"111.4.a.4.B Students identify situations in which addition and subtraction are useful to solve problems. Students develop a variety of strategies to use efficient, accurate, and generalizable methods to add and subtract multi-digit whole numbers.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.4.a.4.B","listEnumeration":"132","abbreviatedStatement":"Students identify situations in which addition and subtraction are useful to solve problems. Students develop a variety of strategies to use efficient, accurate, and generalizable methods to add and subtract multi-digit whole numbers.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"757f3949-1bf4-51c5-809b-0541a8dd07a8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems757f3949-1bf4-51c5-809b-0541a8dd07a8","fullStatement":"Students use the relationship between skip counting and equal groups of objects to represent the addition or subtraction of equivalent sets, which builds a strong foundation for multiplication and division.","alternativeLabel":"111.4.a.4.C Students use the relationship between skip counting and equal groups of objects to represent the addition or subtraction of equivalent sets, which builds a strong foundation for multiplication and division.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.4.a.4.C","listEnumeration":"133","abbreviatedStatement":"Students use the relationship between skip counting and equal groups of objects to represent the addition or subtraction of equivalent sets, which builds a strong foundation for multiplication and division.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"063ae1bb-c2fb-5797-acaa-235ae7096f77","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems063ae1bb-c2fb-5797-acaa-235ae7096f77","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.4.a.5 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.4.a.5","listEnumeration":"134","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"bce61abf-c0cb-5ed8-8878-f0b8809e0085","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbce61abf-c0cb-5ed8-8878-f0b8809e0085","fullStatement":"Knowledge and skills.","alternativeLabel":"111.4.b Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.4.b","listEnumeration":"135","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"3a376ad1-8871-5f95-966b-c3d3bcb63618","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3a376ad1-8871-5f95-966b-c3d3bcb63618","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.4.b.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.1","listEnumeration":"136","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"8296e034-9e2d-5f29-9c10-38cb6689e627","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8296e034-9e2d-5f29-9c10-38cb6689e627","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.4.b.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.1.A","listEnumeration":"137","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"65025016-eb5d-55ca-a9c7-342e07b50a3d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems65025016-eb5d-55ca-a9c7-342e07b50a3d","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.4.b.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.1.B","listEnumeration":"138","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"2ed2983f-b8a3-5f25-81c7-a07ccca38d24","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2ed2983f-b8a3-5f25-81c7-a07ccca38d24","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.4.b.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.1.C","listEnumeration":"139","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"f1b50577-1664-5cfa-a210-2cf2d3cc072e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf1b50577-1664-5cfa-a210-2cf2d3cc072e","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.4.b.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.1.D","listEnumeration":"140","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"5bfb4752-a4bd-540d-bc3d-9e2f3de029a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5bfb4752-a4bd-540d-bc3d-9e2f3de029a4","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.4.b.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.1.E","listEnumeration":"141","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"1f8439b5-5a85-5b40-be04-e4f79e07ca86","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1f8439b5-5a85-5b40-be04-e4f79e07ca86","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.4.b.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.1.F","listEnumeration":"142","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"00ec5ec1-28a6-5413-bf6e-467ff31ad662","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems00ec5ec1-28a6-5413-bf6e-467ff31ad662","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.4.b.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.1.G","listEnumeration":"143","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:01+00:00"},{"identifier":"ae200591-4ba6-5d41-ba9d-848477422dcf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsae200591-4ba6-5d41-ba9d-848477422dcf","fullStatement":"Number and operations. The student applies mathematical process standards to understand how to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system related to place value. The student is expected to:","alternativeLabel":"111.4.b.2 Number and operations. The student applies mathematical process standards to understand how to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system related to p","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.2","listEnumeration":"144","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to understand how to represent and compare whole numbers, the relative position and magnitude of whole numbers, and relationships within the numeration system related to place value. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"f64a10a8-8796-51cb-bfdf-9489cefaaa21","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf64a10a8-8796-51cb-bfdf-9489cefaaa21","fullStatement":"use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones;","alternativeLabel":"111.4.b.2.A use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.2.A","listEnumeration":"145","abbreviatedStatement":"use concrete and pictorial models to compose and decompose numbers up to 1,200 in more than one way as a sum of so many thousands, hundreds, tens, and ones;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"726c03e4-6fcb-5756-b92c-5a2cd30bcef5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems726c03e4-6fcb-5756-b92c-5a2cd30bcef5","fullStatement":"use standard, word, and expanded forms to represent numbers up to 1,200;","alternativeLabel":"111.4.b.2.B use standard, word, and expanded forms to represent numbers up to 1,200;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.2.B","listEnumeration":"146","abbreviatedStatement":"use standard, word, and expanded forms to represent numbers up to 1,200;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"faa3a401-4bc0-5c97-a7a8-5e6b2c3b0ca4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfaa3a401-4bc0-5c97-a7a8-5e6b2c3b0ca4","fullStatement":"generate a number that is greater than or less than a given whole number up to 1,200;","alternativeLabel":"111.4.b.2.C generate a number that is greater than or less than a given whole number up to 1,200;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.2.C","listEnumeration":"147","abbreviatedStatement":"generate a number that is greater than or less than a given whole number up to 1,200;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"436d9e9d-2b68-5dd3-b385-f2ad8ce1880e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems436d9e9d-2b68-5dd3-b385-f2ad8ce1880e","fullStatement":"use place value to compare and order whole numbers up to 1,200 using comparative language, numbers, and symbols (>, <, or =);","alternativeLabel":"111.4.b.2.D use place value to compare and order whole numbers up to 1,200 using comparative language, numbers, and symbols (>, <, or =);","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.2.D","listEnumeration":"148","abbreviatedStatement":"use place value to compare and order whole numbers up to 1,200 using comparative language, numbers, and symbols (>, <, or =);","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"c0841e7d-321d-5220-a48f-605ba42f0e56","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc0841e7d-321d-5220-a48f-605ba42f0e56","fullStatement":"locate the position of a given whole number on an open number line; and","alternativeLabel":"111.4.b.2.E locate the position of a given whole number on an open number line; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.2.E","listEnumeration":"149","abbreviatedStatement":"locate the position of a given whole number on an open number line; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"ac553fb4-f3f3-5607-a51f-d5ff8fc50d9c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsac553fb4-f3f3-5607-a51f-d5ff8fc50d9c","fullStatement":"name the whole number that corresponds to a specific point on a number line.","alternativeLabel":"111.4.b.2.F name the whole number that corresponds to a specific point on a number line.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.2.F","listEnumeration":"150","abbreviatedStatement":"name the whole number that corresponds to a specific point on a number line.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"4989f9fe-7fec-55c2-98a6-2856311a1d76","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4989f9fe-7fec-55c2-98a6-2856311a1d76","fullStatement":"Number and operations. The student applies mathematical process standards to recognize and represent fractional units and communicates how they are used to name parts of a whole. The student is expected to:","alternativeLabel":"111.4.b.3 Number and operations. The student applies mathematical process standards to recognize and represent fractional units and communicates how they are used to name parts of a whole. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.3","listEnumeration":"151","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to recognize and represent fractional units and communicates how they are used to name parts of a whole. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"a9f49daa-c7b7-5476-9f98-296dd1d96434","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa9f49daa-c7b7-5476-9f98-296dd1d96434","fullStatement":"partition objects into equal parts and name the parts, including halves, fourths, and eighths, using words;","alternativeLabel":"111.4.b.3.A partition objects into equal parts and name the parts, including halves, fourths, and eighths, using words;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.3.A","listEnumeration":"152","abbreviatedStatement":"partition objects into equal parts and name the parts, including halves, fourths, and eighths, using words;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"c5f6aa46-a973-5f98-bd4b-4a881989dea4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc5f6aa46-a973-5f98-bd4b-4a881989dea4","fullStatement":"explain that the more fractional parts used to make a whole, the smaller the part; and the fewer the fractional parts, the larger the part;","alternativeLabel":"111.4.b.3.B explain that the more fractional parts used to make a whole, the smaller the part; and the fewer the fractional parts, the larger the part;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.3.B","listEnumeration":"153","abbreviatedStatement":"explain that the more fractional parts used to make a whole, the smaller the part; and the fewer the fractional parts, the larger the part;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"33ced6ad-6e38-57fd-8de8-9437ba4832d9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems33ced6ad-6e38-57fd-8de8-9437ba4832d9","fullStatement":"use concrete models to count fractional parts beyond one whole using words and recognize how many parts it takes to equal one whole; and","alternativeLabel":"111.4.b.3.C use concrete models to count fractional parts beyond one whole using words and recognize how many parts it takes to equal one whole; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.3.C","listEnumeration":"154","abbreviatedStatement":"use concrete models to count fractional parts beyond one whole using words and recognize how many parts it takes to equal one whole; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"5434416f-e210-54c8-b496-ee47d65ce129","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5434416f-e210-54c8-b496-ee47d65ce129","fullStatement":"identify examples and non-examples of halves, fourths, and eighths.","alternativeLabel":"111.4.b.3.D identify examples and non-examples of halves, fourths, and eighths.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.3.D","listEnumeration":"155","abbreviatedStatement":"identify examples and non-examples of halves, fourths, and eighths.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"ed26f4be-e7d7-561b-a8e0-081f0be4a05a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsed26f4be-e7d7-561b-a8e0-081f0be4a05a","fullStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations in order to solve addition and subtraction problems with efficiency and accuracy. The student is expected to:","alternativeLabel":"111.4.b.4 Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations in order to solve addition and subtraction problems with efficiency and accuracy. The student is ex","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.4","listEnumeration":"156","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations in order to solve addition and subtraction problems with efficiency and accuracy. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"ada2cf8b-2633-5283-b7e2-5da05775e95e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsada2cf8b-2633-5283-b7e2-5da05775e95e","fullStatement":"recall basic facts to add and subtract within 20 with automaticity;","alternativeLabel":"111.4.b.4.A recall basic facts to add and subtract within 20 with automaticity;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.4.A","listEnumeration":"157","abbreviatedStatement":"recall basic facts to add and subtract within 20 with automaticity;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"750e2fc7-d35c-5ffb-b59d-6cfc7919f5c7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems750e2fc7-d35c-5ffb-b59d-6cfc7919f5c7","fullStatement":"add up to four two-digit numbers and subtract two-digit numbers using mental strategies and algorithms based on knowledge of place value and properties of operations;","alternativeLabel":"111.4.b.4.B add up to four two-digit numbers and subtract two-digit numbers using mental strategies and algorithms based on knowledge of place value and properties of operations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.4.B","listEnumeration":"158","abbreviatedStatement":"add up to four two-digit numbers and subtract two-digit numbers using mental strategies and algorithms based on knowledge of place value and properties of operations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"7649ffa3-92ab-52e1-be8e-dcacf9477c5d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7649ffa3-92ab-52e1-be8e-dcacf9477c5d","fullStatement":"solve one-step and multi-step word problems involving addition and subtraction within 1,000 using a variety of strategies based on place value, including algorithms; and","alternativeLabel":"111.4.b.4.C solve one-step and multi-step word problems involving addition and subtraction within 1,000 using a variety of strategies based on place value, including algorithms; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.4.C","listEnumeration":"159","abbreviatedStatement":"solve one-step and multi-step word problems involving addition and subtraction within 1,000 using a variety of strategies based on place value, including algorithms; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:03+00:00"},{"identifier":"f716ecc1-5917-5013-b15c-7eecc5e5da43","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf716ecc1-5917-5013-b15c-7eecc5e5da43","fullStatement":"generate and solve problem situations for a given mathematical number sentence involving addition and subtraction of whole numbers within 1,000.","alternativeLabel":"111.4.b.4.D generate and solve problem situations for a given mathematical number sentence involving addition and subtraction of whole numbers within 1,000.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.4.D","listEnumeration":"160","abbreviatedStatement":"generate and solve problem situations for a given mathematical number sentence involving addition and subtraction of whole numbers within 1,000.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"0f5c36f8-19d5-526e-a830-46bc975d75c4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0f5c36f8-19d5-526e-a830-46bc975d75c4","fullStatement":"Number and operations. The student applies mathematical process standards to determine the value of coins in order to solve monetary transactions. The student is expected to:","alternativeLabel":"111.4.b.5 Number and operations. The student applies mathematical process standards to determine the value of coins in order to solve monetary transactions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.5","listEnumeration":"161","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to determine the value of coins in order to solve monetary transactions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"52fe6466-6244-5740-b971-7617553915ae","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems52fe6466-6244-5740-b971-7617553915ae","fullStatement":"determine the value of a collection of coins up to one dollar; and","alternativeLabel":"111.4.b.5.A determine the value of a collection of coins up to one dollar; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.5.A","listEnumeration":"162","abbreviatedStatement":"determine the value of a collection of coins up to one dollar; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"bcf37994-fdce-5354-9565-51640060a7d0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbcf37994-fdce-5354-9565-51640060a7d0","fullStatement":"use the cent symbol, dollar sign, and the decimal point to name the value of a collection of coins.","alternativeLabel":"111.4.b.5.B use the cent symbol, dollar sign, and the decimal point to name the value of a collection of coins.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.5.B","listEnumeration":"163","abbreviatedStatement":"use the cent symbol, dollar sign, and the decimal point to name the value of a collection of coins.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"31b4cf26-c760-582e-a465-e0d5bdee08e2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems31b4cf26-c760-582e-a465-e0d5bdee08e2","fullStatement":"Number and operations. The student applies mathematical process standards to connect repeated addition and subtraction to multiplication and division situations that involve equal groupings and shares. The student is expected to:","alternativeLabel":"111.4.b.6 Number and operations. The student applies mathematical process standards to connect repeated addition and subtraction to multiplication and division situations that involve equal groupings and shares. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.6","listEnumeration":"164","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to connect repeated addition and subtraction to multiplication and division situations that involve equal groupings and shares. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"49204434-8e95-567a-8f49-5e893aa19318","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems49204434-8e95-567a-8f49-5e893aa19318","fullStatement":"model, create, and describe contextual multiplication situations in which equivalent sets of concrete objects are joined; and","alternativeLabel":"111.4.b.6.A model, create, and describe contextual multiplication situations in which equivalent sets of concrete objects are joined; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.6.A","listEnumeration":"165","abbreviatedStatement":"model, create, and describe contextual multiplication situations in which equivalent sets of concrete objects are joined; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"e84f43d9-a719-584e-aac7-f8e1d43cef56","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse84f43d9-a719-584e-aac7-f8e1d43cef56","fullStatement":"model, create, and describe contextual division situations in which a set of concrete objects is separated into equivalent sets.","alternativeLabel":"111.4.b.6.B model, create, and describe contextual division situations in which a set of concrete objects is separated into equivalent sets.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.6.B","listEnumeration":"166","abbreviatedStatement":"model, create, and describe contextual division situations in which a set of concrete objects is separated into equivalent sets.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"f1b29f13-9e9c-500e-99f9-d46bcb1f3a21","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf1b29f13-9e9c-500e-99f9-d46bcb1f3a21","fullStatement":"Algebraic reasoning. The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships. The student is expected to:","alternativeLabel":"111.4.b.7 Algebraic reasoning. The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.7","listEnumeration":"167","abbreviatedStatement":"Algebraic reasoning. The student applies mathematical process standards to identify and apply number patterns within properties of numbers and operations in order to describe relationships. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"63f13bc6-7997-5e3d-85c5-2b5e3edc4ec8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems63f13bc6-7997-5e3d-85c5-2b5e3edc4ec8","fullStatement":"determine whether a number up to 40 is even or odd using pairings of objects to represent the number;","alternativeLabel":"111.4.b.7.A determine whether a number up to 40 is even or odd using pairings of objects to represent the number;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.7.A","listEnumeration":"168","abbreviatedStatement":"determine whether a number up to 40 is even or odd using pairings of objects to represent the number;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"a3241c20-033b-56da-8878-c0cec6e14eec","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa3241c20-033b-56da-8878-c0cec6e14eec","fullStatement":"use an understanding of place value to determine the number that is 10 or 100 more or less than a given number up to 1,200; and","alternativeLabel":"111.4.b.7.B use an understanding of place value to determine the number that is 10 or 100 more or less than a given number up to 1,200; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.7.B","listEnumeration":"169","abbreviatedStatement":"use an understanding of place value to determine the number that is 10 or 100 more or less than a given number up to 1,200; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"35b1be87-3451-56ff-b8f0-bba099893253","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems35b1be87-3451-56ff-b8f0-bba099893253","fullStatement":"represent and solve addition and subtraction word problems where unknowns may be any one of the terms in the problem.","alternativeLabel":"111.4.b.7.C represent and solve addition and subtraction word problems where unknowns may be any one of the terms in the problem.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.7.C","listEnumeration":"170","abbreviatedStatement":"represent and solve addition and subtraction word problems where unknowns may be any one of the terms in the problem.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"e3f87a9f-8134-5956-b353-bce4fa261285","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse3f87a9f-8134-5956-b353-bce4fa261285","fullStatement":"Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to:","alternativeLabel":"111.4.b.8 Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.8","listEnumeration":"171","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"2ecd9e78-a70e-5b6c-b6b5-b692a6406a9c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2ecd9e78-a70e-5b6c-b6b5-b692a6406a9c","fullStatement":"create two-dimensional shapes based on given attributes, including number of sides and vertices;","alternativeLabel":"111.4.b.8.A create two-dimensional shapes based on given attributes, including number of sides and vertices;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.8.A","listEnumeration":"172","abbreviatedStatement":"create two-dimensional shapes based on given attributes, including number of sides and vertices;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"4c314ea4-de7c-5ce8-8c50-90c524dd11a6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4c314ea4-de7c-5ce8-8c50-90c524dd11a6","fullStatement":"classify and sort three-dimensional solids, including spheres, cones, cylinders, rectangular prisms (including cubes as special rectangular prisms), and triangular prisms, based on attributes using formal geometric language;","alternativeLabel":"111.4.b.8.B classify and sort three-dimensional solids, including spheres, cones, cylinders, rectangular prisms (including cubes as special rectangular prisms), and triangular prisms, based on attributes using formal geometric language;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.8.B","listEnumeration":"173","abbreviatedStatement":"classify and sort three-dimensional solids, including spheres, cones, cylinders, rectangular prisms (including cubes as special rectangular prisms), and triangular prisms, based on attributes using formal geometric language;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"3ea9934c-476b-52d3-b9c0-8f035834e0e9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3ea9934c-476b-52d3-b9c0-8f035834e0e9","fullStatement":"classify and sort polygons with 12 or fewer sides according to attributes, including identifying the number of sides and number of vertices;","alternativeLabel":"111.4.b.8.C classify and sort polygons with 12 or fewer sides according to attributes, including identifying the number of sides and number of vertices;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.8.C","listEnumeration":"174","abbreviatedStatement":"classify and sort polygons with 12 or fewer sides according to attributes, including identifying the number of sides and number of vertices;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:05+00:00"},{"identifier":"853c9d33-5abe-53f7-836c-83439ce53186","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems853c9d33-5abe-53f7-836c-83439ce53186","fullStatement":"compose two-dimensional shapes and three-dimensional solids with given properties or attributes; and","alternativeLabel":"111.4.b.8.D compose two-dimensional shapes and three-dimensional solids with given properties or attributes; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.8.D","listEnumeration":"175","abbreviatedStatement":"compose two-dimensional shapes and three-dimensional solids with given properties or attributes; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"66dad295-d811-5a96-aae4-916e9ed4f759","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems66dad295-d811-5a96-aae4-916e9ed4f759","fullStatement":"decompose two-dimensional shapes such as cutting out a square from a rectangle, dividing a shape in half, or partitioning a rectangle into identical triangles and identify the resulting geometric parts.","alternativeLabel":"111.4.b.8.E decompose two-dimensional shapes such as cutting out a square from a rectangle, dividing a shape in half, or partitioning a rectangle into identical triangles and identify the resulting geometric parts.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.8.E","listEnumeration":"176","abbreviatedStatement":"decompose two-dimensional shapes such as cutting out a square from a rectangle, dividing a shape in half, or partitioning a rectangle into identical triangles and identify the resulting geometric parts.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"3f1e6e56-fad6-5500-9a27-83874e4d8196","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3f1e6e56-fad6-5500-9a27-83874e4d8196","fullStatement":"Geometry and measurement. The student applies mathematical process standards to select and use units to describe length, area, and time. The student is expected to:","alternativeLabel":"111.4.b.9 Geometry and measurement. The student applies mathematical process standards to select and use units to describe length, area, and time. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.9","listEnumeration":"177","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to select and use units to describe length, area, and time. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"c53f6c22-a69d-5cc5-9be0-3bad3722df3b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc53f6c22-a69d-5cc5-9be0-3bad3722df3b","fullStatement":"find the length of objects using concrete models for standard units of length;","alternativeLabel":"111.4.b.9.A find the length of objects using concrete models for standard units of length;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.9.A","listEnumeration":"178","abbreviatedStatement":"find the length of objects using concrete models for standard units of length;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"fb43f5a1-4a73-5dd3-8e80-be90c374e8e1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfb43f5a1-4a73-5dd3-8e80-be90c374e8e1","fullStatement":"describe the inverse relationship between the size of the unit and the number of units needed to equal the length of an object;","alternativeLabel":"111.4.b.9.B describe the inverse relationship between the size of the unit and the number of units needed to equal the length of an object;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.9.B","listEnumeration":"179","abbreviatedStatement":"describe the inverse relationship between the size of the unit and the number of units needed to equal the length of an object;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"69d81bfa-1fe0-51c6-9779-004b713f7f0c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems69d81bfa-1fe0-51c6-9779-004b713f7f0c","fullStatement":"represent whole numbers as distances from any given location on a number line;","alternativeLabel":"111.4.b.9.C represent whole numbers as distances from any given location on a number line;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.9.C","listEnumeration":"180","abbreviatedStatement":"represent whole numbers as distances from any given location on a number line;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"0eaf9a8d-4443-5e17-acee-8660a4f8541e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0eaf9a8d-4443-5e17-acee-8660a4f8541e","fullStatement":"determine the length of an object to the nearest marked unit using rulers, yardsticks, meter sticks, or measuring tapes;","alternativeLabel":"111.4.b.9.D determine the length of an object to the nearest marked unit using rulers, yardsticks, meter sticks, or measuring tapes;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.9.D","listEnumeration":"181","abbreviatedStatement":"determine the length of an object to the nearest marked unit using rulers, yardsticks, meter sticks, or measuring tapes;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"012cc3d2-e2b4-5273-b666-a36a78360922","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems012cc3d2-e2b4-5273-b666-a36a78360922","fullStatement":"determine a solution to a problem involving length, including estimating lengths;","alternativeLabel":"111.4.b.9.E determine a solution to a problem involving length, including estimating lengths;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.9.E","listEnumeration":"182","abbreviatedStatement":"determine a solution to a problem involving length, including estimating lengths;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"39146f23-1810-5bb0-b09f-6594b8d89a8f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems39146f23-1810-5bb0-b09f-6594b8d89a8f","fullStatement":"use concrete models of square units to find the area of a rectangle by covering it with no gaps or overlaps, counting to find the total number of square units, and describing the measurement using a number and the unit; and","alternativeLabel":"111.4.b.9.F use concrete models of square units to find the area of a rectangle by covering it with no gaps or overlaps, counting to find the total number of square units, and describing the measurement using a number and the unit; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.9.F","listEnumeration":"183","abbreviatedStatement":"use concrete models of square units to find the area of a rectangle by covering it with no gaps or overlaps, counting to find the total number of square units, and describing the measurement using a number and the unit; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"00dbc358-8f27-588f-b75e-ec9f265f7017","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems00dbc358-8f27-588f-b75e-ec9f265f7017","fullStatement":"read and write time to the nearest one-minute increment using analog and digital clocks and distinguish between a.m. and p.m.","alternativeLabel":"111.4.b.9.G read and write time to the nearest one-minute increment using analog and digital clocks and distinguish between a.m. and p.m.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.9.G","listEnumeration":"184","abbreviatedStatement":"read and write time to the nearest one-minute increment using analog and digital clocks and distinguish between a.m. and p.m.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"7be3332f-e350-5f06-a244-377b094829f5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7be3332f-e350-5f06-a244-377b094829f5","fullStatement":"Data analysis. The student applies mathematical process standards to organize data to make it useful for interpreting information and solving problems. The student is expected to:","alternativeLabel":"111.4.b.10 Data analysis. The student applies mathematical process standards to organize data to make it useful for interpreting information and solving problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.10","listEnumeration":"185","abbreviatedStatement":"Data analysis. The student applies mathematical process standards to organize data to make it useful for interpreting information and solving problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"7236d2eb-dac3-5174-a297-0b7785f83929","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7236d2eb-dac3-5174-a297-0b7785f83929","fullStatement":"explain that the length of a bar in a bar graph or the number of pictures in a pictograph represents the number of data points for a given category;","alternativeLabel":"111.4.b.10.A explain that the length of a bar in a bar graph or the number of pictures in a pictograph represents the number of data points for a given category;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.10.A","listEnumeration":"186","abbreviatedStatement":"explain that the length of a bar in a bar graph or the number of pictures in a pictograph represents the number of data points for a given category;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"c033b4e5-a284-5b6c-996f-1356d06c2347","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc033b4e5-a284-5b6c-996f-1356d06c2347","fullStatement":"organize a collection of data with up to four categories using pictographs and bar graphs with intervals of one or more;","alternativeLabel":"111.4.b.10.B organize a collection of data with up to four categories using pictographs and bar graphs with intervals of one or more;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.10.B","listEnumeration":"187","abbreviatedStatement":"organize a collection of data with up to four categories using pictographs and bar graphs with intervals of one or more;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"338a32c7-44b7-58aa-be5f-ffabe04ea686","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems338a32c7-44b7-58aa-be5f-ffabe04ea686","fullStatement":"write and solve one-step word problems involving addition or subtraction using data represented within pictographs and bar graphs with intervals of one; and","alternativeLabel":"111.4.b.10.C write and solve one-step word problems involving addition or subtraction using data represented within pictographs and bar graphs with intervals of one; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.10.C","listEnumeration":"188","abbreviatedStatement":"write and solve one-step word problems involving addition or subtraction using data represented within pictographs and bar graphs with intervals of one; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"cc92b49a-9c07-5ef4-9236-42715dff7fbe","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscc92b49a-9c07-5ef4-9236-42715dff7fbe","fullStatement":"draw conclusions and make predictions from information in a graph.","alternativeLabel":"111.4.b.10.D draw conclusions and make predictions from information in a graph.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.10.D","listEnumeration":"189","abbreviatedStatement":"draw conclusions and make predictions from information in a graph.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"20c50fd6-5c59-5c13-9697-6a9c6853ae65","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems20c50fd6-5c59-5c13-9697-6a9c6853ae65","fullStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","alternativeLabel":"111.4.b.11 Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.4.b.11","listEnumeration":"190","abbreviatedStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:07+00:00"},{"identifier":"faca3224-a233-504d-a27f-07cded804a01","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfaca3224-a233-504d-a27f-07cded804a01","fullStatement":"calculate how money saved can accumulate into a larger amount over time;","alternativeLabel":"111.4.b.11.A calculate how money saved can accumulate into a larger amount over time;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.11.A","listEnumeration":"191","abbreviatedStatement":"calculate how money saved can accumulate into a larger amount over time;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"78aa97b3-dfe4-504a-a449-af9079c45b1b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems78aa97b3-dfe4-504a-a449-af9079c45b1b","fullStatement":"explain that saving is an alternative to spending;","alternativeLabel":"111.4.b.11.B explain that saving is an alternative to spending;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.11.B","listEnumeration":"192","abbreviatedStatement":"explain that saving is an alternative to spending;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"62d8b865-9b8d-598b-9719-120d58d5444d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems62d8b865-9b8d-598b-9719-120d58d5444d","fullStatement":"distinguish between a deposit and a withdrawal;","alternativeLabel":"111.4.b.11.C distinguish between a deposit and a withdrawal;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.11.C","listEnumeration":"193","abbreviatedStatement":"distinguish between a deposit and a withdrawal;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"eba22ae1-135b-5360-b7ac-f63547804833","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemseba22ae1-135b-5360-b7ac-f63547804833","fullStatement":"identify examples of borrowing and distinguish between responsible and irresponsible borrowing;","alternativeLabel":"111.4.b.11.D identify examples of borrowing and distinguish between responsible and irresponsible borrowing;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.11.D","listEnumeration":"194","abbreviatedStatement":"identify examples of borrowing and distinguish between responsible and irresponsible borrowing;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"949ab9b3-e44b-5979-b628-82049b4b24ff","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems949ab9b3-e44b-5979-b628-82049b4b24ff","fullStatement":"identify examples of lending and use concepts of benefits and costs to evaluate lending decisions; and","alternativeLabel":"111.4.b.11.E identify examples of lending and use concepts of benefits and costs to evaluate lending decisions; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.11.E","listEnumeration":"195","abbreviatedStatement":"identify examples of lending and use concepts of benefits and costs to evaluate lending decisions; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"5697962d-96c1-527b-adfd-95fdbb7b77c9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5697962d-96c1-527b-adfd-95fdbb7b77c9","fullStatement":"differentiate between producers and consumers and calculate the cost to produce a simple item.","alternativeLabel":"111.4.b.11.F differentiate between producers and consumers and calculate the cost to produce a simple item.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.4.b.11.F","listEnumeration":"196","abbreviatedStatement":"differentiate between producers and consumers and calculate the cost to produce a simple item.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"48f1c219-b034-5d76-a1a1-66d42dc68a17","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems48f1c219-b034-5d76-a1a1-66d42dc68a17","fullStatement":"Grade 3, Adopted 2012.","alternativeLabel":"111.5 Grade 3, Adopted 2012.","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.5","listEnumeration":"197","abbreviatedStatement":"Grade 3, Adopted 2012.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"a1c21cfd-e853-5a2c-a29e-5214bab3a5ab","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa1c21cfd-e853-5a2c-a29e-5214bab3a5ab","fullStatement":"Introduction.","alternativeLabel":"111.5.a Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.5.a","listEnumeration":"198","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"95fc2d80-8c64-5862-b65e-a186779d539f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems95fc2d80-8c64-5862-b65e-a186779d539f","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.5.a.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while foc","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.5.a.1","listEnumeration":"199","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"323cc89a-ab3c-5e2a-9cac-e28a07728808","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems323cc89a-ab3c-5e2a-9cac-e28a07728808","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.5.a.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standar","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.5.a.2","listEnumeration":"200","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"77796037-de8d-5fe4-afaa-6b69eb0fba24","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems77796037-de8d-5fe4-afaa-6b69eb0fba24","fullStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 3 are expected to perform their work without the use of calculators.","alternativeLabel":"111.5.a.3 For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficient","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.5.a.3","listEnumeration":"201","abbreviatedStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 3 are expected to perform their work without the use of calculators.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"03e20c9d-1d27-5ad9-816a-d4ef93e5fdfc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems03e20c9d-1d27-5ad9-816a-d4ef93e5fdfc","fullStatement":"The primary focal areas in Grade 3 are place value, operations of whole numbers, and understanding fractional units. These focal areas are supported throughout the mathematical strands of number and operations, algebraic reasoning, geometry and measurement, and data analysis. In Grades 3-5, the number set is limited to positive rational numbers. In number and operations, students will focus on applying place value, comparing and ordering whole numbers, connecting multiplication and division, and understanding and representing fractions as numbers and equivalent fractions. In algebraic reasoning, students will use multiple representations of problem situations, determine missing values in number sentences, and represent real-world relationships using number pairs in a table and verbal descriptions. In geometry and measurement, students will identify and classify two-dimensional figures according to common attributes, decompose composite figures formed by rectangles to determine area, determine the perimeter of polygons, solve problems involving time, and measure liquid volume (capacity) or weight. In data analysis, students will represent and interpret data.","alternativeLabel":"111.5.a.4 The primary focal areas in Grade 3 are place value, operations of whole numbers, and understanding fractional units. These focal areas are supported throughout the mathematical strands of number and operations, algebraic reasoning, geometry and ","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.5.a.4","listEnumeration":"202","abbreviatedStatement":"The primary focal areas in Grade 3 are place value, operations of whole numbers, and understanding fractional units. These focal areas are supported throughout the mathematical strands of number and operations, algebraic reasoning, geometry and measurement, and data analysis. In Grades 3-5, the number set is limited to positive rational numbers. In number and operations, students will focus on applying place value, comparing and ordering whole numbers, connecting multiplication and division, and understanding and representing fractions as numbers and equivalent fractions. In algebraic reasoning, students will use multiple representations of problem situations, determine missing values in number sentences, and represent real-world relationships using number pairs in a table and verbal descriptions. In geometry and measurement, students will identify and classify two-dimensional figures according to common attributes, decompose composite figures formed by rectangles to determine area, determine the perimeter of polygons, solve problems involving time, and measure liquid volume (capacity) or weight. In data analysis, students will represent and interpret data.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"cd0a5344-2261-533a-a910-e69f0d09e58c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscd0a5344-2261-533a-a910-e69f0d09e58c","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.5.a.5 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.5.a.5","listEnumeration":"203","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"e302ec23-42ee-5c8e-98dd-761a49cdbcd1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse302ec23-42ee-5c8e-98dd-761a49cdbcd1","fullStatement":"Knowledge and skills.","alternativeLabel":"111.5.b Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.5.b","listEnumeration":"204","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"ba243b77-ae00-5506-a4d8-7dfd91f9e9fc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsba243b77-ae00-5506-a4d8-7dfd91f9e9fc","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.5.b.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.5.b.1","listEnumeration":"205","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:09+00:00"},{"identifier":"62955fac-d39d-5c29-b990-505fef8556cd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems62955fac-d39d-5c29-b990-505fef8556cd","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.5.b.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.1.A","listEnumeration":"206","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"be69e232-181e-5bfe-82af-619463fe2c94","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbe69e232-181e-5bfe-82af-619463fe2c94","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.5.b.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.1.B","listEnumeration":"207","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"5f5ef01c-0701-5e5a-a66e-47506caf6e53","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5f5ef01c-0701-5e5a-a66e-47506caf6e53","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.5.b.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.1.C","listEnumeration":"208","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"cd56be68-eb77-51d5-9644-12e9c3e41a3c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscd56be68-eb77-51d5-9644-12e9c3e41a3c","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.5.b.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.1.D","listEnumeration":"209","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"81d819c4-66df-530e-be7c-eb05b53c4ee3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems81d819c4-66df-530e-be7c-eb05b53c4ee3","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.5.b.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.1.E","listEnumeration":"210","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"9a3e8355-ce8f-5989-b42c-b40414a12bb7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9a3e8355-ce8f-5989-b42c-b40414a12bb7","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.5.b.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.1.F","listEnumeration":"211","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"10ec172d-5150-5ce8-976f-3d85e8e201b5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems10ec172d-5150-5ce8-976f-3d85e8e201b5","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.5.b.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.1.G","listEnumeration":"212","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"66c9c1fa-9310-51b7-973e-03558ce96d01","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems66c9c1fa-9310-51b7-973e-03558ce96d01","fullStatement":"Number and operations. The student applies mathematical process standards to represent and compare whole numbers and understand relationships related to place value. The student is expected to:","alternativeLabel":"111.5.b.2 Number and operations. The student applies mathematical process standards to represent and compare whole numbers and understand relationships related to place value. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.5.b.2","listEnumeration":"213","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent and compare whole numbers and understand relationships related to place value. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"751fe580-67f6-5a4f-a454-f6fd2e26a3a0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems751fe580-67f6-5a4f-a454-f6fd2e26a3a0","fullStatement":"compose and decompose numbers up to 100,000 as a sum of so many ten thousands, so many thousands, so many hundreds, so many tens, and so many ones using objects, pictorial models, and numbers, including expanded notation as appropriate;","alternativeLabel":"111.5.b.2.A compose and decompose numbers up to 100,000 as a sum of so many ten thousands, so many thousands, so many hundreds, so many tens, and so many ones using objects, pictorial models, and numbers, including expanded notation as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.2.A","listEnumeration":"214","abbreviatedStatement":"compose and decompose numbers up to 100,000 as a sum of so many ten thousands, so many thousands, so many hundreds, so many tens, and so many ones using objects, pictorial models, and numbers, including expanded notation as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"32816a04-9317-5e55-bb12-82e426afa1d2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems32816a04-9317-5e55-bb12-82e426afa1d2","fullStatement":"describe the mathematical relationships found in the base-10 place value system through the hundred thousands place;","alternativeLabel":"111.5.b.2.B describe the mathematical relationships found in the base-10 place value system through the hundred thousands place;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.2.B","listEnumeration":"215","abbreviatedStatement":"describe the mathematical relationships found in the base-10 place value system through the hundred thousands place;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"8705b6d1-ebc4-5bef-8c14-0d7434102447","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8705b6d1-ebc4-5bef-8c14-0d7434102447","fullStatement":"represent a number on a number line as being between two consecutive multiples of 10; 100; 1,000; or 10,000 and use words to describe relative size of numbers in order to round whole numbers; and","alternativeLabel":"111.5.b.2.C represent a number on a number line as being between two consecutive multiples of 10; 100; 1,000; or 10,000 and use words to describe relative size of numbers in order to round whole numbers; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.2.C","listEnumeration":"216","abbreviatedStatement":"represent a number on a number line as being between two consecutive multiples of 10; 100; 1,000; or 10,000 and use words to describe relative size of numbers in order to round whole numbers; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"560acb8e-b862-5433-ab31-2830e2e5209d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems560acb8e-b862-5433-ab31-2830e2e5209d","fullStatement":"compare and order whole numbers up to 100,000 and represent comparisons using the symbols >, <, or =.","alternativeLabel":"111.5.b.2.D compare and order whole numbers up to 100,000 and represent comparisons using the symbols >, <, or =.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.2.D","listEnumeration":"217","abbreviatedStatement":"compare and order whole numbers up to 100,000 and represent comparisons using the symbols >, <, or =.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"d7f3fd27-a19f-55fc-a6c2-7aa43a3d65ff","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd7f3fd27-a19f-55fc-a6c2-7aa43a3d65ff","fullStatement":"Number and operations. The student applies mathematical process standards to represent and explain fractional units. The student is expected to:","alternativeLabel":"111.5.b.3 Number and operations. The student applies mathematical process standards to represent and explain fractional units. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.5.b.3","listEnumeration":"218","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent and explain fractional units. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"67751b11-1a87-578d-a1f4-fa959498e290","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems67751b11-1a87-578d-a1f4-fa959498e290","fullStatement":"represent fractions greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 using concrete objects and pictorial models, including strip diagrams and number lines;","alternativeLabel":"111.5.b.3.A represent fractions greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 using concrete objects and pictorial models, including strip diagrams and number lines;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.3.A","listEnumeration":"219","abbreviatedStatement":"represent fractions greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 using concrete objects and pictorial models, including strip diagrams and number lines;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"91e5ed00-0407-546d-b591-90409b24449e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems91e5ed00-0407-546d-b591-90409b24449e","fullStatement":"determine the corresponding fraction greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 given a specified point on a number line;","alternativeLabel":"111.5.b.3.B determine the corresponding fraction greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 given a specified point on a number line;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.3.B","listEnumeration":"220","abbreviatedStatement":"determine the corresponding fraction greater than zero and less than or equal to one with denominators of 2, 3, 4, 6, and 8 given a specified point on a number line;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"e2194206-0590-5a25-b5c4-e26b25741c80","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse2194206-0590-5a25-b5c4-e26b25741c80","fullStatement":"explain that the unit fraction $1/b$ represents the quantity formed by one part of a whole that has been partitioned into $b$ equal parts where $b$ is a non-zero whole number;","alternativeLabel":"111.5.b.3.C explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.3.C","listEnumeration":"221","abbreviatedStatement":"explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"54c51d6b-bd54-5a91-8ed2-afcf5ea49373","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems54c51d6b-bd54-5a91-8ed2-afcf5ea49373","fullStatement":"compose and decompose a fraction $a/b$ with a numerator greater than zero and less than or equal to b as a sum of parts $1/b$;","alternativeLabel":"111.5.b.3.D compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.3.D","listEnumeration":"222","abbreviatedStatement":"compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"6c8200a3-f38f-5e93-ba43-cbe250d1f2a1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6c8200a3-f38f-5e93-ba43-cbe250d1f2a1","fullStatement":"solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8;","alternativeLabel":"111.5.b.3.E solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.3.E","listEnumeration":"223","abbreviatedStatement":"solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators of 2, 3, 4, 6, and 8;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"64454b04-c823-5632-b259-61658c413aa4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems64454b04-c823-5632-b259-61658c413aa4","fullStatement":"represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines;","alternativeLabel":"111.5.b.3.F represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.3.F","listEnumeration":"224","abbreviatedStatement":"represent equivalent fractions with denominators of 2, 3, 4, 6, and 8 using a variety of objects and pictorial models, including number lines;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"822bcc18-7f7e-5f61-aa63-718063f7a574","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems822bcc18-7f7e-5f61-aa63-718063f7a574","fullStatement":"explain that two fractions are equivalent if and only if they are both represented by the same point on the number line or represent the same portion of a same size whole for an area model; and","alternativeLabel":"111.5.b.3.G explain that two fractions are equivalent if and only if they are both represented by the same point on the number line or represent the same portion of a same size whole for an area model; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.3.G","listEnumeration":"225","abbreviatedStatement":"explain that two fractions are equivalent if and only if they are both represented by the same point on the number line or represent the same portion of a same size whole for an area model; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"11789916-bd5b-5277-806c-16a984a2d5cd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems11789916-bd5b-5277-806c-16a984a2d5cd","fullStatement":"compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models.","alternativeLabel":"111.5.b.3.H compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.3.H","listEnumeration":"226","abbreviatedStatement":"compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"c745b886-f424-522a-9775-7b8ee933071b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc745b886-f424-522a-9775-7b8ee933071b","fullStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations in order to solve problems with efficiency and accuracy. The student is expected to:","alternativeLabel":"111.5.b.4 Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations in order to solve problems with efficiency and accuracy. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.5.b.4","listEnumeration":"227","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations in order to solve problems with efficiency and accuracy. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"19449fbf-f0d2-59ff-b873-efccb2500f84","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems19449fbf-f0d2-59ff-b873-efccb2500f84","fullStatement":"solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction;","alternativeLabel":"111.5.b.4.A solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.A","listEnumeration":"228","abbreviatedStatement":"solve with fluency one-step and two-step problems involving addition and subtraction within 1,000 using strategies based on place value, properties of operations, and the relationship between addition and subtraction;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"0fb1b291-154f-5199-a73e-74f3813dc46e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0fb1b291-154f-5199-a73e-74f3813dc46e","fullStatement":"round to the nearest 10 or 100 or use compatible numbers to estimate solutions to addition and subtraction problems;","alternativeLabel":"111.5.b.4.B round to the nearest 10 or 100 or use compatible numbers to estimate solutions to addition and subtraction problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.B","listEnumeration":"229","abbreviatedStatement":"round to the nearest 10 or 100 or use compatible numbers to estimate solutions to addition and subtraction problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"8444d3b5-2981-51ec-850d-080f07b324fe","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8444d3b5-2981-51ec-850d-080f07b324fe","fullStatement":"determine the value of a collection of coins and bills;","alternativeLabel":"111.5.b.4.C determine the value of a collection of coins and bills;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.C","listEnumeration":"230","abbreviatedStatement":"determine the value of a collection of coins and bills;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"103edd9b-250b-5877-91c3-3b8a2d898850","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems103edd9b-250b-5877-91c3-3b8a2d898850","fullStatement":"determine the total number of objects when equally-sized groups of objects are combined or arranged in arrays up to 10 by 10;","alternativeLabel":"111.5.b.4.D determine the total number of objects when equally-sized groups of objects are combined or arranged in arrays up to 10 by 10;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.D","listEnumeration":"231","abbreviatedStatement":"determine the total number of objects when equally-sized groups of objects are combined or arranged in arrays up to 10 by 10;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"0fcba0d8-46a6-5dac-83a9-1d51f9d43baf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0fcba0d8-46a6-5dac-83a9-1d51f9d43baf","fullStatement":"represent multiplication facts by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting;","alternativeLabel":"111.5.b.4.E represent multiplication facts by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.E","listEnumeration":"232","abbreviatedStatement":"represent multiplication facts by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"cd718147-a166-572f-a3e1-5cef8550056e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscd718147-a166-572f-a3e1-5cef8550056e","fullStatement":"recall facts to multiply up to 10 by 10 with automaticity and recall the corresponding division facts;","alternativeLabel":"111.5.b.4.F recall facts to multiply up to 10 by 10 with automaticity and recall the corresponding division facts;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.F","listEnumeration":"233","abbreviatedStatement":"recall facts to multiply up to 10 by 10 with automaticity and recall the corresponding division facts;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:10+00:00"},{"identifier":"1dcfb471-b136-5fc4-8d00-46f2d5fc181d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1dcfb471-b136-5fc4-8d00-46f2d5fc181d","fullStatement":"use strategies and algorithms, including the standard algorithm, to multiply a two-digit number by a one-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties;","alternativeLabel":"111.5.b.4.G use strategies and algorithms, including the standard algorithm, to multiply a two-digit number by a one-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.G","listEnumeration":"234","abbreviatedStatement":"use strategies and algorithms, including the standard algorithm, to multiply a two-digit number by a one-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"f60980a3-d669-57de-bfc9-c8a89e3b77d8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf60980a3-d669-57de-bfc9-c8a89e3b77d8","fullStatement":"determine the number of objects in each group when a set of objects is partitioned into equal shares or a set of objects is shared equally;","alternativeLabel":"111.5.b.4.H determine the number of objects in each group when a set of objects is partitioned into equal shares or a set of objects is shared equally;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.H","listEnumeration":"235","abbreviatedStatement":"determine the number of objects in each group when a set of objects is partitioned into equal shares or a set of objects is shared equally;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"552eb97d-22a7-5365-97c3-ccb947f9098a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems552eb97d-22a7-5365-97c3-ccb947f9098a","fullStatement":"determine if a number is even or odd using divisibility rules;","alternativeLabel":"111.5.b.4.I determine if a number is even or odd using divisibility rules;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.I","listEnumeration":"236","abbreviatedStatement":"determine if a number is even or odd using divisibility rules;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"8ffb3949-ed12-572b-9700-d26823c390f0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8ffb3949-ed12-572b-9700-d26823c390f0","fullStatement":"determine a quotient using the relationship between multiplication and division; and","alternativeLabel":"111.5.b.4.J determine a quotient using the relationship between multiplication and division; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.J","listEnumeration":"237","abbreviatedStatement":"determine a quotient using the relationship between multiplication and division; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"7c7d53b7-e8b9-56bf-9b79-7f13acd321f0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7c7d53b7-e8b9-56bf-9b79-7f13acd321f0","fullStatement":"solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts.","alternativeLabel":"111.5.b.4.K solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.4.K","listEnumeration":"238","abbreviatedStatement":"solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"de11c3da-2c11-5b9f-8c07-ca3793ea8a90","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsde11c3da-2c11-5b9f-8c07-ca3793ea8a90","fullStatement":"Algebraic reasoning. The student applies mathematical process standards to analyze and create patterns and relationships. The student is expected to:","alternativeLabel":"111.5.b.5 Algebraic reasoning. The student applies mathematical process standards to analyze and create patterns and relationships. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.5.b.5","listEnumeration":"239","abbreviatedStatement":"Algebraic reasoning. The student applies mathematical process standards to analyze and create patterns and relationships. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"00b56a81-e221-5ad0-9643-23619d2906c3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems00b56a81-e221-5ad0-9643-23619d2906c3","fullStatement":"represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, number lines, and equations;","alternativeLabel":"111.5.b.5.A represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, number lines, and equations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.5.A","listEnumeration":"240","abbreviatedStatement":"represent one- and two-step problems involving addition and subtraction of whole numbers to 1,000 using pictorial models, number lines, and equations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"26a6e91b-f93e-5809-9b4e-7dc35ddd89ec","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems26a6e91b-f93e-5809-9b4e-7dc35ddd89ec","fullStatement":"represent and solve one- and two-step multiplication and division problems within 100 using arrays, strip diagrams, and equations;","alternativeLabel":"111.5.b.5.B represent and solve one- and two-step multiplication and division problems within 100 using arrays, strip diagrams, and equations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.5.B","listEnumeration":"241","abbreviatedStatement":"represent and solve one- and two-step multiplication and division problems within 100 using arrays, strip diagrams, and equations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"7c7690a3-5864-587c-91e6-89a8e4634f20","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7c7690a3-5864-587c-91e6-89a8e4634f20","fullStatement":"describe a multiplication expression as a comparison such as 3 x 24 represents 3 times as much as 24;","alternativeLabel":"111.5.b.5.C describe a multiplication expression as a comparison such as 3 x 24 represents 3 times as much as 24;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.5.C","listEnumeration":"242","abbreviatedStatement":"describe a multiplication expression as a comparison such as 3 x 24 represents 3 times as much as 24;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"3fe912f6-7a54-505a-a191-5995600631f4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3fe912f6-7a54-505a-a191-5995600631f4","fullStatement":"determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is either a missing factor or product; and","alternativeLabel":"111.5.b.5.D determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is either a missing factor or product; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.5.D","listEnumeration":"243","abbreviatedStatement":"determine the unknown whole number in a multiplication or division equation relating three whole numbers when the unknown is either a missing factor or product; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"e5cc4150-ec69-53ba-94c4-d67b0c47493f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse5cc4150-ec69-53ba-94c4-d67b0c47493f","fullStatement":"represent real-world relationships using number pairs in a table and verbal descriptions.","alternativeLabel":"111.5.b.5.E represent real-world relationships using number pairs in a table and verbal descriptions.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.5.E","listEnumeration":"244","abbreviatedStatement":"represent real-world relationships using number pairs in a table and verbal descriptions.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"0e446a2c-11e2-5675-82a9-f964b450acbd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0e446a2c-11e2-5675-82a9-f964b450acbd","fullStatement":"Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional geometric figures to develop generalizations about their properties. The student is expected to:","alternativeLabel":"111.5.b.6 Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional geometric figures to develop generalizations about their properties. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.5.b.6","listEnumeration":"245","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to analyze attributes of two-dimensional geometric figures to develop generalizations about their properties. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"a53255bd-3a29-5f1b-8b06-8655544c223e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa53255bd-3a29-5f1b-8b06-8655544c223e","fullStatement":"classify and sort two- and three-dimensional figures, including cones, cylinders, spheres, triangular and rectangular prisms, and cubes, based on attributes using formal geometric language;","alternativeLabel":"111.5.b.6.A classify and sort two- and three-dimensional figures, including cones, cylinders, spheres, triangular and rectangular prisms, and cubes, based on attributes using formal geometric language;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.6.A","listEnumeration":"246","abbreviatedStatement":"classify and sort two- and three-dimensional figures, including cones, cylinders, spheres, triangular and rectangular prisms, and cubes, based on attributes using formal geometric language;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"8e5d0828-8454-5cdd-b5bd-2573f2c81f0c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8e5d0828-8454-5cdd-b5bd-2573f2c81f0c","fullStatement":"use attributes to recognize rhombuses, parallelograms, trapezoids, rectangles, and squares as examples of quadrilaterals and draw examples of quadrilaterals that do not belong to any of these subcategories;","alternativeLabel":"111.5.b.6.B use attributes to recognize rhombuses, parallelograms, trapezoids, rectangles, and squares as examples of quadrilaterals and draw examples of quadrilaterals that do not belong to any of these subcategories;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.6.B","listEnumeration":"247","abbreviatedStatement":"use attributes to recognize rhombuses, parallelograms, trapezoids, rectangles, and squares as examples of quadrilaterals and draw examples of quadrilaterals that do not belong to any of these subcategories;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"40f3d247-0d5a-56d2-8ea6-98bee071d6de","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems40f3d247-0d5a-56d2-8ea6-98bee071d6de","fullStatement":"determine the area of rectangles with whole number side lengths in problems using multiplication related to the number of rows times the number of unit squares in each row;","alternativeLabel":"111.5.b.6.C determine the area of rectangles with whole number side lengths in problems using multiplication related to the number of rows times the number of unit squares in each row;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.6.C","listEnumeration":"248","abbreviatedStatement":"determine the area of rectangles with whole number side lengths in problems using multiplication related to the number of rows times the number of unit squares in each row;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:12+00:00"},{"identifier":"40cb0ffb-8e37-5549-8d92-6998488d0bfe","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems40cb0ffb-8e37-5549-8d92-6998488d0bfe","fullStatement":"decompose composite figures formed by rectangles into non-overlapping rectangles to determine the area of the original figure using the additive property of area; and","alternativeLabel":"111.5.b.6.D decompose composite figures formed by rectangles into non-overlapping rectangles to determine the area of the original figure using the additive property of area; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.6.D","listEnumeration":"249","abbreviatedStatement":"decompose composite figures formed by rectangles into non-overlapping rectangles to determine the area of the original figure using the additive property of area; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"70c2fb88-dd3a-53a6-a147-597bb6a6bdde","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems70c2fb88-dd3a-53a6-a147-597bb6a6bdde","fullStatement":"decompose two congruent two-dimensional figures into parts with equal areas and express the area of each part as a unit fraction of the whole and recognize that equal shares of identical wholes need not have the same shape.","alternativeLabel":"111.5.b.6.E decompose two congruent two-dimensional figures into parts with equal areas and express the area of each part as a unit fraction of the whole and recognize that equal shares of identical wholes need not have the same shape.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.6.E","listEnumeration":"250","abbreviatedStatement":"decompose two congruent two-dimensional figures into parts with equal areas and express the area of each part as a unit fraction of the whole and recognize that equal shares of identical wholes need not have the same shape.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"215c894d-3d3c-5a6d-98f1-8369b23fded2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems215c894d-3d3c-5a6d-98f1-8369b23fded2","fullStatement":"Geometry and measurement. The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving customary and metric measurement. The student is expected to:","alternativeLabel":"111.5.b.7 Geometry and measurement. The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving customary and metric measurement. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.5.b.7","listEnumeration":"251","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving customary and metric measurement. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"46a4410f-ac70-56b7-8968-9d50426c9135","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems46a4410f-ac70-56b7-8968-9d50426c9135","fullStatement":"represent fractions of halves, fourths, and eighths as distances from zero on a number line;","alternativeLabel":"111.5.b.7.A represent fractions of halves, fourths, and eighths as distances from zero on a number line;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.7.A","listEnumeration":"252","abbreviatedStatement":"represent fractions of halves, fourths, and eighths as distances from zero on a number line;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"b1bf66cb-8cf6-5475-abb5-fb9376418b39","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb1bf66cb-8cf6-5475-abb5-fb9376418b39","fullStatement":"determine the perimeter of a polygon or a missing length when given perimeter and remaining side lengths in problems;","alternativeLabel":"111.5.b.7.B determine the perimeter of a polygon or a missing length when given perimeter and remaining side lengths in problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.7.B","listEnumeration":"253","abbreviatedStatement":"determine the perimeter of a polygon or a missing length when given perimeter and remaining side lengths in problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"c7faa066-4afb-5b20-a985-a0212510aa12","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc7faa066-4afb-5b20-a985-a0212510aa12","fullStatement":"determine the solutions to problems involving addition and subtraction of time intervals in minutes using pictorial models or tools such as a 15-minute event plus a 30-minute event equals 45 minutes;","alternativeLabel":"111.5.b.7.C determine the solutions to problems involving addition and subtraction of time intervals in minutes using pictorial models or tools such as a 15-minute event plus a 30-minute event equals 45 minutes;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.7.C","listEnumeration":"254","abbreviatedStatement":"determine the solutions to problems involving addition and subtraction of time intervals in minutes using pictorial models or tools such as a 15-minute event plus a 30-minute event equals 45 minutes;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"0e30a313-2283-5cd9-8dc4-aeda55743acd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0e30a313-2283-5cd9-8dc4-aeda55743acd","fullStatement":"determine when it is appropriate to use measurements of liquid volume (capacity) or weight; and","alternativeLabel":"111.5.b.7.D determine when it is appropriate to use measurements of liquid volume (capacity) or weight; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.7.D","listEnumeration":"255","abbreviatedStatement":"determine when it is appropriate to use measurements of liquid volume (capacity) or weight; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"95994d98-2973-5e6c-be95-1cb7f3280bc2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems95994d98-2973-5e6c-be95-1cb7f3280bc2","fullStatement":"determine liquid volume (capacity) or weight using appropriate units and tools.","alternativeLabel":"111.5.b.7.E determine liquid volume (capacity) or weight using appropriate units and tools.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.7.E","listEnumeration":"256","abbreviatedStatement":"determine liquid volume (capacity) or weight using appropriate units and tools.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"212020c0-b5cf-502c-a198-18b3fc86d3a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems212020c0-b5cf-502c-a198-18b3fc86d3a4","fullStatement":"Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:","alternativeLabel":"111.5.b.8 Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.5.b.8","listEnumeration":"257","abbreviatedStatement":"Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"000396a9-39e7-54e7-b12b-b67d5f08221d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems000396a9-39e7-54e7-b12b-b67d5f08221d","fullStatement":"summarize a data set with multiple categories using a frequency table, dot plot, pictograph, or bar graph with scaled intervals; and","alternativeLabel":"111.5.b.8.A summarize a data set with multiple categories using a frequency table, dot plot, pictograph, or bar graph with scaled intervals; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.8.A","listEnumeration":"258","abbreviatedStatement":"summarize a data set with multiple categories using a frequency table, dot plot, pictograph, or bar graph with scaled intervals; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"bf2c3d9d-c4e4-565e-b609-6b71c565f544","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbf2c3d9d-c4e4-565e-b609-6b71c565f544","fullStatement":"solve one- and two-step problems using categorical data represented with a frequency table, dot plot, pictograph, or bar graph with scaled intervals.","alternativeLabel":"111.5.b.8.B solve one- and two-step problems using categorical data represented with a frequency table, dot plot, pictograph, or bar graph with scaled intervals.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.8.B","listEnumeration":"259","abbreviatedStatement":"solve one- and two-step problems using categorical data represented with a frequency table, dot plot, pictograph, or bar graph with scaled intervals.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"b5ea2ef8-2794-51ef-a283-c1c011127840","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb5ea2ef8-2794-51ef-a283-c1c011127840","fullStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","alternativeLabel":"111.5.b.9 Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.5.b.9","listEnumeration":"260","abbreviatedStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"babacaf7-5b8b-53c2-9a44-9c06226c47c7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbabacaf7-5b8b-53c2-9a44-9c06226c47c7","fullStatement":"explain the connection between human capital/labor and income;","alternativeLabel":"111.5.b.9.A explain the connection between human capital/labor and income;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.9.A","listEnumeration":"261","abbreviatedStatement":"explain the connection between human capital/labor and income;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"80f075ff-bb13-5c6c-89fa-2c7bb5c72fc1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems80f075ff-bb13-5c6c-89fa-2c7bb5c72fc1","fullStatement":"describe the relationship between the availability or scarcity of resources and how that impacts cost;","alternativeLabel":"111.5.b.9.B describe the relationship between the availability or scarcity of resources and how that impacts cost;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.9.B","listEnumeration":"262","abbreviatedStatement":"describe the relationship between the availability or scarcity of resources and how that impacts cost;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"2deda098-08de-505f-a63a-0a6416db85fb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2deda098-08de-505f-a63a-0a6416db85fb","fullStatement":"identify the costs and benefits of planned and unplanned spending decisions;","alternativeLabel":"111.5.b.9.C identify the costs and benefits of planned and unplanned spending decisions;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.9.C","listEnumeration":"263","abbreviatedStatement":"identify the costs and benefits of planned and unplanned spending decisions;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:13+00:00"},{"identifier":"74775a1c-78ec-5461-9c42-42bc65ef7759","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems74775a1c-78ec-5461-9c42-42bc65ef7759","fullStatement":"explain that credit is used when wants or needs exceed the ability to pay and that it is the borrower's responsibility to pay it back to the lender, usually with interest;","alternativeLabel":"111.5.b.9.D explain that credit is used when wants or needs exceed the ability to pay and that it is the borrower's responsibility to pay it back to the lender, usually with interest;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.9.D","listEnumeration":"264","abbreviatedStatement":"explain that credit is used when wants or needs exceed the ability to pay and that it is the borrower's responsibility to pay it back to the lender, usually with interest;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"a6e88cc4-f638-521f-a2d1-8bb2abbba096","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa6e88cc4-f638-521f-a2d1-8bb2abbba096","fullStatement":"list reasons to save and explain the benefit of a savings plan, including for college; and","alternativeLabel":"111.5.b.9.E list reasons to save and explain the benefit of a savings plan, including for college; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.9.E","listEnumeration":"265","abbreviatedStatement":"list reasons to save and explain the benefit of a savings plan, including for college; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"96fffaf2-544a-5a0e-9f4f-6a045d3b69af","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems96fffaf2-544a-5a0e-9f4f-6a045d3b69af","fullStatement":"identify decisions involving income, spending, saving, credit, and charitable giving.","alternativeLabel":"111.5.b.9.F identify decisions involving income, spending, saving, credit, and charitable giving.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.5.b.9.F","listEnumeration":"266","abbreviatedStatement":"identify decisions involving income, spending, saving, credit, and charitable giving.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"e8f53656-ceca-5ae9-84b8-4e26a148762f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse8f53656-ceca-5ae9-84b8-4e26a148762f","fullStatement":"Grade 4, Adopted 2012.","alternativeLabel":"111.6 Grade 4, Adopted 2012.","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.6","listEnumeration":"267","abbreviatedStatement":"Grade 4, Adopted 2012.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"c68cdea5-d66d-59c3-af55-9da01dc16006","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc68cdea5-d66d-59c3-af55-9da01dc16006","fullStatement":"Introduction.","alternativeLabel":"111.6.a Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.6.a","listEnumeration":"268","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"5f510a1e-8d4a-526c-9891-b0f1d8f32173","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5f510a1e-8d4a-526c-9891-b0f1d8f32173","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.6.a.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while foc","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.6.a.1","listEnumeration":"269","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"ff3e04c3-96ed-5c8b-b59e-418b67c020bf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsff3e04c3-96ed-5c8b-b59e-418b67c020bf","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.6.a.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standar","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.6.a.2","listEnumeration":"270","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"3a02c0ec-bd6d-5d62-a070-c0d3f5112345","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3a02c0ec-bd6d-5d62-a070-c0d3f5112345","fullStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 4 are expected to perform their work without the use of calculators.","alternativeLabel":"111.6.a.3 For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficient","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.6.a.3","listEnumeration":"271","abbreviatedStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 4 are expected to perform their work without the use of calculators.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"b6242b85-e61b-5d51-b67f-0598a21ff563","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb6242b85-e61b-5d51-b67f-0598a21ff563","fullStatement":"The primary focal areas in Grade 4 are use of operations, fractions, and decimals and describing and analyzing geometry and measurement. These focal areas are supported throughout the mathematical strands of number and operations, algebraic reasoning, geometry and measurement, and data analysis. In Grades 3-5, the number set is limited to positive rational numbers. In number and operations, students will apply place value and represent points on a number line that correspond to a given fraction or terminating decimal. In algebraic reasoning, students will represent and solve multi-step problems involving the four operations with whole numbers with expressions and equations and generate and analyze patterns. In geometry and measurement, students will classify two-dimensional figures, measure angles, and convert units of measure. In data analysis, students will represent and interpret data.","alternativeLabel":"111.6.a.4 The primary focal areas in Grade 4 are use of operations, fractions, and decimals and describing and analyzing geometry and measurement. These focal areas are supported throughout the mathematical strands of number and operations, algebraic reas","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.6.a.4","listEnumeration":"272","abbreviatedStatement":"The primary focal areas in Grade 4 are use of operations, fractions, and decimals and describing and analyzing geometry and measurement. These focal areas are supported throughout the mathematical strands of number and operations, algebraic reasoning, geometry and measurement, and data analysis. In Grades 3-5, the number set is limited to positive rational numbers. In number and operations, students will apply place value and represent points on a number line that correspond to a given fraction or terminating decimal. In algebraic reasoning, students will represent and solve multi-step problems involving the four operations with whole numbers with expressions and equations and generate and analyze patterns. In geometry and measurement, students will classify two-dimensional figures, measure angles, and convert units of measure. In data analysis, students will represent and interpret data.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"09402b49-2502-5929-b648-8aee68b286c8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems09402b49-2502-5929-b648-8aee68b286c8","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.6.a.5 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.6.a.5","listEnumeration":"273","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"8e3bf330-61d1-5f35-b1da-d252c4abd2ae","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8e3bf330-61d1-5f35-b1da-d252c4abd2ae","fullStatement":"Knowledge and skills.","alternativeLabel":"111.6.b Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.6.b","listEnumeration":"274","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"177da039-a7ba-5af3-9261-3a52fd068f50","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems177da039-a7ba-5af3-9261-3a52fd068f50","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.6.b.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.1","listEnumeration":"275","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"7defdf2d-cc22-5cad-8655-adbe519cf6e7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7defdf2d-cc22-5cad-8655-adbe519cf6e7","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.6.b.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.1.A","listEnumeration":"276","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"1161b2a4-7a05-5e17-893f-505cdaac0c5f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1161b2a4-7a05-5e17-893f-505cdaac0c5f","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.6.b.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.1.B","listEnumeration":"277","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"cfe41dfb-3134-51d1-bf06-205d15b99f71","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscfe41dfb-3134-51d1-bf06-205d15b99f71","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.6.b.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.1.C","listEnumeration":"278","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"dfe01142-950c-5272-9471-c458c359b5ff","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdfe01142-950c-5272-9471-c458c359b5ff","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.6.b.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student 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Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.1.F","listEnumeration":"281","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"9600d0e5-a511-5ed8-a14b-163ef6193333","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9600d0e5-a511-5ed8-a14b-163ef6193333","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.6.b.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.1.G","listEnumeration":"282","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"588393db-3a1e-5566-9afc-5b4a04a2bc2c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems588393db-3a1e-5566-9afc-5b4a04a2bc2c","fullStatement":"Number and operations. The student applies mathematical process standards to represent, compare, and order whole numbers and decimals and understand relationships related to place value. The student is expected to:","alternativeLabel":"111.6.b.2 Number and operations. The student applies mathematical process standards to represent, compare, and order whole numbers and decimals and understand relationships related to place value. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.2","listEnumeration":"283","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent, compare, and order whole numbers and decimals and understand relationships related to place value. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"3a214cd7-8f00-5b68-b4c3-a9f186ff8038","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3a214cd7-8f00-5b68-b4c3-a9f186ff8038","fullStatement":"interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left;","alternativeLabel":"111.6.b.2.A interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.2.A","listEnumeration":"284","abbreviatedStatement":"interpret the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"61f4b5d7-d78d-52d4-925e-4777c49f7129","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems61f4b5d7-d78d-52d4-925e-4777c49f7129","fullStatement":"represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals;","alternativeLabel":"111.6.b.2.B represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.2.B","listEnumeration":"285","abbreviatedStatement":"represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"152e82c6-4036-5c3a-86d6-b8cd94fd3ede","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems152e82c6-4036-5c3a-86d6-b8cd94fd3ede","fullStatement":"compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =;","alternativeLabel":"111.6.b.2.C compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.2.C","listEnumeration":"286","abbreviatedStatement":"compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"fd8aed8e-aca5-5738-b7c4-0627be6833fa","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfd8aed8e-aca5-5738-b7c4-0627be6833fa","fullStatement":"round whole numbers to a given place value through the hundred thousands place;","alternativeLabel":"111.6.b.2.D round whole numbers to a given place value through the hundred thousands place;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.2.D","listEnumeration":"287","abbreviatedStatement":"round whole numbers to a given place value through the hundred thousands place;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"00713ea0-3868-57e2-90c6-8bf260c32f8b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems00713ea0-3868-57e2-90c6-8bf260c32f8b","fullStatement":"represent decimals, including tenths and hundredths, using concrete and visual models and money;","alternativeLabel":"111.6.b.2.E represent decimals, including tenths and hundredths, using concrete and visual models and money;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.2.E","listEnumeration":"288","abbreviatedStatement":"represent decimals, including tenths and hundredths, using concrete and visual models and money;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"d6dd5b14-4ee6-57b0-b89c-9760083cc9e2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd6dd5b14-4ee6-57b0-b89c-9760083cc9e2","fullStatement":"compare and order decimals using concrete and visual models to the hundredths;","alternativeLabel":"111.6.b.2.F compare and order decimals using concrete and visual models to the hundredths;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.2.F","listEnumeration":"289","abbreviatedStatement":"compare and order decimals using concrete and visual models to the hundredths;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"fb17bf67-f0aa-5f4c-9cdf-cb843be0b938","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfb17bf67-f0aa-5f4c-9cdf-cb843be0b938","fullStatement":"relate decimals to fractions that name tenths and hundredths; and","alternativeLabel":"111.6.b.2.G relate decimals to fractions that name tenths and hundredths; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.2.G","listEnumeration":"290","abbreviatedStatement":"relate decimals to fractions that name tenths and hundredths; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:14+00:00"},{"identifier":"2d62d4f9-6aac-546f-9ede-8396a4f73362","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2d62d4f9-6aac-546f-9ede-8396a4f73362","fullStatement":"determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line.","alternativeLabel":"111.6.b.2.H determine the corresponding decimal to the tenths or hundredths place of a specified point on a number line.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student 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The student applies mathematical process standards to represent and generate fractions to solve problems. The student is expected to:","alternativeLabel":"111.6.b.3 Number and operations. The student applies mathematical process standards to represent and generate fractions to solve problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.3","listEnumeration":"292","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent and generate fractions to solve problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"dc7dd8a8-e14f-5bad-a023-f10d921b9b61","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdc7dd8a8-e14f-5bad-a023-f10d921b9b61","fullStatement":"represent a fraction $a/b$ as a sum of fractions $1/b$, where $a$ and $b$ are whole numbers and $b>0$, including when $a>b$;","alternativeLabel":"111.6.b.3.A represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b>0, including when a>b;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.3.A","listEnumeration":"293","abbreviatedStatement":"represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b>0, including when a>b;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"5dabbc95-bfc1-5d44-a6c3-08d4031dc040","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5dabbc95-bfc1-5d44-a6c3-08d4031dc040","fullStatement":"decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations;","alternativeLabel":"111.6.b.3.B decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.3.B","listEnumeration":"294","abbreviatedStatement":"decompose a fraction in more than one way into a sum of fractions with the same denominator using concrete and pictorial models and recording results with symbolic representations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"a16b3238-14a2-54a4-a3aa-afb0263f09f2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa16b3238-14a2-54a4-a3aa-afb0263f09f2","fullStatement":"determine if two given fractions are equivalent using a variety of methods;","alternativeLabel":"111.6.b.3.C determine if two given fractions are equivalent using a variety of methods;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.3.C","listEnumeration":"295","abbreviatedStatement":"determine if two given fractions are equivalent using a variety of methods;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"ba111683-5a30-54a3-b79a-b9526467c525","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsba111683-5a30-54a3-b79a-b9526467c525","fullStatement":"compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <;","alternativeLabel":"111.6.b.3.D compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.3.D","listEnumeration":"296","abbreviatedStatement":"compare two fractions with different numerators and different denominators and represent the comparison using the symbols >, =, or <;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"f4e296fb-de37-5619-8942-04680c96454d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf4e296fb-de37-5619-8942-04680c96454d","fullStatement":"represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations;","alternativeLabel":"111.6.b.3.E represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.3.E","listEnumeration":"297","abbreviatedStatement":"represent and solve addition and subtraction of fractions with equal denominators using objects and pictorial models that build to the number line and properties of operations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"adff04ac-3ad2-58ad-9133-6405422fac58","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsadff04ac-3ad2-58ad-9133-6405422fac58","fullStatement":"evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole; and","alternativeLabel":"111.6.b.3.F evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.3.F","listEnumeration":"298","abbreviatedStatement":"evaluate the reasonableness of sums and differences of fractions using benchmark fractions 0, 1/4, 1/2, 3/4, and 1, referring to the same whole; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"a27fab71-5055-56d4-9b4d-94b0574dde97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa27fab71-5055-56d4-9b4d-94b0574dde97","fullStatement":"represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.","alternativeLabel":"111.6.b.3.G represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.3.G","listEnumeration":"299","abbreviatedStatement":"represent fractions and decimals to the tenths or hundredths as distances from zero on a number line.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"eac991c4-6bab-5eec-8ed9-dc00ab178e1e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemseac991c4-6bab-5eec-8ed9-dc00ab178e1e","fullStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations and decimal sums and differences in order to solve problems with efficiency and accuracy. The student is expected to:","alternativeLabel":"111.6.b.4 Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations and decimal sums and differences in order to solve problems with efficiency and accuracy. The stude","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.4","listEnumeration":"300","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations and decimal sums and differences in order to solve problems with efficiency and accuracy. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"a5522269-6421-50ab-a1d3-8ebf028c6f8e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa5522269-6421-50ab-a1d3-8ebf028c6f8e","fullStatement":"add and subtract whole numbers and decimals to the hundredths place using the standard algorithm;","alternativeLabel":"111.6.b.4.A add and subtract whole numbers and decimals to the hundredths place using the standard algorithm;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.4.A","listEnumeration":"301","abbreviatedStatement":"add and subtract whole numbers and decimals to the hundredths place using the standard algorithm;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"b8df06be-6aba-50b8-b1d1-1d7d648607f4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb8df06be-6aba-50b8-b1d1-1d7d648607f4","fullStatement":"determine products of a number and 10 or 100 using properties of operations and place value understandings;","alternativeLabel":"111.6.b.4.B determine products of a number and 10 or 100 using properties of operations and place value understandings;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.4.B","listEnumeration":"302","abbreviatedStatement":"determine products of a number and 10 or 100 using properties of operations and place value understandings;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"9eab5340-f2c6-5b79-a4da-c1412cc7aa63","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9eab5340-f2c6-5b79-a4da-c1412cc7aa63","fullStatement":"represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15;","alternativeLabel":"111.6.b.4.C represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.4.C","listEnumeration":"303","abbreviatedStatement":"represent the product of 2 two-digit numbers using arrays, area models, or equations, including perfect squares through 15 by 15;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"a7c53fff-77f1-54e4-9836-8b067db08eca","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa7c53fff-77f1-54e4-9836-8b067db08eca","fullStatement":"use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties;","alternativeLabel":"111.6.b.4.D use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and th","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.4.D","listEnumeration":"304","abbreviatedStatement":"use strategies and algorithms, including the standard algorithm, to multiply up to a four-digit number by a one-digit number and to multiply a two-digit number by a two-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"250278d6-1253-5f8b-8f5b-eda378ae099b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems250278d6-1253-5f8b-8f5b-eda378ae099b","fullStatement":"represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations;","alternativeLabel":"111.6.b.4.E represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.4.E","listEnumeration":"305","abbreviatedStatement":"represent the quotient of up to a four-digit whole number divided by a one-digit whole number using arrays, area models, or equations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"9f6d01d7-704b-5172-b815-ce46564586e6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9f6d01d7-704b-5172-b815-ce46564586e6","fullStatement":"use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor;","alternativeLabel":"111.6.b.4.F use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.4.F","listEnumeration":"306","abbreviatedStatement":"use strategies and algorithms, including the standard algorithm, to divide up to a four-digit dividend by a one-digit divisor;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"68e1537e-9806-52e7-a2bb-a965603cae58","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems68e1537e-9806-52e7-a2bb-a965603cae58","fullStatement":"round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers; and","alternativeLabel":"111.6.b.4.G round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.4.G","listEnumeration":"307","abbreviatedStatement":"round to the nearest 10, 100, or 1,000 or use compatible numbers to estimate solutions involving whole numbers; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"d338f757-bc22-5a94-b717-ed4cb5e93581","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd338f757-bc22-5a94-b717-ed4cb5e93581","fullStatement":"solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.","alternativeLabel":"111.6.b.4.H solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.4.H","listEnumeration":"308","abbreviatedStatement":"solve with fluency one- and two-step problems involving multiplication and division, including interpreting remainders.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"42def495-9ac0-56c8-a107-e683cf8e27e3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems42def495-9ac0-56c8-a107-e683cf8e27e3","fullStatement":"Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:","alternativeLabel":"111.6.b.5 Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.5","listEnumeration":"309","abbreviatedStatement":"Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"24a51b02-dad0-5ef0-9b79-a04f451c0230","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems24a51b02-dad0-5ef0-9b79-a04f451c0230","fullStatement":"represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity;","alternativeLabel":"111.6.b.5.A represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.5.A","listEnumeration":"310","abbreviatedStatement":"represent multi-step problems involving the four operations with whole numbers using strip diagrams and equations with a letter standing for the unknown quantity;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"3369c7c9-ee85-553c-8c5e-8af6e40c5eb5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3369c7c9-ee85-553c-8c5e-8af6e40c5eb5","fullStatement":"represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence;","alternativeLabel":"111.6.b.5.B represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.5.B","listEnumeration":"311","abbreviatedStatement":"represent problems using an input-output table and numerical expressions to generate a number pattern that follows a given rule representing the relationship of the values in the resulting sequence and their position in the sequence;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"e84a3151-9db0-54bb-8d20-8568203d6c6c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse84a3151-9db0-54bb-8d20-8568203d6c6c","fullStatement":"use models to determine the formulas for the perimeter of a rectangle ($l + w + l + w$ or $2l + 2w$), including the special form for perimeter of a square ($4s$) and the area of a rectangle ($l \\times w$); and","alternativeLabel":"111.6.b.5.C use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l x w); and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.5.C","listEnumeration":"312","abbreviatedStatement":"use models to determine the formulas for the perimeter of a rectangle (l + w + l + w or 2l + 2w), including the special form for perimeter of a square (4s) and the area of a rectangle (l x w); and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"d7c3c1ba-c581-58b8-82a2-b6a86538ae6e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd7c3c1ba-c581-58b8-82a2-b6a86538ae6e","fullStatement":"solve problems related to perimeter and area of rectangles where dimensions are whole numbers.","alternativeLabel":"111.6.b.5.D solve problems related to perimeter and area of rectangles where dimensions are whole numbers.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.5.D","listEnumeration":"313","abbreviatedStatement":"solve problems related to perimeter and area of rectangles where dimensions are whole numbers.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"9e606166-2d3c-5640-a582-aa5790e278b0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9e606166-2d3c-5640-a582-aa5790e278b0","fullStatement":"Geometry and measurement. The student applies mathematical process standards to analyze geometric attributes in order to develop generalizations about their properties. The student is expected to:","alternativeLabel":"111.6.b.6 Geometry and measurement. The student applies mathematical process standards to analyze geometric attributes in order to develop generalizations about their properties. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.6","listEnumeration":"314","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to analyze geometric attributes in order to develop generalizations about their properties. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"123f3c76-01e0-5b06-b5be-4c6509c90c55","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems123f3c76-01e0-5b06-b5be-4c6509c90c55","fullStatement":"identify points, lines, line segments, rays, angles, and perpendicular and parallel lines;","alternativeLabel":"111.6.b.6.A identify points, lines, line segments, rays, angles, and perpendicular and parallel lines;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.6.A","listEnumeration":"315","abbreviatedStatement":"identify points, lines, line segments, rays, angles, and perpendicular and parallel lines;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"8c345c42-9a05-54ab-883e-3f281c2e6d68","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8c345c42-9a05-54ab-883e-3f281c2e6d68","fullStatement":"identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure;","alternativeLabel":"111.6.b.6.B identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.6.B","listEnumeration":"316","abbreviatedStatement":"identify and draw one or more lines of symmetry, if they exist, for a two-dimensional figure;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:15+00:00"},{"identifier":"b5352ee9-3465-51c2-b72b-898f18e8bd15","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb5352ee9-3465-51c2-b72b-898f18e8bd15","fullStatement":"apply knowledge of right angles to identify acute, right, and obtuse triangles; and","alternativeLabel":"111.6.b.6.C apply knowledge of right angles to identify acute, right, and obtuse triangles; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.6.C","listEnumeration":"317","abbreviatedStatement":"apply knowledge of right angles to identify acute, right, and obtuse triangles; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"ae3d4c44-90bb-5f10-acf0-e9a9020b367b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsae3d4c44-90bb-5f10-acf0-e9a9020b367b","fullStatement":"classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.","alternativeLabel":"111.6.b.6.D classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.6.D","listEnumeration":"318","abbreviatedStatement":"classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines or the presence or absence of angles of a specified size.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"1c6e2256-485d-5e20-b967-e2aac851648b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1c6e2256-485d-5e20-b967-e2aac851648b","fullStatement":"Geometry and measurement. The student applies mathematical process standards to solve problems involving angles less than or equal to 180 degrees. The student is expected to:","alternativeLabel":"111.6.b.7 Geometry and measurement. The student applies mathematical process standards to solve problems involving angles less than or equal to 180 degrees. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.7","listEnumeration":"319","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to solve problems involving angles less than or equal to 180 degrees. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"dbfed2ae-0bc9-5d2c-aa78-e9412072e36b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdbfed2ae-0bc9-5d2c-aa78-e9412072e36b","fullStatement":"illustrate the measure of an angle as the part of a circle whose center is at the vertex of the angle that is \"cut out\" by the rays of the angle. Angle measures are limited to whole numbers;","alternativeLabel":"111.6.b.7.A illustrate the measure of an angle as the part of a circle whose center is at the vertex of the angle that is \"cut out\" by the rays of the angle. Angle measures are limited to whole numbers;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.7.A","listEnumeration":"320","abbreviatedStatement":"illustrate the measure of an angle as the part of a circle whose center is at the vertex of the angle that is \"cut out\" by the rays of the angle. Angle measures are limited to whole numbers;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"8f90009f-b261-50ad-8c80-551f6ffaf661","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8f90009f-b261-50ad-8c80-551f6ffaf661","fullStatement":"illustrate degrees as the units used to measure an angle, where $1/360$ of any circle is one degree and an angle that \"cuts\" $n/360$ out of any circle whose center is at the angle's vertex has a measure of n degrees. Angle measures are limited to whole numbers;","alternativeLabel":"111.6.b.7.B illustrate degrees as the units used to measure an angle, where 1/360 of any circle is one degree and an angle that \"cuts\" n/360 out of any circle whose center is at the angle's vertex has a measure of n degrees. Angle measures are limited to ","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.7.B","listEnumeration":"321","abbreviatedStatement":"illustrate degrees as the units used to measure an angle, where 1/360 of any circle is one degree and an angle that \"cuts\" n/360 out of any circle whose center is at the angle's vertex has a measure of n degrees. Angle measures are limited to whole numbers;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"b570dd92-b803-5ad1-851b-30c6b3d5de27","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb570dd92-b803-5ad1-851b-30c6b3d5de27","fullStatement":"determine the approximate measures of angles in degrees to the nearest whole number using a protractor;","alternativeLabel":"111.6.b.7.C determine the approximate measures of angles in degrees to the nearest whole number using a protractor;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.7.C","listEnumeration":"322","abbreviatedStatement":"determine the approximate measures of angles in degrees to the nearest whole number using a protractor;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"6aa2242b-74e5-5c68-a3aa-634f06c1830e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6aa2242b-74e5-5c68-a3aa-634f06c1830e","fullStatement":"draw an angle with a given measure; and","alternativeLabel":"111.6.b.7.D draw an angle with a given measure; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.7.D","listEnumeration":"323","abbreviatedStatement":"draw an angle with a given measure; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"e7688947-bc00-5e98-a0e2-d08fa5ebedb1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse7688947-bc00-5e98-a0e2-d08fa5ebedb1","fullStatement":"determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures.","alternativeLabel":"111.6.b.7.E determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.7.E","listEnumeration":"324","abbreviatedStatement":"determine the measure of an unknown angle formed by two non-overlapping adjacent angles given one or both angle measures.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"afc882bc-8af0-5f49-944f-442c6e927faa","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsafc882bc-8af0-5f49-944f-442c6e927faa","fullStatement":"Geometry and measurement. The student applies mathematical process standards to select appropriate customary and metric units, strategies, and tools to solve problems involving measurement. The student is expected to:","alternativeLabel":"111.6.b.8 Geometry and measurement. The student applies mathematical process standards to select appropriate customary and metric units, strategies, and tools to solve problems involving measurement. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.8","listEnumeration":"325","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to select appropriate customary and metric units, strategies, and tools to solve problems involving measurement. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"576b7c11-86bc-5679-86f4-62e7240ac353","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems576b7c11-86bc-5679-86f4-62e7240ac353","fullStatement":"identify relative sizes of measurement units within the customary and metric systems;","alternativeLabel":"111.6.b.8.A identify relative sizes of measurement units within the customary and metric systems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.8.A","listEnumeration":"326","abbreviatedStatement":"identify relative sizes of measurement units within the customary and metric systems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"e63c4ce4-435b-50ab-83d4-b310acca7d6e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse63c4ce4-435b-50ab-83d4-b310acca7d6e","fullStatement":"convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measures represented in a table; and","alternativeLabel":"111.6.b.8.B convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measures represented in a table; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.8.B","listEnumeration":"327","abbreviatedStatement":"convert measurements within the same measurement system, customary or metric, from a smaller unit into a larger unit or a larger unit into a smaller unit when given other equivalent measures represented in a table; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"4c00ed48-690a-5920-9ad9-5da988f2f97b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4c00ed48-690a-5920-9ad9-5da988f2f97b","fullStatement":"solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate.","alternativeLabel":"111.6.b.8.C solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.8.C","listEnumeration":"328","abbreviatedStatement":"solve problems that deal with measurements of length, intervals of time, liquid volumes, mass, and money using addition, subtraction, multiplication, or division as appropriate.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"064e6b36-4a9a-593d-8172-47d09c9409f0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems064e6b36-4a9a-593d-8172-47d09c9409f0","fullStatement":"Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:","alternativeLabel":"111.6.b.9 Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.9","listEnumeration":"329","abbreviatedStatement":"Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"06116bb5-9ada-5a5e-a645-c16e2123499b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems06116bb5-9ada-5a5e-a645-c16e2123499b","fullStatement":"represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions; and","alternativeLabel":"111.6.b.9.A represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.9.A","listEnumeration":"330","abbreviatedStatement":"represent data on a frequency table, dot plot, or stem-and-leaf plot marked with whole numbers and fractions; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"73da411c-7c69-5793-8a6e-6aec2fe9a34b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems73da411c-7c69-5793-8a6e-6aec2fe9a34b","fullStatement":"solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot.","alternativeLabel":"111.6.b.9.B solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.9.B","listEnumeration":"331","abbreviatedStatement":"solve one- and two-step problems using data in whole number, decimal, and fraction form in a frequency table, dot plot, or stem-and-leaf plot.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:16+00:00"},{"identifier":"5eb4d8cc-73ba-588e-9e2e-bc5a0eb38be2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5eb4d8cc-73ba-588e-9e2e-bc5a0eb38be2","fullStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","alternativeLabel":"111.6.b.10 Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.6.b.10","listEnumeration":"332","abbreviatedStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"c9437fdf-ef5c-5806-9548-052152cbe265","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc9437fdf-ef5c-5806-9548-052152cbe265","fullStatement":"distinguish between fixed and variable expenses;","alternativeLabel":"111.6.b.10.A distinguish between fixed and variable expenses;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.10.A","listEnumeration":"333","abbreviatedStatement":"distinguish between fixed and variable expenses;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"acfe31bc-8683-51e6-a469-f6058253f9f5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsacfe31bc-8683-51e6-a469-f6058253f9f5","fullStatement":"calculate profit in a given situation;","alternativeLabel":"111.6.b.10.B calculate profit in a given situation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.10.B","listEnumeration":"334","abbreviatedStatement":"calculate profit in a given situation;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"99866dc7-fb9b-53e7-b0df-ef6bc0b52fc8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems99866dc7-fb9b-53e7-b0df-ef6bc0b52fc8","fullStatement":"compare the advantages and disadvantages of various savings options;","alternativeLabel":"111.6.b.10.C compare the advantages and disadvantages of various savings options;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.10.C","listEnumeration":"335","abbreviatedStatement":"compare the advantages and disadvantages of various savings options;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"93482406-c35e-5155-ba02-7aa9a446a59f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems93482406-c35e-5155-ba02-7aa9a446a59f","fullStatement":"describe how to allocate a weekly allowance among spending; saving, including for college; and sharing; and","alternativeLabel":"111.6.b.10.D describe how to allocate a weekly allowance among spending; saving, including for college; and sharing; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.10.D","listEnumeration":"336","abbreviatedStatement":"describe how to allocate a weekly allowance among spending; saving, including for college; and sharing; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"596ad9f0-ad5f-5b96-bd70-002fc7910394","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems596ad9f0-ad5f-5b96-bd70-002fc7910394","fullStatement":"describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending.","alternativeLabel":"111.6.b.10.E describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.6.b.10.E","listEnumeration":"337","abbreviatedStatement":"describe the basic purpose of financial institutions, including keeping money safe, borrowing money, and lending.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"1b4c7966-27d6-5550-ad8b-46dc0a8bb48a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1b4c7966-27d6-5550-ad8b-46dc0a8bb48a","fullStatement":"Grade 5, Adopted 2012.","alternativeLabel":"111.7 Grade 5, Adopted 2012.","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.7","listEnumeration":"338","abbreviatedStatement":"Grade 5, Adopted 2012.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"35cc23f3-e0d8-5202-aa15-3a5fdc6b2bea","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems35cc23f3-e0d8-5202-aa15-3a5fdc6b2bea","fullStatement":"Introduction.","alternativeLabel":"111.7.a Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.7.a","listEnumeration":"339","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"065e7d7e-9b5f-50a1-a1c0-68a6d31c5bea","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems065e7d7e-9b5f-50a1-a1c0-68a6d31c5bea","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.7.a.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while foc","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.7.a.1","listEnumeration":"340","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"09d19d29-9903-5523-9579-1248e7ff0a0f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems09d19d29-9903-5523-9579-1248e7ff0a0f","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.7.a.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standar","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.7.a.2","listEnumeration":"341","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"581ff337-ac3c-54c9-8c1d-b201716058f6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems581ff337-ac3c-54c9-8c1d-b201716058f6","fullStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 5 are expected to perform their work without the use of calculators.","alternativeLabel":"111.7.a.3 For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficient","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.7.a.3","listEnumeration":"342","abbreviatedStatement":"For students to become fluent in mathematics, students must develop a robust sense of number. The National Research Council's report, \"Adding It Up,\" defines procedural fluency as \"skill in carrying out procedures flexibly, accurately, efficiently, and appropriately.\" As students develop procedural fluency, they must also realize that true problem solving may take time, effort, and perseverance. Students in Grade 5 are expected to perform their work without the use of calculators.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"9fd65f17-a3e4-59bc-ba83-eda41b052bf9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9fd65f17-a3e4-59bc-ba83-eda41b052bf9","fullStatement":"The primary focal areas in Grade 5 are solving problems involving all four operations with positive rational numbers, determining and generating formulas and solutions to expressions, and extending measurement to area and volume. These focal areas are supported throughout the mathematical strands of number and operations, algebraic reasoning, geometry and measurement, and data analysis. In Grades 3-5, the number set is limited to positive rational numbers. In number and operations, students will apply place value and identify part-to-whole relationships and equivalence. In algebraic reasoning, students will represent and solve problems with expressions and equations, build foundations of functions through patterning, identify prime and composite numbers, and use the order of operations. In geometry and measurement, students will classify two-dimensional figures, connect geometric attributes to the measures of three-dimensional figures, use units of measure, and represent location using a coordinate plane. In data analysis, students will represent and interpret data.","alternativeLabel":"111.7.a.4 The primary focal areas in Grade 5 are solving problems involving all four operations with positive rational numbers, determining and generating formulas and solutions to expressions, and extending measurement to area and volume. These focal are","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.7.a.4","listEnumeration":"343","abbreviatedStatement":"The primary focal areas in Grade 5 are solving problems involving all four operations with positive rational numbers, determining and generating formulas and solutions to expressions, and extending measurement to area and volume. These focal areas are supported throughout the mathematical strands of number and operations, algebraic reasoning, geometry and measurement, and data analysis. In Grades 3-5, the number set is limited to positive rational numbers. In number and operations, students will apply place value and identify part-to-whole relationships and equivalence. In algebraic reasoning, students will represent and solve problems with expressions and equations, build foundations of functions through patterning, identify prime and composite numbers, and use the order of operations. In geometry and measurement, students will classify two-dimensional figures, connect geometric attributes to the measures of three-dimensional figures, use units of measure, and represent location using a coordinate plane. In data analysis, students will represent and interpret data.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"4fe93acd-d009-57dd-8e44-a82e943a2392","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4fe93acd-d009-57dd-8e44-a82e943a2392","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.7.a.5 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.7.a.5","listEnumeration":"344","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"a3f8b494-3025-56bb-887b-649b530b1bf6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa3f8b494-3025-56bb-887b-649b530b1bf6","fullStatement":"Knowledge and skills.","alternativeLabel":"111.7.b Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.7.b","listEnumeration":"345","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"1d0bb289-29a6-5b12-99c8-38304633f3f6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1d0bb289-29a6-5b12-99c8-38304633f3f6","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.7.b.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.1","listEnumeration":"346","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"ba0f1580-ec7c-51c5-a6c5-5c0f585fe227","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsba0f1580-ec7c-51c5-a6c5-5c0f585fe227","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.7.b.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.1.A","listEnumeration":"347","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"ffbe512a-f802-55e1-a4c0-62ef0f4c55bf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsffbe512a-f802-55e1-a4c0-62ef0f4c55bf","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.7.b.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.1.B","listEnumeration":"348","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"94b3f2fc-4f6e-545e-b18b-6d0d345700c0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems94b3f2fc-4f6e-545e-b18b-6d0d345700c0","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.7.b.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.1.C","listEnumeration":"349","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"75cd0167-6708-548c-a866-476984650845","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems75cd0167-6708-548c-a866-476984650845","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.7.b.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.1.D","listEnumeration":"350","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"9db027d3-e874-5234-9575-ea32c38f5d8e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9db027d3-e874-5234-9575-ea32c38f5d8e","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.7.b.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.1.E","listEnumeration":"351","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"b0720361-a39b-5a7a-82b9-a7bb29dc3db4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb0720361-a39b-5a7a-82b9-a7bb29dc3db4","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.7.b.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.1.F","listEnumeration":"352","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"bf5977f9-11f1-5012-b48d-8a87429a961b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbf5977f9-11f1-5012-b48d-8a87429a961b","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.7.b.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.1.G","listEnumeration":"353","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"1fdb8112-98a6-57fe-819e-ebdaf098f45d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1fdb8112-98a6-57fe-819e-ebdaf098f45d","fullStatement":"Number and operations. The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value. The student is expected to:","alternativeLabel":"111.7.b.2 Number and operations. The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.2","listEnumeration":"354","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"4dcd1846-8c37-5c97-b273-e33468e0a636","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4dcd1846-8c37-5c97-b273-e33468e0a636","fullStatement":"represent the value of the digit in decimals through the thousandths using expanded notation and numerals;","alternativeLabel":"111.7.b.2.A represent the value of the digit in decimals through the thousandths using expanded notation and numerals;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.2.A","listEnumeration":"355","abbreviatedStatement":"represent the value of the digit in decimals through the thousandths using expanded notation and numerals;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"d72002ac-325f-53f0-a15c-310ae91ab313","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd72002ac-325f-53f0-a15c-310ae91ab313","fullStatement":"compare and order two decimals to thousandths and represent comparisons using the symbols ,","alternativeLabel":"111.7.b.2.B compare and order two decimals to thousandths and represent comparisons using the symbols ,","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.2.B","listEnumeration":"356","abbreviatedStatement":"compare and order two decimals to thousandths and represent comparisons using the symbols ,","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"31986c61-9266-5f87-aadb-e5ea18e1daa8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems31986c61-9266-5f87-aadb-e5ea18e1daa8","fullStatement":"round decimals to tenths or hundredths.","alternativeLabel":"111.7.b.2.C round decimals to tenths or hundredths.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.2.C","listEnumeration":"357","abbreviatedStatement":"round decimals to tenths or hundredths.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"8ca48c68-8435-549f-a769-4317226aeb2a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8ca48c68-8435-549f-a769-4317226aeb2a","fullStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy. The student is expected to:","alternativeLabel":"111.7.b.3 Number and operations. The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.3","listEnumeration":"358","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"79bddc0e-0f9c-5140-93cb-c9d8e6c76f59","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems79bddc0e-0f9c-5140-93cb-c9d8e6c76f59","fullStatement":"estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division;","alternativeLabel":"111.7.b.3.A estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.A","listEnumeration":"359","abbreviatedStatement":"estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:17+00:00"},{"identifier":"41d03252-1580-5e9f-945c-85777924ef65","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems41d03252-1580-5e9f-945c-85777924ef65","fullStatement":"multiply with fluency a three-digit number by a two-digit number using the standard algorithm;","alternativeLabel":"111.7.b.3.B multiply with fluency a three-digit number by a two-digit number using the standard algorithm;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.B","listEnumeration":"360","abbreviatedStatement":"multiply with fluency a three-digit number by a two-digit number using the standard algorithm;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"ea903c92-fec4-53d9-86f8-6fd1e2a15e84","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsea903c92-fec4-53d9-86f8-6fd1e2a15e84","fullStatement":"solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm;","alternativeLabel":"111.7.b.3.C solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.C","listEnumeration":"361","abbreviatedStatement":"solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"ce050a75-3e6d-549c-9a5b-019474f5c24f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsce050a75-3e6d-549c-9a5b-019474f5c24f","fullStatement":"represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models;","alternativeLabel":"111.7.b.3.D represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.D","listEnumeration":"362","abbreviatedStatement":"represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"e042423a-2670-5e08-a1e4-862e2c870636","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse042423a-2670-5e08-a1e4-862e2c870636","fullStatement":"solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers;","alternativeLabel":"111.7.b.3.E solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.E","listEnumeration":"363","abbreviatedStatement":"solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"0066e10c-eaac-577f-9c4c-9918343e9801","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0066e10c-eaac-577f-9c4c-9918343e9801","fullStatement":"represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models;","alternativeLabel":"111.7.b.3.F represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.F","listEnumeration":"364","abbreviatedStatement":"represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"14958b62-45c5-51bf-997f-e292aaac0313","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems14958b62-45c5-51bf-997f-e292aaac0313","fullStatement":"solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm;","alternativeLabel":"111.7.b.3.G solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.G","listEnumeration":"365","abbreviatedStatement":"solve for quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using strategies and algorithms, including the standard algorithm;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"bc58f0f4-c764-5350-83e1-2aeffb85f057","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbc58f0f4-c764-5350-83e1-2aeffb85f057","fullStatement":"represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations;","alternativeLabel":"111.7.b.3.H represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.H","listEnumeration":"366","abbreviatedStatement":"represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"6d3cf523-b593-5b38-ab7a-a4c064b1e6b0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6d3cf523-b593-5b38-ab7a-a4c064b1e6b0","fullStatement":"represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;","alternativeLabel":"111.7.b.3.I represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.I","listEnumeration":"367","abbreviatedStatement":"represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"1ca90e6a-ccda-5ce9-8892-491ecc6baf93","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1ca90e6a-ccda-5ce9-8892-491ecc6baf93","fullStatement":"represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as $1/3 \u00f7 7$ and $7 \u00f7 1/3$ using objects and pictorial models, including area models;","alternativeLabel":"111.7.b.3.J represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 7 and 7 1/3 using objects and pictorial models, including area models;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.J","listEnumeration":"368","abbreviatedStatement":"represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 \u00f7 7 and 7 \u00f7 1/3 using objects and pictorial models, including area models;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"9f8c7fe0-f241-5ede-8d1e-a2a5c644f8c4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9f8c7fe0-f241-5ede-8d1e-a2a5c644f8c4","fullStatement":"add and subtract positive rational numbers fluently; and","alternativeLabel":"111.7.b.3.K add and subtract positive rational numbers fluently; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.K","listEnumeration":"369","abbreviatedStatement":"add and subtract positive rational numbers fluently; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"1bda2d22-f644-5b7b-bfe9-95b03ebec644","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1bda2d22-f644-5b7b-bfe9-95b03ebec644","fullStatement":"divide whole numbers by unit fractions and unit fractions by whole numbers.","alternativeLabel":"111.7.b.3.L divide whole numbers by unit fractions and unit fractions by whole numbers.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.3.L","listEnumeration":"370","abbreviatedStatement":"divide whole numbers by unit fractions and unit fractions by whole numbers.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"5939d410-e498-56f4-a050-0c180eec12c4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5939d410-e498-56f4-a050-0c180eec12c4","fullStatement":"Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:","alternativeLabel":"111.7.b.4 Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.4","listEnumeration":"371","abbreviatedStatement":"Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"6acd46cd-12a0-52c6-a802-71cab249ecf4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6acd46cd-12a0-52c6-a802-71cab249ecf4","fullStatement":"identify prime and composite numbers;","alternativeLabel":"111.7.b.4.A identify prime and composite numbers;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.4.A","listEnumeration":"372","abbreviatedStatement":"identify prime and composite numbers;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"0b984135-a21c-511e-bd00-716daaa58073","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0b984135-a21c-511e-bd00-716daaa58073","fullStatement":"represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity;","alternativeLabel":"111.7.b.4.B represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.4.B","listEnumeration":"373","abbreviatedStatement":"represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"65dbc3d9-fb85-5d35-9a0c-75d2ec9f0791","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems65dbc3d9-fb85-5d35-9a0c-75d2ec9f0791","fullStatement":"generate a numerical pattern when given a rule in the form $y = ax$ or $y = x + a$ and graph;","alternativeLabel":"111.7.b.4.C generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.4.C","listEnumeration":"374","abbreviatedStatement":"generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:19+00:00"},{"identifier":"ab6cef53-e029-50d8-82ed-03f1c42df145","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsab6cef53-e029-50d8-82ed-03f1c42df145","fullStatement":"recognize the difference between additive and multiplicative numerical patterns given in a table or graph;","alternativeLabel":"111.7.b.4.D recognize the difference between additive and multiplicative numerical patterns given in a table or graph;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.4.D","listEnumeration":"375","abbreviatedStatement":"recognize the difference between additive and multiplicative numerical patterns given in a table or graph;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"72ad43ae-73cc-5907-a428-32400b8d7635","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems72ad43ae-73cc-5907-a428-32400b8d7635","fullStatement":"describe the meaning of parentheses and brackets in a numeric expression;","alternativeLabel":"111.7.b.4.E describe the meaning of parentheses and brackets in a numeric expression;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.4.E","listEnumeration":"376","abbreviatedStatement":"describe the meaning of parentheses and brackets in a numeric expression;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"d531be6b-0952-577c-98d5-62abc0766e06","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd531be6b-0952-577c-98d5-62abc0766e06","fullStatement":"simplify numerical expressions that do not involve exponents, including up to two levels of grouping;","alternativeLabel":"111.7.b.4.F simplify numerical expressions that do not involve exponents, including up to two levels of grouping;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.4.F","listEnumeration":"377","abbreviatedStatement":"simplify numerical expressions that do not involve exponents, including up to two levels of grouping;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"b2a1e9e6-6fd0-5b56-af53-ff170e342b54","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb2a1e9e6-6fd0-5b56-af53-ff170e342b54","fullStatement":"use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube ($V = l \\times w \\times h$, $V = s \\times s \\times s$, and $V = Bh$); and","alternativeLabel":"111.7.b.4.G use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V = Bh); and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.4.G","listEnumeration":"378","abbreviatedStatement":"use concrete objects and pictorial models to develop the formulas for the volume of a rectangular prism, including the special form for a cube (V = l x w x h, V = s x s x s, and V = Bh); and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"f4c11606-bb85-520d-9005-c148bc46946e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf4c11606-bb85-520d-9005-c148bc46946e","fullStatement":"represent and solve problems related to perimeter and/or area and related to volume.","alternativeLabel":"111.7.b.4.H represent and solve problems related to perimeter and/or area and related to volume.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.4.H","listEnumeration":"379","abbreviatedStatement":"represent and solve problems related to perimeter and/or area and related to volume.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"33642e82-d4ec-5359-afb3-1709f4536033","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems33642e82-d4ec-5359-afb3-1709f4536033","fullStatement":"Geometry and measurement. The student applies mathematical process standards to classify two-dimensional figures by attributes and properties. The student is expected to classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.","alternativeLabel":"111.7.b.5 Geometry and measurement. The student applies mathematical process standards to classify two-dimensional figures by attributes and properties. The student is expected to classify two-dimensional figures in a hierarchy of sets and subsets using g","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.5","listEnumeration":"380","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to classify two-dimensional figures by attributes and properties. The student is expected to classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"2d7a0dae-582f-5642-83fd-f41fe33852fe","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2d7a0dae-582f-5642-83fd-f41fe33852fe","fullStatement":"Geometry and measurement. The student applies mathematical process standards to understand, recognize, and quantify volume. The student is expected to:","alternativeLabel":"111.7.b.6 Geometry and measurement. The student applies mathematical process standards to understand, recognize, and quantify volume. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.6","listEnumeration":"381","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to understand, recognize, and quantify volume. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"2d44721c-ac9c-5f79-a7bf-ab6aca473b9d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2d44721c-ac9c-5f79-a7bf-ab6aca473b9d","fullStatement":"recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes ($n$ cubic units) needed to fill it with no gaps or overlaps if possible; and","alternativeLabel":"111.7.b.6.A recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.6.A","listEnumeration":"382","abbreviatedStatement":"recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units) needed to fill it with no gaps or overlaps if possible; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"9d824b6e-f058-5520-a32a-1b1ce44ad5bc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9d824b6e-f058-5520-a32a-1b1ce44ad5bc","fullStatement":"determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.","alternativeLabel":"111.7.b.6.B determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.6.B","listEnumeration":"383","abbreviatedStatement":"determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"cf3f727c-258b-59ba-9903-252c451496fa","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscf3f727c-258b-59ba-9903-252c451496fa","fullStatement":"Geometry and measurement. The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving measurement. The student is expected to solve problems by calculating conversions within a measurement system, customary or metric.","alternativeLabel":"111.7.b.7 Geometry and measurement. The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving measurement. The student is expected to solve problems by calculating conversions within ","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.7","listEnumeration":"384","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving measurement. The student is expected to solve problems by calculating conversions within a measurement system, customary or metric.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"bf3be036-f734-5dce-83c9-9dbe793641c7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbf3be036-f734-5dce-83c9-9dbe793641c7","fullStatement":"Geometry and measurement. The student applies mathematical process standards to identify locations on a coordinate plane. The student is expected to:","alternativeLabel":"111.7.b.8 Geometry and measurement. The student applies mathematical process standards to identify locations on a coordinate plane. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.8","listEnumeration":"385","abbreviatedStatement":"Geometry and measurement. The student applies mathematical process standards to identify locations on a coordinate plane. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"c4e2e86e-1611-5dd1-8671-d2e493ee4cb9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc4e2e86e-1611-5dd1-8671-d2e493ee4cb9","fullStatement":"describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the $x$-coordinate, the first number in an ordered pair, indicates movement parallel to the $x$-axis starting at the origin; and the $y$-coordinate, the second number, indicates movement parallel to the $y$-axis starting at the origin;","alternativeLabel":"111.7.b.8.A describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first n","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.8.A","listEnumeration":"386","abbreviatedStatement":"describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"9d7203e5-befc-5ded-a99b-74faf45fa3ff","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9d7203e5-befc-5ded-a99b-74faf45fa3ff","fullStatement":"describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane; and","alternativeLabel":"111.7.b.8.B describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.8.B","listEnumeration":"387","abbreviatedStatement":"describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"ba720b39-ccb2-5362-bcba-d2a65f5341ae","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsba720b39-ccb2-5362-bcba-d2a65f5341ae","fullStatement":"graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.","alternativeLabel":"111.7.b.8.C graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.8.C","listEnumeration":"388","abbreviatedStatement":"graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"c12b5971-cf39-54d5-b240-ebde4df69987","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc12b5971-cf39-54d5-b240-ebde4df69987","fullStatement":"Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:","alternativeLabel":"111.7.b.9 Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.9","listEnumeration":"389","abbreviatedStatement":"Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:20+00:00"},{"identifier":"56c55ade-ff23-5ca8-9548-bff25d51207b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems56c55ade-ff23-5ca8-9548-bff25d51207b","fullStatement":"represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and-leaf plots;","alternativeLabel":"111.7.b.9.A represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and-leaf plots;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.9.A","listEnumeration":"390","abbreviatedStatement":"represent categorical data with bar graphs or frequency tables and numerical data, including data sets of measurements in fractions or decimals, with dot plots or stem-and-leaf plots;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"87ccf953-b7b7-56ae-adb8-2c30a32f34f5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems87ccf953-b7b7-56ae-adb8-2c30a32f34f5","fullStatement":"represent discrete paired data on a scatterplot; and","alternativeLabel":"111.7.b.9.B represent discrete paired data on a scatterplot; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.9.B","listEnumeration":"391","abbreviatedStatement":"represent discrete paired data on a scatterplot; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"0ac793a0-7ed7-56ed-be59-38fcfa85953f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0ac793a0-7ed7-56ed-be59-38fcfa85953f","fullStatement":"solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot.","alternativeLabel":"111.7.b.9.C solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.9.C","listEnumeration":"392","abbreviatedStatement":"solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"4d34c40b-498f-547a-8c9d-02ed80e457da","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4d34c40b-498f-547a-8c9d-02ed80e457da","fullStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","alternativeLabel":"111.7.b.10 Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.7.b.10","listEnumeration":"393","abbreviatedStatement":"Personal financial literacy. The student applies mathematical process standards to manage one's financial resources effectively for lifetime financial security. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"fbc7d63b-ed19-5539-bbc9-eca30d84e786","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfbc7d63b-ed19-5539-bbc9-eca30d84e786","fullStatement":"define income tax, payroll tax, sales tax, and property tax;","alternativeLabel":"111.7.b.10.A define income tax, payroll tax, sales tax, and property tax;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.10.A","listEnumeration":"394","abbreviatedStatement":"define income tax, payroll tax, sales tax, and property tax;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"d82d6111-52dd-5912-8a6b-4b0aa0f5a91d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd82d6111-52dd-5912-8a6b-4b0aa0f5a91d","fullStatement":"explain the difference between gross income and net income;","alternativeLabel":"111.7.b.10.B explain the difference between gross income and net income;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.10.B","listEnumeration":"395","abbreviatedStatement":"explain the difference between gross income and net income;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"1f195505-f903-5a06-81b1-bf72e0daa26f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1f195505-f903-5a06-81b1-bf72e0daa26f","fullStatement":"identify the advantages and disadvantages of different methods of payment, including check, credit card, debit card, and electronic payments;","alternativeLabel":"111.7.b.10.C identify the advantages and disadvantages of different methods of payment, including check, credit card, debit card, and electronic payments;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.10.C","listEnumeration":"396","abbreviatedStatement":"identify the advantages and disadvantages of different methods of payment, including check, credit card, debit card, and electronic payments;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"c308dadd-567f-5bff-bbd2-f8df8f78fec0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc308dadd-567f-5bff-bbd2-f8df8f78fec0","fullStatement":"develop a system for keeping and using financial records;","alternativeLabel":"111.7.b.10.D develop a system for keeping and using financial records;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.10.D","listEnumeration":"397","abbreviatedStatement":"develop a system for keeping and using financial records;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"01a00875-c285-53ed-9839-f64b3fbdae49","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems01a00875-c285-53ed-9839-f64b3fbdae49","fullStatement":"describe actions that might be taken to balance a budget when expenses exceed income; and","alternativeLabel":"111.7.b.10.E describe actions that might be taken to balance a budget when expenses exceed income; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.10.E","listEnumeration":"398","abbreviatedStatement":"describe actions that might be taken to balance a budget when expenses exceed income; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"77e68879-b5a8-5046-8582-9e725042f686","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems77e68879-b5a8-5046-8582-9e725042f686","fullStatement":"balance a simple budget.","alternativeLabel":"111.7.b.10.F balance a simple budget.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.7.b.10.F","listEnumeration":"399","abbreviatedStatement":"balance a simple budget.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"0e63e6d7-4a53-5e8f-9bd5-2e3babe33e21","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0e63e6d7-4a53-5e8f-9bd5-2e3babe33e21","fullStatement":"Subchapter B. Middle School","alternativeLabel":"111 Subchapter B. Middle School","CFItemType":"Subchapter","CFItemTypeURI":{"title":"Subchapter","identifier":"10360063-4899-4c48-8b15-d1248bd262cf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/10360063-4899-4c48-8b15-d1248bd262cf"},"humanCodingScheme":"111","listEnumeration":"400","abbreviatedStatement":"Subchapter B. Middle School","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"e3e2b58e-43ea-5227-8988-7a95bb7278af","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse3e2b58e-43ea-5227-8988-7a95bb7278af","fullStatement":"Grade 6, Adopted 2012.","alternativeLabel":"111.26 Grade 6, Adopted 2012.","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.26","listEnumeration":"401","abbreviatedStatement":"Grade 6, Adopted 2012.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"c498b394-fa03-5c6b-abce-373c18bce69a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc498b394-fa03-5c6b-abce-373c18bce69a","fullStatement":"Introduction.","alternativeLabel":"111.26.a Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.26.a","listEnumeration":"402","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"6f9df625-537c-5653-a3fc-b0ee153991d7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6f9df625-537c-5653-a3fc-b0ee153991d7","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.26.a.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while fo","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.26.a.1","listEnumeration":"403","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"1cc11e91-3f23-5481-97f6-709b4de0b3e4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1cc11e91-3f23-5481-97f6-709b4de0b3e4","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.26.a.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standa","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.26.a.2","listEnumeration":"404","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"a50dff25-74ee-5921-9ad6-7e47d431ee54","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa50dff25-74ee-5921-9ad6-7e47d431ee54","fullStatement":"The primary focal areas in Grade 6 are number and operations; proportionality; expressions, equations, and relationships; and measurement and data. Students use concepts, algorithms, and properties of rational numbers to explore mathematical relationships and to describe increasingly complex situations. Students use concepts of proportionality to explore, develop, and communicate mathematical relationships. Students use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other. Students connect verbal, numeric, graphic, and symbolic representations of relationships, including equations and inequalities. Students use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems. Students communicate information about geometric figures or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems. Students use appropriate statistics, representations of data, and reasoning to draw conclusions, evaluate arguments, and make recommendations. While the use of all types of technology is important, the emphasis on algebra readiness skills necessitates the implementation of graphing technology.","alternativeLabel":"111.26.a.3 The primary focal areas in Grade 6 are number and operations; proportionality; expressions, equations, and relationships; and measurement and data. Students use concepts, algorithms, and properties of rational numbers to explore mathematical re","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.26.a.3","listEnumeration":"405","abbreviatedStatement":"The primary focal areas in Grade 6 are number and operations; proportionality; expressions, equations, and relationships; and measurement and data. Students use concepts, algorithms, and properties of rational numbers to explore mathematical relationships and to describe increasingly complex situations. Students use concepts of proportionality to explore, develop, and communicate mathematical relationships. Students use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other. Students connect verbal, numeric, graphic, and symbolic representations of relationships, including equations and inequalities. Students use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems. Students communicate information about geometric figures or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems. Students use appropriate statistics, representations of data, and reasoning to draw conclusions, evaluate arguments, and make recommendations. While the use of all types of technology is important, the emphasis on algebra readiness skills necessitates the implementation of graphing technology.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"83b6c275-f998-56f4-b5d9-5331bdd0301a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems83b6c275-f998-56f4-b5d9-5331bdd0301a","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.26.a.4 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.26.a.4","listEnumeration":"406","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"606b41bb-caa3-51f7-b996-a5848d9f607f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems606b41bb-caa3-51f7-b996-a5848d9f607f","fullStatement":"Knowledge and skills.","alternativeLabel":"111.26.b Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.26.b","listEnumeration":"407","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"d4352dd3-1256-558f-81b0-09a53cae7fcc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd4352dd3-1256-558f-81b0-09a53cae7fcc","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.26.b.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.1","listEnumeration":"408","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"437ab307-f5d8-5dc3-b00e-3d10aea88889","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems437ab307-f5d8-5dc3-b00e-3d10aea88889","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.26.b.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.1.A","listEnumeration":"409","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"6190abc3-db3d-5e0d-b895-72415e09af01","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6190abc3-db3d-5e0d-b895-72415e09af01","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.26.b.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.1.B","listEnumeration":"410","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"ef58388f-10d9-58cf-b521-8ba759c0e7cf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsef58388f-10d9-58cf-b521-8ba759c0e7cf","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.26.b.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.1.C","listEnumeration":"411","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"1a36c43b-cb2c-5106-b61f-0f47f5c73840","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1a36c43b-cb2c-5106-b61f-0f47f5c73840","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.26.b.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.1.D","listEnumeration":"412","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"9cc6b1e0-5f00-586f-8ddb-dcd85ad3d1dc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9cc6b1e0-5f00-586f-8ddb-dcd85ad3d1dc","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.26.b.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.1.E","listEnumeration":"413","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"30c7dc0c-2ea2-55ce-84a1-0c0ea59eaf43","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems30c7dc0c-2ea2-55ce-84a1-0c0ea59eaf43","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.26.b.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.1.F","listEnumeration":"414","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"7e76c1a0-6335-5ed9-9bdf-755ffdf31a34","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7e76c1a0-6335-5ed9-9bdf-755ffdf31a34","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.26.b.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.1.G","listEnumeration":"415","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:21+00:00"},{"identifier":"cc8d66c8-6753-5143-85bc-3b0fd739a421","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscc8d66c8-6753-5143-85bc-3b0fd739a421","fullStatement":"Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to:","alternativeLabel":"111.26.b.2 Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.2","listEnumeration":"416","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"7b96969b-ad3f-5c22-b8f5-157e44500020","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7b96969b-ad3f-5c22-b8f5-157e44500020","fullStatement":"classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers;","alternativeLabel":"111.26.b.2.A classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.2.A","listEnumeration":"417","abbreviatedStatement":"classify whole numbers, integers, and rational numbers using a visual representation such as a Venn diagram to describe relationships between sets of numbers;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"747eee11-848c-597a-8c9c-a71c5399798d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems747eee11-848c-597a-8c9c-a71c5399798d","fullStatement":"identify a number, its opposite, and its absolute value;","alternativeLabel":"111.26.b.2.B identify a number, its opposite, and its absolute value;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.2.B","listEnumeration":"418","abbreviatedStatement":"identify a number, its opposite, and its absolute value;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"68073a3c-c61c-5260-8004-68a17b5b77be","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems68073a3c-c61c-5260-8004-68a17b5b77be","fullStatement":"locate, compare, and order integers and rational numbers using a number line;","alternativeLabel":"111.26.b.2.C locate, compare, and order integers and rational numbers using a number line;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.2.C","listEnumeration":"419","abbreviatedStatement":"locate, compare, and order integers and rational numbers using a number line;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"6abfaa45-644b-52e8-891e-4fa4045a6c69","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6abfaa45-644b-52e8-891e-4fa4045a6c69","fullStatement":"order a set of rational numbers arising from mathematical and real-world contexts; and","alternativeLabel":"111.26.b.2.D order a set of rational numbers arising from mathematical and real-world contexts; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.2.D","listEnumeration":"420","abbreviatedStatement":"order a set of rational numbers arising from mathematical and real-world contexts; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"7aa65024-3297-5f62-9e5b-ee74a9b42300","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7aa65024-3297-5f62-9e5b-ee74a9b42300","fullStatement":"extend representations for division to include fraction notation such as $a/b$ represents the same number as $a \u00f7 b$ where $b \\not = 0$.","alternativeLabel":"111.26.b.2.E extend representations for division to include fraction notation such as a/b represents the same number as a b where b 0.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.2.E","listEnumeration":"421","abbreviatedStatement":"extend representations for division to include fraction notation such as a/b represents the same number as a \u00f7 b where b \u2260 0.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"b5e1589c-8533-5f7c-938d-4c34ab04128d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb5e1589c-8533-5f7c-938d-4c34ab04128d","fullStatement":"Number and operations. The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions. The student is expected to:","alternativeLabel":"111.26.b.3 Number and operations. The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.3","listEnumeration":"422","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"c1b47697-a336-516d-a8e9-61698bfb88f8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc1b47697-a336-516d-a8e9-61698bfb88f8","fullStatement":"recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values;","alternativeLabel":"111.26.b.3.A recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.3.A","listEnumeration":"423","abbreviatedStatement":"recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"9e2b8b5d-6f4b-523e-a8fa-1edc2fc3494c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9e2b8b5d-6f4b-523e-a8fa-1edc2fc3494c","fullStatement":"determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one;","alternativeLabel":"111.26.b.3.B determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.3.B","listEnumeration":"424","abbreviatedStatement":"determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"2ea5b214-58bc-522b-bebf-2697ba40d3c6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2ea5b214-58bc-522b-bebf-2697ba40d3c6","fullStatement":"represent integer operations with concrete models and connect the actions with the models to standardized algorithms;","alternativeLabel":"111.26.b.3.C represent integer operations with concrete models and connect the actions with the models to standardized algorithms;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.3.C","listEnumeration":"425","abbreviatedStatement":"represent integer operations with concrete models and connect the actions with the models to standardized algorithms;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"401243e4-0c92-52e6-b816-0e639cce6bb5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems401243e4-0c92-52e6-b816-0e639cce6bb5","fullStatement":"add, subtract, multiply, and divide integers fluently; and","alternativeLabel":"111.26.b.3.D add, subtract, multiply, and divide integers fluently; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.3.D","listEnumeration":"426","abbreviatedStatement":"add, subtract, multiply, and divide integers fluently; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"0043f02d-1d4b-5acb-9b72-81a02f07f825","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0043f02d-1d4b-5acb-9b72-81a02f07f825","fullStatement":"multiply and divide positive rational numbers fluently.","alternativeLabel":"111.26.b.3.E multiply and divide positive rational numbers fluently.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.3.E","listEnumeration":"427","abbreviatedStatement":"multiply and divide positive rational numbers fluently.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"e79ad5e8-7d3a-5159-b8d2-6264e044e6df","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse79ad5e8-7d3a-5159-b8d2-6264e044e6df","fullStatement":"Proportionality. The student applies mathematical process standards to develop an understanding of proportional relationships in problem situations. The student is expected to:","alternativeLabel":"111.26.b.4 Proportionality. The student applies mathematical process standards to develop an understanding of proportional relationships in problem situations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.4","listEnumeration":"428","abbreviatedStatement":"Proportionality. The student applies mathematical process standards to develop an understanding of proportional relationships in problem situations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"ae8e459b-aa5f-51df-a34c-92f77895a416","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsae8e459b-aa5f-51df-a34c-92f77895a416","fullStatement":"compare two rules verbally, numerically, graphically, and symbolically in the form of $y = ax$ or$ y = x + a$ in order to differentiate between additive and multiplicative relationships;","alternativeLabel":"111.26.b.4.A compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.4.A","listEnumeration":"429","abbreviatedStatement":"compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:22+00:00"},{"identifier":"4d9167bd-b680-5c7f-806f-258c30b3ce63","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4d9167bd-b680-5c7f-806f-258c30b3ce63","fullStatement":"apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates;","alternativeLabel":"111.26.b.4.B apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.4.B","listEnumeration":"430","abbreviatedStatement":"apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"5a99cfd3-715f-541e-b453-aeeed2a3a62f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5a99cfd3-715f-541e-b453-aeeed2a3a62f","fullStatement":"give examples of ratios as multiplicative comparisons of two quantities describing the same attribute;","alternativeLabel":"111.26.b.4.C give examples of ratios as multiplicative comparisons of two quantities describing the same attribute;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.4.C","listEnumeration":"431","abbreviatedStatement":"give examples of ratios as multiplicative comparisons of two quantities describing the same attribute;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"caf46dae-d04b-5d5e-90e9-d1e5aa77156e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscaf46dae-d04b-5d5e-90e9-d1e5aa77156e","fullStatement":"give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients;","alternativeLabel":"111.26.b.4.D give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.4.D","listEnumeration":"432","abbreviatedStatement":"give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"7bce025a-2d53-595b-8810-cf7ad0b85b66","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7bce025a-2d53-595b-8810-cf7ad0b85b66","fullStatement":"represent ratios and percents with concrete models, fractions, and decimals;","alternativeLabel":"111.26.b.4.E represent ratios and percents with concrete models, fractions, and decimals;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.4.E","listEnumeration":"433","abbreviatedStatement":"represent ratios and percents with concrete models, fractions, and decimals;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"31af9efe-4bb9-5dbd-891c-aa4a347d7f07","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems31af9efe-4bb9-5dbd-891c-aa4a347d7f07","fullStatement":"represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers;","alternativeLabel":"111.26.b.4.F represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.4.F","listEnumeration":"434","abbreviatedStatement":"represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"6ffa96b4-41cd-521f-ae6f-232fcb8d271f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6ffa96b4-41cd-521f-ae6f-232fcb8d271f","fullStatement":"generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money; and","alternativeLabel":"111.26.b.4.G generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.4.G","listEnumeration":"435","abbreviatedStatement":"generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"adc84edd-60e0-50a8-95c4-dc4df61bd776","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsadc84edd-60e0-50a8-95c4-dc4df61bd776","fullStatement":"convert units within a measurement system, including the use of proportions and unit rates.","alternativeLabel":"111.26.b.4.H convert units within a measurement system, including the use of proportions and unit rates.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.4.H","listEnumeration":"436","abbreviatedStatement":"convert units within a measurement system, including the use of proportions and unit rates.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"404c776c-eb35-59f2-9a26-85aea78aacf3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems404c776c-eb35-59f2-9a26-85aea78aacf3","fullStatement":"Proportionality. The student applies mathematical process standards to solve problems involving proportional relationships. The student is expected to:","alternativeLabel":"111.26.b.5 Proportionality. The student applies mathematical process standards to solve problems involving proportional relationships. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.5","listEnumeration":"437","abbreviatedStatement":"Proportionality. The student applies mathematical process standards to solve problems involving proportional relationships. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"58c902c2-e62c-5caf-b042-44103a7bb09d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems58c902c2-e62c-5caf-b042-44103a7bb09d","fullStatement":"represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions;","alternativeLabel":"111.26.b.5.A represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.5.A","listEnumeration":"438","abbreviatedStatement":"represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"261da132-4340-589a-b4cf-9b6f4845eb06","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems261da132-4340-589a-b4cf-9b6f4845eb06","fullStatement":"solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models; and","alternativeLabel":"111.26.b.5.B solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.5.B","listEnumeration":"439","abbreviatedStatement":"solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"cb47cb81-5e31-5997-9384-1cc5b7cb0920","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscb47cb81-5e31-5997-9384-1cc5b7cb0920","fullStatement":"use equivalent fractions, decimals, and percents to show equal parts of the same whole.","alternativeLabel":"111.26.b.5.C use equivalent fractions, decimals, and percents to show equal parts of the same whole.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.5.C","listEnumeration":"440","abbreviatedStatement":"use equivalent fractions, decimals, and percents to show equal parts of the same whole.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"450bfa07-57e9-5246-b728-53df63735555","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems450bfa07-57e9-5246-b728-53df63735555","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use multiple representations to describe algebraic relationships. The student is expected to:","alternativeLabel":"111.26.b.6 Expressions, equations, and relationships. The student applies mathematical process standards to use multiple representations to describe algebraic relationships. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.6","listEnumeration":"441","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use multiple representations to describe algebraic relationships. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"2c4ae464-e9f1-5b49-98d5-d11f5c90cceb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2c4ae464-e9f1-5b49-98d5-d11f5c90cceb","fullStatement":"identify independent and dependent quantities from tables and graphs;","alternativeLabel":"111.26.b.6.A identify independent and dependent quantities from tables and graphs;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.6.A","listEnumeration":"442","abbreviatedStatement":"identify independent and dependent quantities from tables and graphs;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"55ddfb9f-339c-5d00-ae95-a0a71977ec86","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems55ddfb9f-339c-5d00-ae95-a0a71977ec86","fullStatement":"write an equation that represents the relationship between independent and dependent quantities from a table; and","alternativeLabel":"111.26.b.6.B write an equation that represents the relationship between independent and dependent quantities from a table; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.6.B","listEnumeration":"443","abbreviatedStatement":"write an equation that represents the relationship between independent and dependent quantities from a table; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"2eeb32d8-c092-5ced-aaf2-96f73d9cef50","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2eeb32d8-c092-5ced-aaf2-96f73d9cef50","fullStatement":"represent a given situation using verbal descriptions, tables, graphs, and equations in the form $y = kx$ or $y = x + b$.","alternativeLabel":"111.26.b.6.C represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.6.C","listEnumeration":"444","abbreviatedStatement":"represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:23+00:00"},{"identifier":"043a6add-07a4-5e6d-b668-7bee886d0d4e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems043a6add-07a4-5e6d-b668-7bee886d0d4e","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:","alternativeLabel":"111.26.b.7 Expressions, equations, and relationships. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.7","listEnumeration":"445","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"113d9b9e-0c1a-5b18-aba7-82d2ec76195d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems113d9b9e-0c1a-5b18-aba7-82d2ec76195d","fullStatement":"generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization;","alternativeLabel":"111.26.b.7.A generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.7.A","listEnumeration":"446","abbreviatedStatement":"generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"61595a02-0670-5e1d-a10b-afafe0b30967","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems61595a02-0670-5e1d-a10b-afafe0b30967","fullStatement":"distinguish between expressions and equations verbally, numerically, and algebraically;","alternativeLabel":"111.26.b.7.B distinguish between expressions and equations verbally, numerically, and algebraically;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.7.B","listEnumeration":"447","abbreviatedStatement":"distinguish between expressions and equations verbally, numerically, and algebraically;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"ec81a684-37b6-5a0c-91f7-35aab2c7ae52","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsec81a684-37b6-5a0c-91f7-35aab2c7ae52","fullStatement":"determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations; and","alternativeLabel":"111.26.b.7.C determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.7.C","listEnumeration":"448","abbreviatedStatement":"determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"87e8fe4c-e359-5559-b9d1-7fbfab63c734","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems87e8fe4c-e359-5559-b9d1-7fbfab63c734","fullStatement":"generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.","alternativeLabel":"111.26.b.7.D generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.7.D","listEnumeration":"449","abbreviatedStatement":"generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"faaee7da-bf4e-5a41-beb8-d989dcd52fca","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfaaee7da-bf4e-5a41-beb8-d989dcd52fca","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use geometry to represent relationships and solve problems. The student is expected to:","alternativeLabel":"111.26.b.8 Expressions, equations, and relationships. The student applies mathematical process standards to use geometry to represent relationships and solve problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.8","listEnumeration":"450","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use geometry to represent relationships and solve problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"e325b028-6e62-5541-bc40-0795c60ce0c8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse325b028-6e62-5541-bc40-0795c60ce0c8","fullStatement":"extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle;","alternativeLabel":"111.26.b.8.A extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.8.A","listEnumeration":"451","abbreviatedStatement":"extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"5e9fd518-2588-5739-9e0e-a2afb41fb10d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5e9fd518-2588-5739-9e0e-a2afb41fb10d","fullStatement":"model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes;","alternativeLabel":"111.26.b.8.B model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.8.B","listEnumeration":"452","abbreviatedStatement":"model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"e6baacb4-41e3-5242-a841-f468c1c4108f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse6baacb4-41e3-5242-a841-f468c1c4108f","fullStatement":"write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers; and","alternativeLabel":"111.26.b.8.C write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.8.C","listEnumeration":"453","abbreviatedStatement":"write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"fdaf78e2-24cc-5b3b-bb45-f1caa76647c6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfdaf78e2-24cc-5b3b-bb45-f1caa76647c6","fullStatement":"determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.","alternativeLabel":"111.26.b.8.D determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.8.D","listEnumeration":"454","abbreviatedStatement":"determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"5a0bf907-55d2-5ed1-be45-19d4cb145033","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5a0bf907-55d2-5ed1-be45-19d4cb145033","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use equations and inequalities to represent situations. The student is expected to:","alternativeLabel":"111.26.b.9 Expressions, equations, and relationships. The student applies mathematical process standards to use equations and inequalities to represent situations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.9","listEnumeration":"455","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use equations and inequalities to represent situations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"42ce3de1-ba28-54a7-b53f-85db805215eb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems42ce3de1-ba28-54a7-b53f-85db805215eb","fullStatement":"write one-variable, one-step equations and inequalities to represent constraints or conditions within problems;","alternativeLabel":"111.26.b.9.A write one-variable, one-step equations and inequalities to represent constraints or conditions within problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.9.A","listEnumeration":"456","abbreviatedStatement":"write one-variable, one-step equations and inequalities to represent constraints or conditions within problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"44e08a7b-3845-5e27-8595-11f5579231d9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems44e08a7b-3845-5e27-8595-11f5579231d9","fullStatement":"represent solutions for one-variable, one-step equations and inequalities on number lines; and","alternativeLabel":"111.26.b.9.B represent solutions for one-variable, one-step equations and inequalities on number lines; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.9.B","listEnumeration":"457","abbreviatedStatement":"represent solutions for one-variable, one-step equations and inequalities on number lines; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"d482f5ad-2749-515a-bae2-ac7cfeaeda2e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd482f5ad-2749-515a-bae2-ac7cfeaeda2e","fullStatement":"write corresponding real-world problems given one-variable, one-step equations or inequalities.","alternativeLabel":"111.26.b.9.C write corresponding real-world problems given one-variable, one-step equations or inequalities.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.9.C","listEnumeration":"458","abbreviatedStatement":"write corresponding real-world problems given one-variable, one-step equations or inequalities.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"a3f413cb-c609-586c-b2eb-926cfaaa4f41","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa3f413cb-c609-586c-b2eb-926cfaaa4f41","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use equations and inequalities to solve problems. The student is expected to:","alternativeLabel":"111.26.b.10 Expressions, equations, and relationships. The student applies mathematical process standards to use equations and inequalities to solve problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.10","listEnumeration":"459","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use equations and inequalities to solve problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:25+00:00"},{"identifier":"2e6547ae-6c80-5c51-ac5b-f29d87b34795","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2e6547ae-6c80-5c51-ac5b-f29d87b34795","fullStatement":"model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts; and","alternativeLabel":"111.26.b.10.A model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.10.A","listEnumeration":"460","abbreviatedStatement":"model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"005fc52f-b920-506c-bea1-6857b886f6b6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems005fc52f-b920-506c-bea1-6857b886f6b6","fullStatement":"determine if the given value(s) make(s) one-variable, one-step equations or inequalities true.","alternativeLabel":"111.26.b.10.B determine if the given value(s) make(s) one-variable, one-step equations or inequalities true.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.10.B","listEnumeration":"461","abbreviatedStatement":"determine if the given value(s) make(s) one-variable, one-step equations or inequalities true.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"7b4b8c32-9734-5566-8a28-26afb4fb17c2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7b4b8c32-9734-5566-8a28-26afb4fb17c2","fullStatement":"Measurement and data. The student applies mathematical process standards to use coordinate geometry to identify locations on a plane. The student is expected to graph points in all four quadrants using ordered pairs of rational numbers.","alternativeLabel":"111.26.b.11 Measurement and data. The student applies mathematical process standards to use coordinate geometry to identify locations on a plane. The student is expected to graph points in all four quadrants using ordered pairs of rational numbers.","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.11","listEnumeration":"462","abbreviatedStatement":"Measurement and data. The student applies mathematical process standards to use coordinate geometry to identify locations on a plane. The student is expected to graph points in all four quadrants using ordered pairs of rational numbers.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"17c1fe97-1908-55e3-9682-f701680da806","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems17c1fe97-1908-55e3-9682-f701680da806","fullStatement":"Measurement and data. The student applies mathematical process standards to use numerical or graphical representations to analyze problems. The student is expected to:","alternativeLabel":"111.26.b.12 Measurement and data. The student applies mathematical process standards to use numerical or graphical representations to analyze problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.12","listEnumeration":"463","abbreviatedStatement":"Measurement and data. The student applies mathematical process standards to use numerical or graphical representations to analyze problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"28cd0008-405f-54b1-8551-e0d9e997cab2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems28cd0008-405f-54b1-8551-e0d9e997cab2","fullStatement":"represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots;","alternativeLabel":"111.26.b.12.A represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.12.A","listEnumeration":"464","abbreviatedStatement":"represent numeric data graphically, including dot plots, stem-and-leaf plots, histograms, and box plots;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"8ad9910d-3d4c-5857-9f73-edee8637a018","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8ad9910d-3d4c-5857-9f73-edee8637a018","fullStatement":"use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution;","alternativeLabel":"111.26.b.12.B use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.12.B","listEnumeration":"465","abbreviatedStatement":"use the graphical representation of numeric data to describe the center, spread, and shape of the data distribution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"2a5705ad-154d-5c07-848a-fac7b329f6a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2a5705ad-154d-5c07-848a-fac7b329f6a4","fullStatement":"summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and use these summaries to describe the center, spread, and shape of the data distribution; and","alternativeLabel":"111.26.b.12.C summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and use these summaries to describe the center, spread, and shape of the da","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.12.C","listEnumeration":"466","abbreviatedStatement":"summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and use these summaries to describe the center, spread, and shape of the data distribution; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"5f9566fc-6440-5554-a7ea-3b0f22c2ded7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5f9566fc-6440-5554-a7ea-3b0f22c2ded7","fullStatement":"summarize categorical data with numerical and graphical summaries, including the mode, the percent of values in each category (relative frequency table), and the percent bar graph, and use these summaries to describe the data distribution.","alternativeLabel":"111.26.b.12.D summarize categorical data with numerical and graphical summaries, including the mode, the percent of values in each category (relative frequency table), and the percent bar graph, and use these summaries to describe the data distribution.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.12.D","listEnumeration":"467","abbreviatedStatement":"summarize categorical data with numerical and graphical summaries, including the mode, the percent of values in each category (relative frequency table), and the percent bar graph, and use these summaries to describe the data distribution.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"8200b869-a3d0-5969-8a2b-dbca2a4635b7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8200b869-a3d0-5969-8a2b-dbca2a4635b7","fullStatement":"Measurement and data. The student applies mathematical process standards to use numerical or graphical representations to solve problems. The student is expected to:","alternativeLabel":"111.26.b.13 Measurement and data. The student applies mathematical process standards to use numerical or graphical representations to solve problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.13","listEnumeration":"468","abbreviatedStatement":"Measurement and data. The student applies mathematical process standards to use numerical or graphical representations to solve problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"524f9e35-4361-529d-b56b-a0fbb6e56bc4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems524f9e35-4361-529d-b56b-a0fbb6e56bc4","fullStatement":"interpret numeric data summarized in dot plots, stem-and-leaf plots, histograms, and box plots; and","alternativeLabel":"111.26.b.13.A interpret numeric data summarized in dot plots, stem-and-leaf plots, histograms, and box plots; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.13.A","listEnumeration":"469","abbreviatedStatement":"interpret numeric data summarized in dot plots, stem-and-leaf plots, histograms, and box plots; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"7ff21914-d6a0-5b63-9d0d-4101f5755cdc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7ff21914-d6a0-5b63-9d0d-4101f5755cdc","fullStatement":"distinguish between situations that yield data with and without variability.","alternativeLabel":"111.26.b.13.B distinguish between situations that yield data with and without variability.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.13.B","listEnumeration":"470","abbreviatedStatement":"distinguish between situations that yield data with and without variability.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"9ecca3e7-970c-56dc-8635-b9a459480e09","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9ecca3e7-970c-56dc-8635-b9a459480e09","fullStatement":"Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. The student is expected to:","alternativeLabel":"111.26.b.14 Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.26.b.14","listEnumeration":"471","abbreviatedStatement":"Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"824a1dc5-94cb-5d07-b456-50dcc17fbdf5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems824a1dc5-94cb-5d07-b456-50dcc17fbdf5","fullStatement":"compare the features and costs of a checking account and a debit card offered by different local financial institutions;","alternativeLabel":"111.26.b.14.A compare the features and costs of a checking account and a debit card offered by different local financial institutions;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.14.A","listEnumeration":"472","abbreviatedStatement":"compare the features and costs of a checking account and a debit card offered by different local financial institutions;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"fb5d9103-195b-5479-90b6-76f657781268","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfb5d9103-195b-5479-90b6-76f657781268","fullStatement":"distinguish between debit cards and credit cards;","alternativeLabel":"111.26.b.14.B distinguish between debit cards and credit cards;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.14.B","listEnumeration":"473","abbreviatedStatement":"distinguish between debit cards and credit cards;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"813501ea-3007-5f00-8bdf-cee66b20ec87","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems813501ea-3007-5f00-8bdf-cee66b20ec87","fullStatement":"balance a check register that includes deposits, withdrawals, and transfers;","alternativeLabel":"111.26.b.14.C balance a check register that includes deposits, withdrawals, and transfers;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.14.C","listEnumeration":"474","abbreviatedStatement":"balance a check register that includes deposits, withdrawals, and transfers;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:26+00:00"},{"identifier":"ca651422-fa2e-5a91-b286-c71bd5daef44","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsca651422-fa2e-5a91-b286-c71bd5daef44","fullStatement":"explain why it is important to establish a positive credit history;","alternativeLabel":"111.26.b.14.D explain why it is important to establish a positive credit history;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.14.D","listEnumeration":"475","abbreviatedStatement":"explain why it is important to establish a positive credit history;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"c2686b7e-5091-54ab-a88a-bd83e3f56b5f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc2686b7e-5091-54ab-a88a-bd83e3f56b5f","fullStatement":"describe the information in a credit report and how long it is retained;","alternativeLabel":"111.26.b.14.E describe the information in a credit report and how long it is retained;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.14.E","listEnumeration":"476","abbreviatedStatement":"describe the information in a credit report and how long it is retained;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"11264719-b8ae-5dd3-8cf8-575d2b8f09b2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems11264719-b8ae-5dd3-8cf8-575d2b8f09b2","fullStatement":"describe the value of credit reports to borrowers and to lenders;","alternativeLabel":"111.26.b.14.F describe the value of credit reports to borrowers and to lenders;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.14.F","listEnumeration":"477","abbreviatedStatement":"describe the value of credit reports to borrowers and to lenders;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"42212938-1155-5a32-84e1-68035633a24d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems42212938-1155-5a32-84e1-68035633a24d","fullStatement":"explain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study; and","alternativeLabel":"111.26.b.14.G explain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.14.G","listEnumeration":"478","abbreviatedStatement":"explain various methods to pay for college, including through savings, grants, scholarships, student loans, and work-study; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"08f2886b-223b-5e6d-a2ec-02c6a4898dac","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems08f2886b-223b-5e6d-a2ec-02c6a4898dac","fullStatement":"compare the annual salary of several occupations requiring various levels of post-secondary education or vocational training and calculate the effects of the different annual salaries on lifetime income.","alternativeLabel":"111.26.b.14.H compare the annual salary of several occupations requiring various levels of post-secondary education or vocational training and calculate the effects of the different annual salaries on lifetime income.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.26.b.14.H","listEnumeration":"479","abbreviatedStatement":"compare the annual salary of several occupations requiring various levels of post-secondary education or vocational training and calculate the effects of the different annual salaries on lifetime income.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"7c4986dc-dd99-5718-992e-7520dd290cac","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7c4986dc-dd99-5718-992e-7520dd290cac","fullStatement":"Grade 7, Adopted 2012.","alternativeLabel":"111.27 Grade 7, Adopted 2012.","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.27","listEnumeration":"480","abbreviatedStatement":"Grade 7, Adopted 2012.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"6d56582a-3431-5cab-a9ea-37feb16c255c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6d56582a-3431-5cab-a9ea-37feb16c255c","fullStatement":"Introduction.","alternativeLabel":"111.27.a Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.27.a","listEnumeration":"481","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"37555cc2-643d-5ba9-91d5-39e1261e1409","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems37555cc2-643d-5ba9-91d5-39e1261e1409","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.27.a.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while fo","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.27.a.1","listEnumeration":"482","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"c53b1bf9-66e0-5929-b716-f7283379ac00","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc53b1bf9-66e0-5929-b716-f7283379ac00","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.27.a.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standa","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.27.a.2","listEnumeration":"483","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"304efff9-009b-5f1e-b93f-e6d63bd1c2a9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems304efff9-009b-5f1e-b93f-e6d63bd1c2a9","fullStatement":"The primary focal areas in Grade 7 are number and operations; proportionality; expressions, equations, and relationships; and measurement and data. Students use concepts, algorithms, and properties of rational numbers to explore mathematical relationships and to describe increasingly complex situations. Students use concepts of proportionality to explore, develop, and communicate mathematical relationships, including number, geometry and measurement, and statistics and probability. Students use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other. Students connect verbal, numeric, graphic, and symbolic representations of relationships, including equations and inequalities. Students use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems. Students communicate information about geometric figures or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems. Students use appropriate statistics, representations of data, and reasoning to draw conclusions, evaluate arguments, and make recommendations. While the use of all types of technology is important, the emphasis on algebra readiness skills necessitates the implementation of graphing technology.","alternativeLabel":"111.27.a.3 The primary focal areas in Grade 7 are number and operations; proportionality; expressions, equations, and relationships; and measurement and data. Students use concepts, algorithms, and properties of rational numbers to explore mathematical re","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.27.a.3","listEnumeration":"484","abbreviatedStatement":"The primary focal areas in Grade 7 are number and operations; proportionality; expressions, equations, and relationships; and measurement and data. Students use concepts, algorithms, and properties of rational numbers to explore mathematical relationships and to describe increasingly complex situations. Students use concepts of proportionality to explore, develop, and communicate mathematical relationships, including number, geometry and measurement, and statistics and probability. Students use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other. Students connect verbal, numeric, graphic, and symbolic representations of relationships, including equations and inequalities. Students use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems. Students communicate information about geometric figures or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems. Students use appropriate statistics, representations of data, and reasoning to draw conclusions, evaluate arguments, and make recommendations. While the use of all types of technology is important, the emphasis on algebra readiness skills necessitates the implementation of graphing technology.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"5c6bcd46-ffd1-57ff-90d5-a650766f18ab","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5c6bcd46-ffd1-57ff-90d5-a650766f18ab","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.27.a.4 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.27.a.4","listEnumeration":"485","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"22789778-6456-55ad-9cab-63b512054a3c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems22789778-6456-55ad-9cab-63b512054a3c","fullStatement":"Knowledge and skills.","alternativeLabel":"111.27.b Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.27.b","listEnumeration":"486","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"b137335e-563d-5bfa-87e5-87de15fa8d57","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb137335e-563d-5bfa-87e5-87de15fa8d57","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.27.b.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.1","listEnumeration":"487","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"140bdfda-5d20-5314-8078-fd4e1ccfbc01","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems140bdfda-5d20-5314-8078-fd4e1ccfbc01","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.27.b.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.1.A","listEnumeration":"488","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"dc44ba50-3bf4-5aa0-91ae-f46c35247472","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdc44ba50-3bf4-5aa0-91ae-f46c35247472","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.27.b.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.1.B","listEnumeration":"489","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:27+00:00"},{"identifier":"9d138841-4e72-5ff7-817d-e7d8391d724b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9d138841-4e72-5ff7-817d-e7d8391d724b","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.27.b.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.1.C","listEnumeration":"490","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"d5d6647f-9bb2-53fa-afd3-f6f37ccaa7fa","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd5d6647f-9bb2-53fa-afd3-f6f37ccaa7fa","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.27.b.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.1.D","listEnumeration":"491","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"740f4b2b-6f1b-549b-ba89-68adde207616","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems740f4b2b-6f1b-549b-ba89-68adde207616","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.27.b.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.1.E","listEnumeration":"492","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"74510fef-618b-5e38-96b0-ad56c943bc00","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems74510fef-618b-5e38-96b0-ad56c943bc00","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.27.b.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.1.F","listEnumeration":"493","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"4de7b5dc-b744-5a9d-ba2c-e9541e3a58ef","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4de7b5dc-b744-5a9d-ba2c-e9541e3a58ef","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.27.b.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.1.G","listEnumeration":"494","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"36790a80-096e-5830-a9f6-f1783275ebee","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems36790a80-096e-5830-a9f6-f1783275ebee","fullStatement":"Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers.","alternativeLabel":"111.27.b.2 Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to extend previous knowledge of sets and subsets using a visual representation to des","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.2","listEnumeration":"495","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent and use rational numbers in a variety of forms. The student is expected to extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"99e9b693-ead1-514d-aa39-f64b61d51192","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems99e9b693-ead1-514d-aa39-f64b61d51192","fullStatement":"Number and operations. The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions. The student is expected to:","alternativeLabel":"111.27.b.3 Number and operations. The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.3","listEnumeration":"496","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to add, subtract, multiply, and divide while solving problems and justifying solutions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"0bb004fb-f341-57d3-a410-f06cfb8c9690","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0bb004fb-f341-57d3-a410-f06cfb8c9690","fullStatement":"add, subtract, multiply, and divide rational numbers fluently; and","alternativeLabel":"111.27.b.3.A add, subtract, multiply, and divide rational numbers fluently; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.3.A","listEnumeration":"497","abbreviatedStatement":"add, subtract, multiply, and divide rational numbers fluently; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"e9da7c04-0e06-54fe-bf5d-a8f005efdf70","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse9da7c04-0e06-54fe-bf5d-a8f005efdf70","fullStatement":"apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.","alternativeLabel":"111.27.b.3.B apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.3.B","listEnumeration":"498","abbreviatedStatement":"apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"07834a56-e58f-59d4-8cf8-d0851137d7ba","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems07834a56-e58f-59d4-8cf8-d0851137d7ba","fullStatement":"Proportionality. The student applies mathematical process standards to represent and solve problems involving proportional relationships. The student is expected to:","alternativeLabel":"111.27.b.4 Proportionality. The student applies mathematical process standards to represent and solve problems involving proportional relationships. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.4","listEnumeration":"499","abbreviatedStatement":"Proportionality. The student applies mathematical process standards to represent and solve problems involving proportional relationships. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"aa29a181-f744-5299-82e6-e7142da54402","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsaa29a181-f744-5299-82e6-e7142da54402","fullStatement":"represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including $d = rt$;","alternativeLabel":"111.27.b.4.A represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.4.A","listEnumeration":"500","abbreviatedStatement":"represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"d607bb02-3d04-53be-9745-0b2d1da06fdd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd607bb02-3d04-53be-9745-0b2d1da06fdd","fullStatement":"calculate unit rates from rates in mathematical and real-world problems;","alternativeLabel":"111.27.b.4.B calculate unit rates from rates in mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.4.B","listEnumeration":"501","abbreviatedStatement":"calculate unit rates from rates in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"e42369d2-14ed-56f9-9db3-3839d23805d9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse42369d2-14ed-56f9-9db3-3839d23805d9","fullStatement":"determine the constant of proportionality $(k = y/x)$ within mathematical and real-world problems;","alternativeLabel":"111.27.b.4.C determine the constant of proportionality (k = y/x) within mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.4.C","listEnumeration":"502","abbreviatedStatement":"determine the constant of proportionality (k = y/x) within mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"f0d072b7-7361-5515-a8e4-236a4e2403cf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf0d072b7-7361-5515-a8e4-236a4e2403cf","fullStatement":"solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems; and","alternativeLabel":"111.27.b.4.D solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.4.D","listEnumeration":"503","abbreviatedStatement":"solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"cc192cb4-8d5f-5bc0-8c97-4f0ef305c0c3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscc192cb4-8d5f-5bc0-8c97-4f0ef305c0c3","fullStatement":"convert between measurement systems, including the use of proportions and the use of unit rates.","alternativeLabel":"111.27.b.4.E convert between measurement systems, including the use of proportions and the use of unit rates.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.4.E","listEnumeration":"504","abbreviatedStatement":"convert between measurement systems, including the use of proportions and the use of unit rates.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:28+00:00"},{"identifier":"a41929ab-e089-52ea-9584-04fe1fecd3b6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa41929ab-e089-52ea-9584-04fe1fecd3b6","fullStatement":"Proportionality. The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships. The student is expected to:","alternativeLabel":"111.27.b.5 Proportionality. The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.5","listEnumeration":"505","abbreviatedStatement":"Proportionality. The student applies mathematical process standards to use geometry to describe or solve problems involving proportional relationships. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"ff14b098-2852-5016-be93-f6d97fbb901e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsff14b098-2852-5016-be93-f6d97fbb901e","fullStatement":"generalize the critical attributes of similarity, including ratios within and between similar shapes;","alternativeLabel":"111.27.b.5.A generalize the critical attributes of similarity, including ratios within and between similar shapes;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.5.A","listEnumeration":"506","abbreviatedStatement":"generalize the critical attributes of similarity, including ratios within and between similar shapes;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"c6d477d8-cee7-551d-a060-b2b6c0fa8d71","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc6d477d8-cee7-551d-a060-b2b6c0fa8d71","fullStatement":"describe \u03c0 as the ratio of the circumference of a circle to its diameter; and","alternativeLabel":"111.27.b.5.B describe as the ratio of the circumference of a circle to its diameter; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.5.B","listEnumeration":"507","abbreviatedStatement":"describe \u03c0 as the ratio of the circumference of a circle to its diameter; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"3ed2062b-336a-550f-b284-d0a4049da660","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3ed2062b-336a-550f-b284-d0a4049da660","fullStatement":"solve mathematical and real-world problems involving similar shape and scale drawings.","alternativeLabel":"111.27.b.5.C solve mathematical and real-world problems involving similar shape and scale drawings.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.5.C","listEnumeration":"508","abbreviatedStatement":"solve mathematical and real-world problems involving similar shape and scale drawings.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"c8da0672-29e9-52e6-9ebc-94b3c6f52324","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc8da0672-29e9-52e6-9ebc-94b3c6f52324","fullStatement":"Proportionality. The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships. The student is expected to:","alternativeLabel":"111.27.b.6 Proportionality. The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.6","listEnumeration":"509","abbreviatedStatement":"Proportionality. The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"5f30fdc9-d9e0-5e04-8500-15c9be4f0ef3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5f30fdc9-d9e0-5e04-8500-15c9be4f0ef3","fullStatement":"represent sample spaces for simple and compound events using lists and tree diagrams;","alternativeLabel":"111.27.b.6.A represent sample spaces for simple and compound events using lists and tree diagrams;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.6.A","listEnumeration":"510","abbreviatedStatement":"represent sample spaces for simple and compound events using lists and tree diagrams;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"cedb4609-82d4-5d1a-8cd5-866572f0b2b9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscedb4609-82d4-5d1a-8cd5-866572f0b2b9","fullStatement":"select and use different simulations to represent simple and compound events with and without technology;","alternativeLabel":"111.27.b.6.B select and use different simulations to represent simple and compound events with and without technology;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.6.B","listEnumeration":"511","abbreviatedStatement":"select and use different simulations to represent simple and compound events with and without technology;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"533d4ce4-c80a-554d-8c6e-7e5ee8690083","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems533d4ce4-c80a-554d-8c6e-7e5ee8690083","fullStatement":"make predictions and determine solutions using experimental data for simple and compound events;","alternativeLabel":"111.27.b.6.C make predictions and determine solutions using experimental data for simple and compound events;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.6.C","listEnumeration":"512","abbreviatedStatement":"make predictions and determine solutions using experimental data for simple and compound events;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"cdd93647-af6b-5e7b-87de-1b3688b8c710","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscdd93647-af6b-5e7b-87de-1b3688b8c710","fullStatement":"make predictions and determine solutions using theoretical probability for simple and compound events;","alternativeLabel":"111.27.b.6.D make predictions and determine solutions using theoretical probability for simple and compound events;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.6.D","listEnumeration":"513","abbreviatedStatement":"make predictions and determine solutions using theoretical probability for simple and compound events;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"bd0c8bd6-07b8-5083-a097-5e0f6dfe9e4e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbd0c8bd6-07b8-5083-a097-5e0f6dfe9e4e","fullStatement":"find the probabilities of a simple event and its complement and describe the relationship between the two;","alternativeLabel":"111.27.b.6.E find the probabilities of a simple event and its complement and describe the relationship between the two;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.6.E","listEnumeration":"514","abbreviatedStatement":"find the probabilities of a simple event and its complement and describe the relationship between the two;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"c90adb5f-84ec-5287-8fa1-d354d394b107","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc90adb5f-84ec-5287-8fa1-d354d394b107","fullStatement":"use data from a random sample to make inferences about a population;","alternativeLabel":"111.27.b.6.F use data from a random sample to make inferences about a population;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.6.F","listEnumeration":"515","abbreviatedStatement":"use data from a random sample to make inferences about a population;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"e7a8c1e1-6763-53e4-8b44-7dcfae567d08","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse7a8c1e1-6763-53e4-8b44-7dcfae567d08","fullStatement":"solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents;","alternativeLabel":"111.27.b.6.G solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.6.G","listEnumeration":"516","abbreviatedStatement":"solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"e988d535-1541-5864-92fe-398bf84a95a0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse988d535-1541-5864-92fe-398bf84a95a0","fullStatement":"solve problems using qualitative and quantitative predictions and comparisons from simple experiments; and","alternativeLabel":"111.27.b.6.H solve problems using qualitative and quantitative predictions and comparisons from simple experiments; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.6.H","listEnumeration":"517","abbreviatedStatement":"solve problems using qualitative and quantitative predictions and comparisons from simple experiments; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"3b1a64bb-ec79-5955-b713-ee5c3a7df19b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3b1a64bb-ec79-5955-b713-ee5c3a7df19b","fullStatement":"determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.","alternativeLabel":"111.27.b.6.I determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.6.I","listEnumeration":"518","abbreviatedStatement":"determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:29+00:00"},{"identifier":"3dac9f11-59b2-52c7-be59-b5b157c5f432","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3dac9f11-59b2-52c7-be59-b5b157c5f432","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to represent linear relationships using multiple representations. The student is expected to represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form $y = mx + b$.","alternativeLabel":"111.27.b.7 Expressions, equations, and relationships. The student applies mathematical process standards to represent linear relationships using multiple representations. The student is expected to represent linear relationships using verbal descriptions,","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.7","listEnumeration":"519","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to represent linear relationships using multiple representations. The student is expected to represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"2a182636-e58d-5632-8d8a-e71e57c98c77","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2a182636-e58d-5632-8d8a-e71e57c98c77","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to develop geometric relationships with volume. The student is expected to:","alternativeLabel":"111.27.b.8 Expressions, equations, and relationships. The student applies mathematical process standards to develop geometric relationships with volume. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.8","listEnumeration":"520","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to develop geometric relationships with volume. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"9f64131c-7672-5b91-bf69-123084b77ef6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9f64131c-7672-5b91-bf69-123084b77ef6","fullStatement":"model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas;","alternativeLabel":"111.27.b.8.A model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.8.A","listEnumeration":"521","abbreviatedStatement":"model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"eda323ad-bc76-5716-83a9-d9a1e325b8a9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemseda323ad-bc76-5716-83a9-d9a1e325b8a9","fullStatement":"explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas; and","alternativeLabel":"111.27.b.8.B explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.8.B","listEnumeration":"522","abbreviatedStatement":"explain verbally and symbolically the relationship between the volume of a triangular prism and a triangular pyramid having both congruent bases and heights and connect that relationship to the formulas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"0bae342d-2d7d-5070-9747-cef8c19b7ff5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0bae342d-2d7d-5070-9747-cef8c19b7ff5","fullStatement":"use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas.","alternativeLabel":"111.27.b.8.C use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.8.C","listEnumeration":"523","abbreviatedStatement":"use models to determine the approximate formulas for the circumference and area of a circle and connect the models to the actual formulas.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"ce43d263-3af4-510e-8927-0575555a0b24","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsce43d263-3af4-510e-8927-0575555a0b24","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to solve geometric problems. The student is expected to:","alternativeLabel":"111.27.b.9 Expressions, equations, and relationships. The student applies mathematical process standards to solve geometric problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.9","listEnumeration":"524","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to solve geometric problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"57aa4683-1620-52b9-9d46-73e48a0f8040","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems57aa4683-1620-52b9-9d46-73e48a0f8040","fullStatement":"solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids;","alternativeLabel":"111.27.b.9.A solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.9.A","listEnumeration":"525","abbreviatedStatement":"solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"e8375eef-8650-57d7-8914-5dba6870805d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse8375eef-8650-57d7-8914-5dba6870805d","fullStatement":"determine the circumference and area of circles;","alternativeLabel":"111.27.b.9.B determine the circumference and area of circles;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.9.B","listEnumeration":"526","abbreviatedStatement":"determine the circumference and area of circles;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"5afffc0a-dc84-5397-83fc-237cb38877af","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5afffc0a-dc84-5397-83fc-237cb38877af","fullStatement":"determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles; and","alternativeLabel":"111.27.b.9.C determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.9.C","listEnumeration":"527","abbreviatedStatement":"determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"c1cc727f-fcfd-52aa-a6ed-1fad7e7e0548","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc1cc727f-fcfd-52aa-a6ed-1fad7e7e0548","fullStatement":"solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.","alternativeLabel":"111.27.b.9.D solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.9.D","listEnumeration":"528","abbreviatedStatement":"solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"b76fded3-af69-5f29-bd97-aba28db92856","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb76fded3-af69-5f29-bd97-aba28db92856","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations and inequalities to represent situations. The student is expected to:","alternativeLabel":"111.27.b.10 Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations and inequalities to represent situations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.10","listEnumeration":"529","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations and inequalities to represent situations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"3d3b71a7-9c7d-5b43-9fd7-49c312e10b02","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3d3b71a7-9c7d-5b43-9fd7-49c312e10b02","fullStatement":"write one-variable, two-step equations and inequalities to represent constraints or conditions within problems;","alternativeLabel":"111.27.b.10.A write one-variable, two-step equations and inequalities to represent constraints or conditions within problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.10.A","listEnumeration":"530","abbreviatedStatement":"write one-variable, two-step equations and inequalities to represent constraints or conditions within problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"c0152b66-8cea-564f-9b7c-77b334c086a3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc0152b66-8cea-564f-9b7c-77b334c086a3","fullStatement":"represent solutions for one-variable, two-step equations and inequalities on number lines; and","alternativeLabel":"111.27.b.10.B represent solutions for one-variable, two-step equations and inequalities on number lines; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.10.B","listEnumeration":"531","abbreviatedStatement":"represent solutions for one-variable, two-step equations and inequalities on number lines; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"55c562fb-f1d3-5272-b431-17e31722bab1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems55c562fb-f1d3-5272-b431-17e31722bab1","fullStatement":"write a corresponding real-world problem given a one-variable, two-step equation or inequality.","alternativeLabel":"111.27.b.10.C write a corresponding real-world problem given a one-variable, two-step equation or inequality.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.10.C","listEnumeration":"532","abbreviatedStatement":"write a corresponding real-world problem given a one-variable, two-step equation or inequality.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:31+00:00"},{"identifier":"0cbc5a76-0247-5205-84cb-ae1cac52585f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0cbc5a76-0247-5205-84cb-ae1cac52585f","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to solve one-variable equations and inequalities. The student is expected to:","alternativeLabel":"111.27.b.11 Expressions, equations, and relationships. The student applies mathematical process standards to solve one-variable equations and inequalities. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.11","listEnumeration":"533","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to solve one-variable equations and inequalities. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"e120d8e6-6455-548a-9768-a720b62c986c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse120d8e6-6455-548a-9768-a720b62c986c","fullStatement":"model and solve one-variable, two-step equations and inequalities;","alternativeLabel":"111.27.b.11.A model and solve one-variable, two-step equations and inequalities;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.11.A","listEnumeration":"534","abbreviatedStatement":"model and solve one-variable, two-step equations and inequalities;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"18077fab-3aac-5dcc-89da-f8081e9045bd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems18077fab-3aac-5dcc-89da-f8081e9045bd","fullStatement":"determine if the given value(s) make(s) one-variable, two-step equations and inequalities true; and","alternativeLabel":"111.27.b.11.B determine if the given value(s) make(s) one-variable, two-step equations and inequalities true; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.11.B","listEnumeration":"535","abbreviatedStatement":"determine if the given value(s) make(s) one-variable, two-step equations and inequalities true; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"beb27a7b-8c43-587c-9867-05066d484f9b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbeb27a7b-8c43-587c-9867-05066d484f9b","fullStatement":"write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.","alternativeLabel":"111.27.b.11.C write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.11.C","listEnumeration":"536","abbreviatedStatement":"write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"931ceea6-6a46-5767-9c92-5403642c82e9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems931ceea6-6a46-5767-9c92-5403642c82e9","fullStatement":"Measurement and data. The student applies mathematical process standards to use statistical representations to analyze data. The student is expected to:","alternativeLabel":"111.27.b.12 Measurement and data. The student applies mathematical process standards to use statistical representations to analyze data. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.12","listEnumeration":"537","abbreviatedStatement":"Measurement and data. The student applies mathematical process standards to use statistical representations to analyze data. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"ee339321-4e80-5392-99b1-74a7372cab5f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsee339321-4e80-5392-99b1-74a7372cab5f","fullStatement":"compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads;","alternativeLabel":"111.27.b.12.A compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.12.A","listEnumeration":"538","abbreviatedStatement":"compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"24d2d807-f14d-5ed7-bb9b-8a59701c4c76","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems24d2d807-f14d-5ed7-bb9b-8a59701c4c76","fullStatement":"use data from a random sample to make inferences about a population; and","alternativeLabel":"111.27.b.12.B use data from a random sample to make inferences about a population; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.12.B","listEnumeration":"539","abbreviatedStatement":"use data from a random sample to make inferences about a population; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"72353e99-1d6c-593c-afa6-8b605f5b0c19","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems72353e99-1d6c-593c-afa6-8b605f5b0c19","fullStatement":"compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations.","alternativeLabel":"111.27.b.12.C compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.12.C","listEnumeration":"540","abbreviatedStatement":"compare two populations based on data in random samples from these populations, including informal comparative inferences about differences between the two populations.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"751994dd-7c0f-569e-8da4-b9350970cb42","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems751994dd-7c0f-569e-8da4-b9350970cb42","fullStatement":"Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. The student is expected to:","alternativeLabel":"111.27.b.13 Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.27.b.13","listEnumeration":"541","abbreviatedStatement":"Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"83613514-3621-5663-bf85-0a3b81f2128d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems83613514-3621-5663-bf85-0a3b81f2128d","fullStatement":"calculate the sales tax for a given purchase and calculate income tax for earned wages;","alternativeLabel":"111.27.b.13.A calculate the sales tax for a given purchase and calculate income tax for earned wages;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.13.A","listEnumeration":"542","abbreviatedStatement":"calculate the sales tax for a given purchase and calculate income tax for earned wages;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"647f8463-037b-59a7-a65b-960065a1e63d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems647f8463-037b-59a7-a65b-960065a1e63d","fullStatement":"identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget;","alternativeLabel":"111.27.b.13.B identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.13.B","listEnumeration":"543","abbreviatedStatement":"identify the components of a personal budget, including income; planned savings for college, retirement, and emergencies; taxes; and fixed and variable expenses, and calculate what percentage each category comprises of the total budget;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"64b588ff-1946-5574-8ea9-418194f081fd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems64b588ff-1946-5574-8ea9-418194f081fd","fullStatement":"create and organize a financial assets and liabilities record and construct a net worth statement;","alternativeLabel":"111.27.b.13.C create and organize a financial assets and liabilities record and construct a net worth statement;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.13.C","listEnumeration":"544","abbreviatedStatement":"create and organize a financial assets and liabilities record and construct a net worth statement;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"b601003c-7fe1-514a-b740-872d8079f6de","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb601003c-7fe1-514a-b740-872d8079f6de","fullStatement":"use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student's city or another large city nearby;","alternativeLabel":"111.27.b.13.D use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student's city or another large city nearby;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.13.D","listEnumeration":"545","abbreviatedStatement":"use a family budget estimator to determine the minimum household budget and average hourly wage needed for a family to meet its basic needs in the student's city or another large city nearby;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"6096d199-cde5-53b0-b4d1-70a153b54038","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6096d199-cde5-53b0-b4d1-70a153b54038","fullStatement":"calculate and compare simple interest and compound interest earnings; and","alternativeLabel":"111.27.b.13.E calculate and compare simple interest and compound interest earnings; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.13.E","listEnumeration":"546","abbreviatedStatement":"calculate and compare simple interest and compound interest earnings; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:32+00:00"},{"identifier":"090804bb-71d0-5620-8e34-419806c10904","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems090804bb-71d0-5620-8e34-419806c10904","fullStatement":"analyze and compare monetary incentives, including sales, rebates, and coupons.","alternativeLabel":"111.27.b.13.F analyze and compare monetary incentives, including sales, rebates, and coupons.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.27.b.13.F","listEnumeration":"547","abbreviatedStatement":"analyze and compare monetary incentives, including sales, rebates, and coupons.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"a681bcdf-ac0c-5409-9ef8-b8546d355d33","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa681bcdf-ac0c-5409-9ef8-b8546d355d33","fullStatement":"Grade 8, Adopted 2012.","alternativeLabel":"111.28 Grade 8, Adopted 2012.","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.28","listEnumeration":"548","abbreviatedStatement":"Grade 8, Adopted 2012.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"431da29f-a320-5ad8-a9e1-a5a837dcb9bc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems431da29f-a320-5ad8-a9e1-a5a837dcb9bc","fullStatement":"Introduction.","alternativeLabel":"111.28.a Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.28.a","listEnumeration":"549","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"d065b410-9b94-5de0-af65-19514bbd9e91","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd065b410-9b94-5de0-af65-19514bbd9e91","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.28.a.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while fo","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.28.a.1","listEnumeration":"550","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on computational thinking, mathematical fluency, and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"8cc5ae36-68b0-5a45-b1d6-b4001b517e20","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8cc5ae36-68b0-5a45-b1d6-b4001b517e20","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.28.a.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standa","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.28.a.2","listEnumeration":"551","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, algorithms, paper and pencil, and technology and techniques such as mental math, estimation, number sense, and generalization and abstraction to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, computer programs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"e3080be3-53d4-5f22-aee4-7cdd16e12d60","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse3080be3-53d4-5f22-aee4-7cdd16e12d60","fullStatement":"The primary focal areas in Grade 8 are proportionality; expressions, equations, relationships, and foundations of functions; and measurement and data. Students use concepts, algorithms, and properties of real numbers to explore mathematical relationships and to describe increasingly complex situations. Students use concepts of proportionality to explore, develop, and communicate mathematical relationships. Students use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other. Students connect verbal, numeric, graphic, and symbolic representations of relationships, including equations and inequalities. Students begin to develop an understanding of functional relationships. Students use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems. Students communicate information about geometric figures or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems. Students use appropriate statistics, representations of data, and reasoning to draw conclusions, evaluate arguments, and make recommendations. While the use of all types of technology is important, the emphasis on algebra readiness skills necessitates the implementation of graphing technology.","alternativeLabel":"111.28.a.3 The primary focal areas in Grade 8 are proportionality; expressions, equations, relationships, and foundations of functions; and measurement and data. Students use concepts, algorithms, and properties of real numbers to explore mathematical rel","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.28.a.3","listEnumeration":"552","abbreviatedStatement":"The primary focal areas in Grade 8 are proportionality; expressions, equations, relationships, and foundations of functions; and measurement and data. Students use concepts, algorithms, and properties of real numbers to explore mathematical relationships and to describe increasingly complex situations. Students use concepts of proportionality to explore, develop, and communicate mathematical relationships. Students use algebraic thinking to describe how a change in one quantity in a relationship results in a change in the other. Students connect verbal, numeric, graphic, and symbolic representations of relationships, including equations and inequalities. Students begin to develop an understanding of functional relationships. Students use geometric properties and relationships, as well as spatial reasoning, to model and analyze situations and solve problems. Students communicate information about geometric figures or situations by quantifying attributes, generalize procedures from measurement experiences, and use the procedures to solve problems. Students use appropriate statistics, representations of data, and reasoning to draw conclusions, evaluate arguments, and make recommendations. While the use of all types of technology is important, the emphasis on algebra readiness skills necessitates the implementation of graphing technology.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"7fe98bc4-1016-5c7d-b21f-8692fe3a12c4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7fe98bc4-1016-5c7d-b21f-8692fe3a12c4","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.28.a.4 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.28.a.4","listEnumeration":"553","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"2c79bc83-68fa-586c-a429-febf1f3c2455","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2c79bc83-68fa-586c-a429-febf1f3c2455","fullStatement":"Knowledge and skills.","alternativeLabel":"111.28.b Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.28.b","listEnumeration":"554","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"db8f378a-9a89-5a25-8be3-e0cb47d5277e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdb8f378a-9a89-5a25-8be3-e0cb47d5277e","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.28.b.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.1","listEnumeration":"555","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"a817a0c8-13a8-5036-9243-674831c27ac6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa817a0c8-13a8-5036-9243-674831c27ac6","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.28.b.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.1.A","listEnumeration":"556","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"41940e45-b9a2-5c7c-b97a-d748615c1d74","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems41940e45-b9a2-5c7c-b97a-d748615c1d74","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.28.b.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.1.B","listEnumeration":"557","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"02c17cb0-5e16-5933-8aa6-8a183ecb227c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems02c17cb0-5e16-5933-8aa6-8a183ecb227c","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.28.b.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.1.C","listEnumeration":"558","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"a1e75842-ff2d-5c15-a7cb-2f98013598d9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa1e75842-ff2d-5c15-a7cb-2f98013598d9","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.28.b.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.1.D","listEnumeration":"559","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"cafe6b0f-e161-5aca-b1a4-8d867188caab","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscafe6b0f-e161-5aca-b1a4-8d867188caab","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.28.b.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.1.E","listEnumeration":"560","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"fc5a291a-dea5-5da5-869b-4366a29b246d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfc5a291a-dea5-5da5-869b-4366a29b246d","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.28.b.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.1.F","listEnumeration":"561","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:33+00:00"},{"identifier":"a14cff8a-75b8-54d5-ac97-18678d4d3d7f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa14cff8a-75b8-54d5-ac97-18678d4d3d7f","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.28.b.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.1.G","listEnumeration":"562","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"07eda276-71c9-5725-a335-4d8aafa99156","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems07eda276-71c9-5725-a335-4d8aafa99156","fullStatement":"Number and operations. The student applies mathematical process standards to represent and use real numbers in a variety of forms. The student is expected to:","alternativeLabel":"111.28.b.2 Number and operations. The student applies mathematical process standards to represent and use real numbers in a variety of forms. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.2","listEnumeration":"563","abbreviatedStatement":"Number and operations. The student applies mathematical process standards to represent and use real numbers in a variety of forms. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"d3202c19-11b9-58a3-9c42-173e5c8d135f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd3202c19-11b9-58a3-9c42-173e5c8d135f","fullStatement":"extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers;","alternativeLabel":"111.28.b.2.A extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.2.A","listEnumeration":"564","abbreviatedStatement":"extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of real numbers;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"e00d9bc7-ed65-5436-80b8-a1afcdba8403","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse00d9bc7-ed65-5436-80b8-a1afcdba8403","fullStatement":"approximate the value of an irrational number, including \u03c0 and square roots of numbers less than 225, and locate that rational number approximation on a number line;","alternativeLabel":"111.28.b.2.B approximate the value of an irrational number, including and square roots of numbers less than 225, and locate that rational number approximation on a number line;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.2.B","listEnumeration":"565","abbreviatedStatement":"approximate the value of an irrational number, including \u03c0 and square roots of numbers less than 225, and locate that rational number approximation on a number line;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"a8d8df10-6354-5ebc-beb8-769f3f9632bf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa8d8df10-6354-5ebc-beb8-769f3f9632bf","fullStatement":"convert between standard decimal notation and scientific notation; and","alternativeLabel":"111.28.b.2.C convert between standard decimal notation and scientific notation; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.2.C","listEnumeration":"566","abbreviatedStatement":"convert between standard decimal notation and scientific notation; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"922fe8fe-efe0-587f-91fc-59d253ccc043","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems922fe8fe-efe0-587f-91fc-59d253ccc043","fullStatement":"order a set of real numbers arising from mathematical and real-world contexts.","alternativeLabel":"111.28.b.2.D order a set of real numbers arising from mathematical and real-world contexts.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.2.D","listEnumeration":"567","abbreviatedStatement":"order a set of real numbers arising from mathematical and real-world contexts.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"36616434-6e97-5f9e-887c-a7f449e0a97e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems36616434-6e97-5f9e-887c-a7f449e0a97e","fullStatement":"Proportionality. The student applies mathematical process standards to use proportional relationships to describe dilations. The student is expected to:","alternativeLabel":"111.28.b.3 Proportionality. The student applies mathematical process standards to use proportional relationships to describe dilations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.3","listEnumeration":"568","abbreviatedStatement":"Proportionality. The student applies mathematical process standards to use proportional relationships to describe dilations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"eccc39c5-3694-57bd-9286-d20263774828","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemseccc39c5-3694-57bd-9286-d20263774828","fullStatement":"generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation;","alternativeLabel":"111.28.b.3.A generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.3.A","listEnumeration":"569","abbreviatedStatement":"generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"668a0360-9bcb-5d10-b4ef-07536be1f20e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems668a0360-9bcb-5d10-b4ef-07536be1f20e","fullStatement":"compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane; and","alternativeLabel":"111.28.b.3.B compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.3.B","listEnumeration":"570","abbreviatedStatement":"compare and contrast the attributes of a shape and its dilation(s) on a coordinate plane; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"231e4f01-148b-5991-b183-f8cc15ed395a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems231e4f01-148b-5991-b183-f8cc15ed395a","fullStatement":"use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.","alternativeLabel":"111.28.b.3.C use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.3.C","listEnumeration":"571","abbreviatedStatement":"use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"a220e4b9-5221-568c-a2b9-d78d7d21b097","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa220e4b9-5221-568c-a2b9-d78d7d21b097","fullStatement":"Proportionality. The student applies mathematical process standards to explain proportional and non-proportional relationships involving slope. The student is expected to:","alternativeLabel":"111.28.b.4 Proportionality. The student applies mathematical process standards to explain proportional and non-proportional relationships involving slope. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.4","listEnumeration":"572","abbreviatedStatement":"Proportionality. The student applies mathematical process standards to explain proportional and non-proportional relationships involving slope. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"01dc884e-5543-5ad5-a249-28470519f542","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems01dc884e-5543-5ad5-a249-28470519f542","fullStatement":"use similar right triangles to develop an understanding that slope, $m$, given as the rate comparing the change in $y$-values to the change in $x$-values, $(y_2 - y_1)/(x_2 - x_1)$, is the same for any two points $(x_1, y_1)$ and $(x_2, y_2)$ on the same line;","alternativeLabel":"111.28.b.4.A use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y2 - y1)/ (x2 - x1), is the same for any two points (x1, y1) and (x2, y2) on the same line;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.4.A","listEnumeration":"573","abbreviatedStatement":"use similar right triangles to develop an understanding that slope, m, given as the rate comparing the change in y-values to the change in x-values, (y2 - y1)/ (x2 - x1), is the same for any two points (x1, y1) and (x2, y2) on the same line;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"c2f730e0-d229-5beb-bd1e-711ba7db03a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc2f730e0-d229-5beb-bd1e-711ba7db03a4","fullStatement":"graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship; and","alternativeLabel":"111.28.b.4.B graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.4.B","listEnumeration":"574","abbreviatedStatement":"graph proportional relationships, interpreting the unit rate as the slope of the line that models the relationship; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"b8f9170f-c555-50ed-a759-bba78f37a923","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb8f9170f-c555-50ed-a759-bba78f37a923","fullStatement":"use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.","alternativeLabel":"111.28.b.4.C use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.4.C","listEnumeration":"575","abbreviatedStatement":"use data from a table or graph to determine the rate of change or slope and y-intercept in mathematical and real-world problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"774388c2-4baa-5843-80d1-b29db6d5e66e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems774388c2-4baa-5843-80d1-b29db6d5e66e","fullStatement":"Proportionality. The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions. The student is expected to:","alternativeLabel":"111.28.b.5 Proportionality. The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.5","listEnumeration":"576","abbreviatedStatement":"Proportionality. The student applies mathematical process standards to use proportional and non-proportional relationships to develop foundational concepts of functions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"a2329209-423e-5b39-a83b-645926ba4320","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa2329209-423e-5b39-a83b-645926ba4320","fullStatement":"represent linear proportional situations with tables, graphs, and equations in the form of $y = kx$;","alternativeLabel":"111.28.b.5.A represent linear proportional situations with tables, graphs, and equations in the form of y = kx;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.5.A","listEnumeration":"577","abbreviatedStatement":"represent linear proportional situations with tables, graphs, and equations in the form of y = kx;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"31ebfa82-0a3f-50d9-8629-5a04434b8242","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems31ebfa82-0a3f-50d9-8629-5a04434b8242","fullStatement":"represent linear non-proportional situations with tables, graphs, and equations in the form of $y = mx + b$, where $b \\not = 0$;","alternativeLabel":"111.28.b.5.B represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b 0;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.5.B","listEnumeration":"578","abbreviatedStatement":"represent linear non-proportional situations with tables, graphs, and equations in the form of y = mx + b, where b \u2260 0;","language":"en","statusStartDate":"2019-08-26","statusEndDate":"2019-08-26","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"a8c05f85-71a2-520d-958a-3a133b26452a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa8c05f85-71a2-520d-958a-3a133b26452a","fullStatement":"contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation;","alternativeLabel":"111.28.b.5.C contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.5.C","listEnumeration":"579","abbreviatedStatement":"contrast bivariate sets of data that suggest a linear relationship with bivariate sets of data that do not suggest a linear relationship from a graphical representation;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"05f5a5b3-e613-5ff9-8375-bec56f8003d4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems05f5a5b3-e613-5ff9-8375-bec56f8003d4","fullStatement":"use a trend line that approximates the linear relationship between bivariate sets of data to make predictions;","alternativeLabel":"111.28.b.5.D use a trend line that approximates the linear relationship between bivariate sets of data to make predictions;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.5.D","listEnumeration":"580","abbreviatedStatement":"use a trend line that approximates the linear relationship between bivariate sets of data to make predictions;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"a44bf596-067d-5c82-90fe-bb4300b0a795","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa44bf596-067d-5c82-90fe-bb4300b0a795","fullStatement":"solve problems involving direct variation;","alternativeLabel":"111.28.b.5.E solve problems involving direct variation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.5.E","listEnumeration":"581","abbreviatedStatement":"solve problems involving direct variation;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"13b0638c-bbb4-526c-909d-90c8316bd343","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems13b0638c-bbb4-526c-909d-90c8316bd343","fullStatement":"distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form $y = kx$ or $y = mx + b$, where $b \\not = 0$;","alternativeLabel":"111.28.b.5.F distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b 0;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.5.F","listEnumeration":"582","abbreviatedStatement":"distinguish between proportional and non-proportional situations using tables, graphs, and equations in the form y = kx or y = mx + b, where b \u2260 0;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"bc049740-0f4f-59f0-a975-d89d1a5de84d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbc049740-0f4f-59f0-a975-d89d1a5de84d","fullStatement":"identify functions using sets of ordered pairs, tables, mappings, and graphs;","alternativeLabel":"111.28.b.5.G identify functions using sets of ordered pairs, tables, mappings, and graphs;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.5.G","listEnumeration":"583","abbreviatedStatement":"identify functions using sets of ordered pairs, tables, mappings, and graphs;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"e8e2fd48-9cc3-5e67-a0e6-eebf2f68a2e8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse8e2fd48-9cc3-5e67-a0e6-eebf2f68a2e8","fullStatement":"identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems; and","alternativeLabel":"111.28.b.5.H identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.5.H","listEnumeration":"584","abbreviatedStatement":"identify examples of proportional and non-proportional functions that arise from mathematical and real-world problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"2078c9ca-a5b1-5fe3-ad0a-86683d882e13","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2078c9ca-a5b1-5fe3-ad0a-86683d882e13","fullStatement":"write an equation in the form $y = mx + b$ to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.","alternativeLabel":"111.28.b.5.I write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.5.I","listEnumeration":"585","abbreviatedStatement":"write an equation in the form y = mx + b to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"26a5d9b1-85c5-5d9c-9c7b-6da79e6e56f8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems26a5d9b1-85c5-5d9c-9c7b-6da79e6e56f8","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to develop mathematical relationships and make connections to geometric formulas. The student is expected to:","alternativeLabel":"111.28.b.6 Expressions, equations, and relationships. The student applies mathematical process standards to develop mathematical relationships and make connections to geometric formulas. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.6","listEnumeration":"586","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to develop mathematical relationships and make connections to geometric formulas. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"a1c440f6-c0e9-550c-a668-7469596438ac","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa1c440f6-c0e9-550c-a668-7469596438ac","fullStatement":"describe the volume formula $V = Bh$ of a cylinder in terms of its base area and its height;","alternativeLabel":"111.28.b.6.A describe the volume formula V = Bh of a cylinder in terms of its base area and its height;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.6.A","listEnumeration":"587","abbreviatedStatement":"describe the volume formula V = Bh of a cylinder in terms of its base area and its height;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"9b0af610-2e7d-51d4-89e5-a9ef2cfa8094","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9b0af610-2e7d-51d4-89e5-a9ef2cfa8094","fullStatement":"model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas; and","alternativeLabel":"111.28.b.6.B model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.6.B","listEnumeration":"588","abbreviatedStatement":"model the relationship between the volume of a cylinder and a cone having both congruent bases and heights and connect that relationship to the formulas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:34+00:00"},{"identifier":"2fed9d72-0807-5a75-9299-3d0c17255a76","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2fed9d72-0807-5a75-9299-3d0c17255a76","fullStatement":"use models and diagrams to explain the Pythagorean theorem.","alternativeLabel":"111.28.b.6.C use models and diagrams to explain the Pythagorean theorem.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.6.C","listEnumeration":"589","abbreviatedStatement":"use models and diagrams to explain the Pythagorean theorem.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"bfd9bc82-e7b4-56f9-82eb-3b1c2338e228","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbfd9bc82-e7b4-56f9-82eb-3b1c2338e228","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use geometry to solve problems. The student is expected to:","alternativeLabel":"111.28.b.7 Expressions, equations, and relationships. The student applies mathematical process standards to use geometry to solve problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.7","listEnumeration":"590","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use geometry to solve problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"df07cb7b-62af-54e7-a1cf-5c6ca76af39e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdf07cb7b-62af-54e7-a1cf-5c6ca76af39e","fullStatement":"solve problems involving the volume of cylinders, cones, and spheres;","alternativeLabel":"111.28.b.7.A solve problems involving the volume of cylinders, cones, and spheres;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.7.A","listEnumeration":"591","abbreviatedStatement":"solve problems involving the volume of cylinders, cones, and spheres;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"0b699d11-28bf-56e2-98ac-25494680db42","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0b699d11-28bf-56e2-98ac-25494680db42","fullStatement":"use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders;","alternativeLabel":"111.28.b.7.B use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.7.B","listEnumeration":"592","abbreviatedStatement":"use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"ecce62e5-e74f-526e-aec7-850f210f9985","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsecce62e5-e74f-526e-aec7-850f210f9985","fullStatement":"use the Pythagorean Theorem and its converse to solve problems; and","alternativeLabel":"111.28.b.7.C use the Pythagorean Theorem and its converse to solve problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.7.C","listEnumeration":"593","abbreviatedStatement":"use the Pythagorean Theorem and its converse to solve problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"16c708eb-2fc1-56a1-862a-dd6e50016626","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems16c708eb-2fc1-56a1-862a-dd6e50016626","fullStatement":"determine the distance between two points on a coordinate plane using the Pythagorean Theorem.","alternativeLabel":"111.28.b.7.D determine the distance between two points on a coordinate plane using the Pythagorean Theorem.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.7.D","listEnumeration":"594","abbreviatedStatement":"determine the distance between two points on a coordinate plane using the Pythagorean Theorem.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"af8d92ae-28ec-5451-a7e3-c666ea91722c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsaf8d92ae-28ec-5451-a7e3-c666ea91722c","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations or inequalities in problem situations. The student is expected to:","alternativeLabel":"111.28.b.8 Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations or inequalities in problem situations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.8","listEnumeration":"595","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use one-variable equations or inequalities in problem situations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"370f1acc-9b44-5306-99c9-3db495e29e3a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems370f1acc-9b44-5306-99c9-3db495e29e3a","fullStatement":"write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants;","alternativeLabel":"111.28.b.8.A write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.8.A","listEnumeration":"596","abbreviatedStatement":"write one-variable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"2933fc4b-6b82-548d-aaad-2bdeebc861a8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2933fc4b-6b82-548d-aaad-2bdeebc861a8","fullStatement":"write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants;","alternativeLabel":"111.28.b.8.B write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.8.B","listEnumeration":"597","abbreviatedStatement":"write a corresponding real-world problem when given a one-variable equation or inequality with variables on both sides of the equal sign using rational number coefficients and constants;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"3be20858-29e8-5c1f-952d-edaed19ed565","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3be20858-29e8-5c1f-952d-edaed19ed565","fullStatement":"model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants; and","alternativeLabel":"111.28.b.8.C model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.8.C","listEnumeration":"598","abbreviatedStatement":"model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"7341cde7-45b5-5155-8712-2188057145c5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7341cde7-45b5-5155-8712-2188057145c5","fullStatement":"use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.","alternativeLabel":"111.28.b.8.D use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.8.D","listEnumeration":"599","abbreviatedStatement":"use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"4a4233b8-6288-57f7-8b1e-b1a0bfc3c287","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4a4233b8-6288-57f7-8b1e-b1a0bfc3c287","fullStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use multiple representations to develop foundational concepts of simultaneous linear equations. The student is expected to identify and verify the values of $x$ and y that simultaneously satisfy two linear equations in the form $y = mx + b$ from the intersections of the graphed equations.","alternativeLabel":"111.28.b.9 Expressions, equations, and relationships. The student applies mathematical process standards to use multiple representations to develop foundational concepts of simultaneous linear equations. The student is expected to identify and verify the ","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.9","listEnumeration":"600","abbreviatedStatement":"Expressions, equations, and relationships. The student applies mathematical process standards to use multiple representations to develop foundational concepts of simultaneous linear equations. The student is expected to identify and verify the values of x and y that simultaneously satisfy two linear equations in the form y = mx + b from the intersections of the graphed equations.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"4061706a-1a19-5be0-bb1a-e697b81520b6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4061706a-1a19-5be0-bb1a-e697b81520b6","fullStatement":"Two-dimensional shapes. The student applies mathematical process standards to develop transformational geometry concepts. The student is expected to:","alternativeLabel":"111.28.b.10 Two-dimensional shapes. The student applies mathematical process standards to develop transformational geometry concepts. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.10","listEnumeration":"601","abbreviatedStatement":"Two-dimensional shapes. The student applies mathematical process standards to develop transformational geometry concepts. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"2d943986-c8e0-5567-a135-c78a0540e9bc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2d943986-c8e0-5567-a135-c78a0540e9bc","fullStatement":"generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;","alternativeLabel":"111.28.b.10.A generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.10.A","listEnumeration":"602","abbreviatedStatement":"generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:35+00:00"},{"identifier":"c01bc64c-9a5b-5ef8-bc00-3591ee3e9851","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc01bc64c-9a5b-5ef8-bc00-3591ee3e9851","fullStatement":"differentiate between transformations that preserve congruence and those that do not;","alternativeLabel":"111.28.b.10.B differentiate between transformations that preserve congruence and those that do not;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.10.B","listEnumeration":"603","abbreviatedStatement":"differentiate between transformations that preserve congruence and those that do not;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"c3b8064e-c894-5bfb-83d5-80d413a3cae0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc3b8064e-c894-5bfb-83d5-80d413a3cae0","fullStatement":"explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90\u00b0, 180\u00b0, 270\u00b0, and 360\u00b0 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and","alternativeLabel":"111.28.b.10.C explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90, 180, 270, and 360 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.10.C","listEnumeration":"604","abbreviatedStatement":"explain the effect of translations, reflections over the x- or y-axis, and rotations limited to 90\u00b0, 180\u00b0, 270\u00b0, and 360\u00b0 as applied to two-dimensional shapes on a coordinate plane using an algebraic representation; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"cfba9efb-1d74-506f-8105-312165a821e2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscfba9efb-1d74-506f-8105-312165a821e2","fullStatement":"model the effect on linear and area measurements of dilated two-dimensional shapes.","alternativeLabel":"111.28.b.10.D model the effect on linear and area measurements of dilated two-dimensional shapes.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.10.D","listEnumeration":"605","abbreviatedStatement":"model the effect on linear and area measurements of dilated two-dimensional shapes.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"8c7cc308-3ff4-5dae-ba4a-f87f909a36f5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8c7cc308-3ff4-5dae-ba4a-f87f909a36f5","fullStatement":"Measurement and data. The student applies mathematical process standards to use statistical procedures to describe data. The student is expected to:","alternativeLabel":"111.28.b.11 Measurement and data. The student applies mathematical process standards to use statistical procedures to describe data. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.11","listEnumeration":"606","abbreviatedStatement":"Measurement and data. The student applies mathematical process standards to use statistical procedures to describe data. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"103060ab-6d5e-5d54-abac-8557c107bca9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems103060ab-6d5e-5d54-abac-8557c107bca9","fullStatement":"construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data;","alternativeLabel":"111.28.b.11.A construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.11.A","listEnumeration":"607","abbreviatedStatement":"construct a scatterplot and describe the observed data to address questions of association such as linear, non-linear, and no association between bivariate data;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"921c7461-c89c-5ea9-84f7-624932b6133b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems921c7461-c89c-5ea9-84f7-624932b6133b","fullStatement":"determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points; and","alternativeLabel":"111.28.b.11.B determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.11.B","listEnumeration":"608","abbreviatedStatement":"determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"ac05574c-5b90-5a1b-91b6-0a24d43b8ca6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsac05574c-5b90-5a1b-91b6-0a24d43b8ca6","fullStatement":"simulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample being representative of the population from which it was selected.","alternativeLabel":"111.28.b.11.C simulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample being representative of the population from which it was selected.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.11.C","listEnumeration":"609","abbreviatedStatement":"simulate generating random samples of the same size from a population with known characteristics to develop the notion of a random sample being representative of the population from which it was selected.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"1aa7017a-9458-5661-a67c-09252e32e92f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1aa7017a-9458-5661-a67c-09252e32e92f","fullStatement":"Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. The student is expected to:","alternativeLabel":"111.28.b.12 Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.28.b.12","listEnumeration":"610","abbreviatedStatement":"Personal financial literacy. The student applies mathematical process standards to develop an economic way of thinking and problem solving useful in one's life as a knowledgeable consumer and investor. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"221020e9-0637-5eaa-bde9-53103bc4d6c0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems221020e9-0637-5eaa-bde9-53103bc4d6c0","fullStatement":"solve real-world problems comparing how interest rate and loan length affect the cost of credit;","alternativeLabel":"111.28.b.12.A solve real-world problems comparing how interest rate and loan length affect the cost of credit;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.12.A","listEnumeration":"611","abbreviatedStatement":"solve real-world problems comparing how interest rate and loan length affect the cost of credit;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"3e3b2703-96bc-5df4-9d16-c04d041c7654","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3e3b2703-96bc-5df4-9d16-c04d041c7654","fullStatement":"calculate the total cost of repaying a loan, including credit cards and easy access loans, under various rates of interest and over different periods using an online calculator;","alternativeLabel":"111.28.b.12.B calculate the total cost of repaying a loan, including credit cards and easy access loans, under various rates of interest and over different periods using an online calculator;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.12.B","listEnumeration":"612","abbreviatedStatement":"calculate the total cost of repaying a loan, including credit cards and easy access loans, under various rates of interest and over different periods using an online calculator;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"c93336e5-547e-5992-9a5d-605b545789a8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc93336e5-547e-5992-9a5d-605b545789a8","fullStatement":"explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time;","alternativeLabel":"111.28.b.12.C explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.12.C","listEnumeration":"613","abbreviatedStatement":"explain how small amounts of money invested regularly, including money saved for college and retirement, grow over time;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"06efffb9-9a30-5090-86c1-14e2ddd3afae","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems06efffb9-9a30-5090-86c1-14e2ddd3afae","fullStatement":"calculate and compare simple interest and compound interest earnings;","alternativeLabel":"111.28.b.12.D calculate and compare simple interest and compound interest earnings;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.12.D","listEnumeration":"614","abbreviatedStatement":"calculate and compare simple interest and compound interest earnings;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"79b716d5-8af8-50cc-b7af-c1de95a7c7e3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems79b716d5-8af8-50cc-b7af-c1de95a7c7e3","fullStatement":"identify and explain the advantages and disadvantages of different payment methods;","alternativeLabel":"111.28.b.12.E identify and explain the advantages and disadvantages of different payment methods;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.12.E","listEnumeration":"615","abbreviatedStatement":"identify and explain the advantages and disadvantages of different payment methods;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"5527e746-cbde-5feb-8a49-a41d12f1bc69","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5527e746-cbde-5feb-8a49-a41d12f1bc69","fullStatement":"analyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility; and","alternativeLabel":"111.28.b.12.F analyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.12.F","listEnumeration":"616","abbreviatedStatement":"analyze situations to determine if they represent financially responsible decisions and identify the benefits of financial responsibility and the costs of financial irresponsibility; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"b00113f8-86a2-5952-ab6a-d41d3beb18ff","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb00113f8-86a2-5952-ab6a-d41d3beb18ff","fullStatement":"estimate the cost of a two-year and four-year college education, including family contribution, and devise a periodic savings plan for accumulating the money needed to contribute to the total cost of attendance for at least the first year of college.","alternativeLabel":"111.28.b.12.G estimate the cost of a two-year and four-year college education, including family contribution, and devise a periodic savings plan for accumulating the money needed to contribute to the total cost of attendance for at least the first year of","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.28.b.12.G","listEnumeration":"617","abbreviatedStatement":"estimate the cost of a two-year and four-year college education, including family contribution, and devise a periodic savings plan for accumulating the money needed to contribute to the total cost of attendance for at least the first year of college.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"f2d3f31c-b6b5-50dc-ae77-6ef010615651","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf2d3f31c-b6b5-50dc-ae77-6ef010615651","fullStatement":"Subchapter C. High School","alternativeLabel":"111 Subchapter C. High School","CFItemType":"Subchapter","CFItemTypeURI":{"title":"Subchapter","identifier":"10360063-4899-4c48-8b15-d1248bd262cf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/10360063-4899-4c48-8b15-d1248bd262cf"},"humanCodingScheme":"111","listEnumeration":"618","abbreviatedStatement":"Subchapter C. High School","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"5285c5a0-9668-5005-b4b4-487f367c9238","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5285c5a0-9668-5005-b4b4-487f367c9238","fullStatement":"Algebra I, Adopted 2012 (One Credit).","alternativeLabel":"111.39 Algebra I, Adopted 2012 (One Credit).","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.39","listEnumeration":"619","abbreviatedStatement":"Algebra I, Adopted 2012 (One Credit).","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"ec5c3c09-f4f6-5c79-834a-c920366c752a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsec5c3c09-f4f6-5c79-834a-c920366c752a","fullStatement":"General requirements. Students shall be awarded one credit for successful completion of this course. This course is recommended for students in Grade 8 or 9. Prerequisite: Mathematics, Grade 8 or its equivalent.","alternativeLabel":"111.39.a General requirements. Students shall be awarded one credit for successful completion of this course. This course is recommended for students in Grade 8 or 9. Prerequisite: Mathematics, Grade 8 or its equivalent.","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"1a8b85de-3794-4493-8f66-b6a630235254","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/1a8b85de-3794-4493-8f66-b6a630235254"},"humanCodingScheme":"111.39.a","listEnumeration":"620","abbreviatedStatement":"General requirements. Students shall be awarded one credit for successful completion of this course. This course is recommended for students in Grade 8 or 9. Prerequisite: Mathematics, Grade 8 or its equivalent.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"c4aabede-c7bf-5498-b98e-8360795a8c53","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc4aabede-c7bf-5498-b98e-8360795a8c53","fullStatement":"Introduction.","alternativeLabel":"111.39.b Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.39.b","listEnumeration":"621","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"d347870d-10fe-568a-b198-473e6919e8eb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd347870d-10fe-568a-b198-473e6919e8eb","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.39.b.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while fo","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.39.b.1","listEnumeration":"622","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"8937d59f-3a36-5e52-a35d-559e060242d3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8937d59f-3a36-5e52-a35d-559e060242d3","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.39.b.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standa","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.39.b.2","listEnumeration":"623","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"a27b8bc9-8f68-573d-b4d1-c44103604f5d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa27b8bc9-8f68-573d-b4d1-c44103604f5d","fullStatement":"In Algebra I, students will build on the knowledge and skills for mathematics in Grades 6-8, which provide a foundation in linear relationships, number and operations, and proportionality. Students will study linear, quadratic, and exponential functions and their related transformations, equations, and associated solutions. Students will connect functions and their associated solutions in both mathematical and real-world situations. Students will use technology to collect and explore data and analyze statistical relationships. In addition, students will study polynomials of degree one and two, radical expressions, sequences, and laws of exponents. Students will generate and solve linear systems with two equations and two variables and will create new functions through transformations.","alternativeLabel":"111.39.b.3 In Algebra I, students will build on the knowledge and skills for mathematics in Grades 6-8, which provide a foundation in linear relationships, number and operations, and proportionality. Students will study linear, quadratic, and exponential ","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.39.b.3","listEnumeration":"624","abbreviatedStatement":"In Algebra I, students will build on the knowledge and skills for mathematics in Grades 6-8, which provide a foundation in linear relationships, number and operations, and proportionality. Students will study linear, quadratic, and exponential functions and their related transformations, equations, and associated solutions. Students will connect functions and their associated solutions in both mathematical and real-world situations. Students will use technology to collect and explore data and analyze statistical relationships. In addition, students will study polynomials of degree one and two, radical expressions, sequences, and laws of exponents. Students will generate and solve linear systems with two equations and two variables and will create new functions through transformations.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"aa893b31-55fe-5daf-9595-78e2dff54233","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsaa893b31-55fe-5daf-9595-78e2dff54233","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.39.b.4 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.39.b.4","listEnumeration":"625","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"d0536df2-b0cb-580d-9680-b3fd699d1d8f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd0536df2-b0cb-580d-9680-b3fd699d1d8f","fullStatement":"Knowledge and skills.","alternativeLabel":"111.39.c Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.39.c","listEnumeration":"626","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"db93a966-6c07-5e20-aee8-5ef8439ee61f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdb93a966-6c07-5e20-aee8-5ef8439ee61f","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.39.c.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.1","listEnumeration":"627","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"3b53a2f3-41c0-500e-a5c3-de6050e59842","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3b53a2f3-41c0-500e-a5c3-de6050e59842","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.39.c.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.1.A","listEnumeration":"628","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"9d77a8a4-72a8-5561-9c5b-8e7f5a2310f4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9d77a8a4-72a8-5561-9c5b-8e7f5a2310f4","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.39.c.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.1.B","listEnumeration":"629","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:37+00:00"},{"identifier":"36114a24-44e9-54df-bc88-7a72acdcc1b6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems36114a24-44e9-54df-bc88-7a72acdcc1b6","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.39.c.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.1.C","listEnumeration":"630","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"81a8f1c4-b22c-5e1b-b9ed-5823d10d61b8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems81a8f1c4-b22c-5e1b-b9ed-5823d10d61b8","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.39.c.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.1.D","listEnumeration":"631","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"683f73d1-6eed-5ebf-8fb3-efbe7d85e503","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems683f73d1-6eed-5ebf-8fb3-efbe7d85e503","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.39.c.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.1.E","listEnumeration":"632","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"1d466abe-2855-50ea-9325-82e65976433c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1d466abe-2855-50ea-9325-82e65976433c","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.39.c.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.1.F","listEnumeration":"633","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"ac6f8ad2-ccc2-5562-8f5f-561e8bba0a53","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsac6f8ad2-ccc2-5562-8f5f-561e8bba0a53","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.39.c.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.1.G","listEnumeration":"634","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"7e02a4f7-be99-5915-bfae-9672450a3d20","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7e02a4f7-be99-5915-bfae-9672450a3d20","fullStatement":"Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations. The student is expected to:","alternativeLabel":"111.39.c.2 Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.2","listEnumeration":"635","abbreviatedStatement":"Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"61871339-f16e-5d39-b93e-949c3f79375a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems61871339-f16e-5d39-b93e-949c3f79375a","fullStatement":"determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities;","alternativeLabel":"111.39.c.2.A determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.2.A","listEnumeration":"636","abbreviatedStatement":"determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"45e1c534-9a8a-5a7c-8a25-abd615caafb0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems45e1c534-9a8a-5a7c-8a25-abd615caafb0","fullStatement":"write linear equations in two variables in various forms, including $y = mx + b$, $Ax + By = C$, and $y - y_1= m(x - x_1)$, given one point and the slope and given two points;","alternativeLabel":"111.39.c.2.B write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1= m(x - x1), given one point and the slope and given two points;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.2.B","listEnumeration":"637","abbreviatedStatement":"write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y - y1= m(x - x1), given one point and the slope and given two points;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"15afa70a-a5cd-512d-9586-6fb3aaa71e0c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems15afa70a-a5cd-512d-9586-6fb3aaa71e0c","fullStatement":"write linear equations in two variables given a table of values, a graph, and a verbal description;","alternativeLabel":"111.39.c.2.C write linear equations in two variables given a table of values, a graph, and a verbal description;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.2.C","listEnumeration":"638","abbreviatedStatement":"write linear equations in two variables given a table of values, a graph, and a verbal description;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"f2ae5503-7143-534f-80bb-d5319f399427","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf2ae5503-7143-534f-80bb-d5319f399427","fullStatement":"write and solve equations involving direct variation;","alternativeLabel":"111.39.c.2.D write and solve equations involving direct variation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.2.D","listEnumeration":"639","abbreviatedStatement":"write and solve equations involving direct variation;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"779ab47e-31c6-5e7d-800f-cdb14940fa90","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems779ab47e-31c6-5e7d-800f-cdb14940fa90","fullStatement":"write the equation of a line that contains a given point and is parallel to a given line;","alternativeLabel":"111.39.c.2.E write the equation of a line that contains a given point and is parallel to a given line;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.2.E","listEnumeration":"640","abbreviatedStatement":"write the equation of a line that contains a given point and is parallel to a given line;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"f6b1b19a-ef82-5436-98d7-a69840033caf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf6b1b19a-ef82-5436-98d7-a69840033caf","fullStatement":"write the equation of a line that contains a given point and is perpendicular to a given line;","alternativeLabel":"111.39.c.2.F write the equation of a line that contains a given point and is perpendicular to a given line;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.2.F","listEnumeration":"641","abbreviatedStatement":"write the equation of a line that contains a given point and is perpendicular to a given line;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"aa1373bb-8af2-511f-9623-f76b329570b4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsaa1373bb-8af2-511f-9623-f76b329570b4","fullStatement":"write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined;","alternativeLabel":"111.39.c.2.G write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.2.G","listEnumeration":"642","abbreviatedStatement":"write an equation of a line that is parallel or perpendicular to the X or Y axis and determine whether the slope of the line is zero or undefined;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"049d88a4-2acc-5ede-b592-16bd767a2549","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems049d88a4-2acc-5ede-b592-16bd767a2549","fullStatement":"write linear inequalities in two variables given a table of values, a graph, and a verbal description; and","alternativeLabel":"111.39.c.2.H write linear inequalities in two variables given a table of values, a graph, and a verbal description; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.2.H","listEnumeration":"643","abbreviatedStatement":"write linear inequalities in two variables given a table of values, a graph, and a verbal description; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:38+00:00"},{"identifier":"43db79a6-1853-5ddd-bbc2-56c2374f1799","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems43db79a6-1853-5ddd-bbc2-56c2374f1799","fullStatement":"write systems of two linear equations given a table of values, a graph, and a verbal description.","alternativeLabel":"111.39.c.2.I write systems of two linear equations given a table of values, a graph, and a verbal description.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.2.I","listEnumeration":"644","abbreviatedStatement":"write systems of two linear equations given a table of values, a graph, and a verbal description.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"66ef3471-09cf-50d0-9469-506460b9f9f0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems66ef3471-09cf-50d0-9469-506460b9f9f0","fullStatement":"Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. The student is expected to:","alternativeLabel":"111.39.c.3 Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without tec","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.3","listEnumeration":"645","abbreviatedStatement":"Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"0ac7ae3b-f0c3-547f-b68d-a6bb162d6b28","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0ac7ae3b-f0c3-547f-b68d-a6bb162d6b28","fullStatement":"determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including $y = mx + b$, $Ax + By = C$, and $y - y_1= m(x - x_1)$;","alternativeLabel":"111.39.c.3.A determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y - y1= m(x - x1);","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.3.A","listEnumeration":"646","abbreviatedStatement":"determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y - y1= m(x - x1);","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"52b4b9b4-002d-50d8-b7b4-dfa1ac555ef0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems52b4b9b4-002d-50d8-b7b4-dfa1ac555ef0","fullStatement":"calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems;","alternativeLabel":"111.39.c.3.B calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.3.B","listEnumeration":"647","abbreviatedStatement":"calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"a88cfd47-d05b-5284-a6d6-0f89f439ed7a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa88cfd47-d05b-5284-a6d6-0f89f439ed7a","fullStatement":"graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems;","alternativeLabel":"111.39.c.3.C graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.3.C","listEnumeration":"648","abbreviatedStatement":"graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"f77dc072-6954-51ca-ba17-370f02ef6bf3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf77dc072-6954-51ca-ba17-370f02ef6bf3","fullStatement":"graph the solution set of linear inequalities in two variables on the coordinate plane;","alternativeLabel":"111.39.c.3.D graph the solution set of linear inequalities in two variables on the coordinate plane;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.3.D","listEnumeration":"649","abbreviatedStatement":"graph the solution set of linear inequalities in two variables on the coordinate plane;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"fc95a2e6-ee9b-59b4-b1ed-8be4d5c73f16","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfc95a2e6-ee9b-59b4-b1ed-8be4d5c73f16","fullStatement":"determine the effects on the graph of the parent function $f(x) = x$ when $f(x)$ is replaced by $af(x$), $f(x) + d$, $f(x - c)$, $f(bx)$ for specific values of $a$, $b$, $c$, and $d$;","alternativeLabel":"111.39.c.3.E determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.3.E","listEnumeration":"650","abbreviatedStatement":"determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"dd5d7789-1f47-52ff-8f7e-b7b90a75fb09","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdd5d7789-1f47-52ff-8f7e-b7b90a75fb09","fullStatement":"graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist;","alternativeLabel":"111.39.c.3.F graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.3.F","listEnumeration":"651","abbreviatedStatement":"graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"416640b1-38ee-57d7-80b1-978e43e590ed","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems416640b1-38ee-57d7-80b1-978e43e590ed","fullStatement":"estimate graphically the solutions to systems of two linear equations with two variables in real-world problems; and","alternativeLabel":"111.39.c.3.G estimate graphically the solutions to systems of two linear equations with two variables in real-world problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.3.G","listEnumeration":"652","abbreviatedStatement":"estimate graphically the solutions to systems of two linear equations with two variables in real-world problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"7751e72d-57aa-5e8c-91a8-f7b381fe209c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7751e72d-57aa-5e8c-91a8-f7b381fe209c","fullStatement":"graph the solution set of systems of two linear inequalities in two variables on the coordinate plane.","alternativeLabel":"111.39.c.3.H graph the solution set of systems of two linear inequalities in two variables on the coordinate plane.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.3.H","listEnumeration":"653","abbreviatedStatement":"graph the solution set of systems of two linear inequalities in two variables on the coordinate plane.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"48166635-7f3e-5c3b-b78e-ce3032b800c4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems48166635-7f3e-5c3b-b78e-ce3032b800c4","fullStatement":"Linear functions, equations, and inequalities. The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on real-world data. The student is expected to:","alternativeLabel":"111.39.c.4 Linear functions, equations, and inequalities. The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on real-world data. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.4","listEnumeration":"654","abbreviatedStatement":"Linear functions, equations, and inequalities. The student applies the mathematical process standards to formulate statistical relationships and evaluate their reasonableness based on real-world data. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"9162b0e7-5695-5c9e-a05e-c39604c30347","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9162b0e7-5695-5c9e-a05e-c39604c30347","fullStatement":"calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association;","alternativeLabel":"111.39.c.4.A calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.4.A","listEnumeration":"655","abbreviatedStatement":"calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"b0a5b7f3-c103-5933-96ff-bcdb3c6fba0e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb0a5b7f3-c103-5933-96ff-bcdb3c6fba0e","fullStatement":"compare and contrast association and causation in real-world problems; and","alternativeLabel":"111.39.c.4.B compare and contrast association and causation in real-world problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.4.B","listEnumeration":"656","abbreviatedStatement":"compare and contrast association and causation in real-world problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"c6167c81-1b38-524b-bc45-5efbc4ed28bd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc6167c81-1b38-524b-bc45-5efbc4ed28bd","fullStatement":"write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.","alternativeLabel":"111.39.c.4.C write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.4.C","listEnumeration":"657","abbreviatedStatement":"write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"16602a56-ef4a-519b-a4bc-09b476d8d04b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems16602a56-ef4a-519b-a4bc-09b476d8d04b","fullStatement":"Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions. The student is expected to:","alternativeLabel":"111.39.c.5 Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.5","listEnumeration":"658","abbreviatedStatement":"Linear functions, equations, and inequalities. The student applies the mathematical process standards to solve, with and without technology, linear equations and evaluate the reasonableness of their solutions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"f2978b80-66c9-530f-bcb2-53d438f51304","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf2978b80-66c9-530f-bcb2-53d438f51304","fullStatement":"solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides;","alternativeLabel":"111.39.c.5.A solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.5.A","listEnumeration":"659","abbreviatedStatement":"solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"df61220a-1ee4-577d-a071-714d99d8dd72","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdf61220a-1ee4-577d-a071-714d99d8dd72","fullStatement":"solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides; and","alternativeLabel":"111.39.c.5.B solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.5.B","listEnumeration":"660","abbreviatedStatement":"solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"9e41d579-da8d-5f3f-9583-077c17c07c22","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9e41d579-da8d-5f3f-9583-077c17c07c22","fullStatement":"solve systems of two linear equations with two variables for mathematical and real-world problems.","alternativeLabel":"111.39.c.5.C solve systems of two linear equations with two variables for mathematical and real-world problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.5.C","listEnumeration":"661","abbreviatedStatement":"solve systems of two linear equations with two variables for mathematical and real-world problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"6eda9392-851a-5b54-8cf5-c84b8ba5f02a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6eda9392-851a-5b54-8cf5-c84b8ba5f02a","fullStatement":"Quadratic functions and equations. The student applies the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations. The student is expected to:","alternativeLabel":"111.39.c.6 Quadratic functions and equations. The student applies the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations. The student is exp","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.6","listEnumeration":"662","abbreviatedStatement":"Quadratic functions and equations. The student applies the mathematical process standards when using properties of quadratic functions to write and represent in multiple ways, with and without technology, quadratic equations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"fa787ef7-5994-593c-9ce9-6555f4d60783","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfa787ef7-5994-593c-9ce9-6555f4d60783","fullStatement":"determine the domain and range of quadratic functions and represent the domain and range using inequalities;","alternativeLabel":"111.39.c.6.A determine the domain and range of quadratic functions and represent the domain and range using inequalities;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.6.A","listEnumeration":"663","abbreviatedStatement":"determine the domain and range of quadratic functions and represent the domain and range using inequalities;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"f6d6a34a-1af7-5aa8-bb82-5e5f8dd0d9d0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf6d6a34a-1af7-5aa8-bb82-5e5f8dd0d9d0","fullStatement":"write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form $(f(x) = a(x - h)^2+ k)$, and rewrite the equation from vertex form to standard form $(f(x) = ax^2+ bx + c)$; and","alternativeLabel":"111.39.c.6.B write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)2+ k), and rewrite the equation from vertex form to standard form (f(x) = ax2+ bx + c); and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.6.B","listEnumeration":"664","abbreviatedStatement":"write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)2+ k), and rewrite the equation from vertex form to standard form (f(x) = ax2+ bx + c); and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"81a6b7f7-cea8-5946-8521-5f4e6d73bc03","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems81a6b7f7-cea8-5946-8521-5f4e6d73bc03","fullStatement":"write quadratic functions when given real solutions and graphs of their related equations.","alternativeLabel":"111.39.c.6.C write quadratic functions when given real solutions and graphs of their related equations.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.6.C","listEnumeration":"665","abbreviatedStatement":"write quadratic functions when given real solutions and graphs of their related equations.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"b8d73198-3575-5646-8a5b-9d0746447934","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb8d73198-3575-5646-8a5b-9d0746447934","fullStatement":"Quadratic functions and equations. The student applies the mathematical process standards when using graphs of quadratic functions and their related transformations to represent in multiple ways and determine, with and without technology, the solutions to equations. The student is expected to:","alternativeLabel":"111.39.c.7 Quadratic functions and equations. The student applies the mathematical process standards when using graphs of quadratic functions and their related transformations to represent in multiple ways and determine, with and without technology, the s","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.7","listEnumeration":"666","abbreviatedStatement":"Quadratic functions and equations. The student applies the mathematical process standards when using graphs of quadratic functions and their related transformations to represent in multiple ways and determine, with and without technology, the solutions to equations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"0f80c030-76af-58e4-8ff8-b3e241e96594","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0f80c030-76af-58e4-8ff8-b3e241e96594","fullStatement":"graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry;","alternativeLabel":"111.39.c.7.A graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.7.A","listEnumeration":"667","abbreviatedStatement":"graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"3fb35ebc-c47b-5587-bcb3-bea5d161e2ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3fb35ebc-c47b-5587-bcb3-bea5d161e2ad","fullStatement":"describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions; and","alternativeLabel":"111.39.c.7.B describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.7.B","listEnumeration":"668","abbreviatedStatement":"describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"214b75ff-4986-5ed1-aee2-1121e41e5bb8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems214b75ff-4986-5ed1-aee2-1121e41e5bb8","fullStatement":"determine the effects on the graph of the parent function $f(x) = x^2$ when $f(x)$ is replaced by $af(x)$, $f(x) + d$, $f(x - c)$, $f(bx)$ for specific values of $a$, $b$, $c$, and $d$.","alternativeLabel":"111.39.c.7.C determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.7.C","listEnumeration":"669","abbreviatedStatement":"determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"ab074550-e8df-5832-9230-95cc78b67b7a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsab074550-e8df-5832-9230-95cc78b67b7a","fullStatement":"Quadratic functions and equations. The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. The student is expected to:","alternativeLabel":"111.39.c.8 Quadratic functions and equations. The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relation","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.8","listEnumeration":"670","abbreviatedStatement":"Quadratic functions and equations. The student applies the mathematical process standards to solve, with and without technology, quadratic equations and evaluate the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"c663451e-af7c-541e-810a-0b632bfde4f0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc663451e-af7c-541e-810a-0b632bfde4f0","fullStatement":"solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula; and","alternativeLabel":"111.39.c.8.A solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.8.A","listEnumeration":"671","abbreviatedStatement":"solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:39+00:00"},{"identifier":"6f25de63-5e5a-5307-96fe-4a1cf41196c9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6f25de63-5e5a-5307-96fe-4a1cf41196c9","fullStatement":"write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.","alternativeLabel":"111.39.c.8.B write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.8.B","listEnumeration":"672","abbreviatedStatement":"write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"123ec3f0-3cba-5fa3-b4dc-c338a1576527","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems123ec3f0-3cba-5fa3-b4dc-c338a1576527","fullStatement":"Exponential functions and equations. The student applies the mathematical process standards when using properties of exponential functions and their related transformations to write, graph, and represent in multiple ways exponential equations and evaluate, with and without technology, the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. The student is expected to:","alternativeLabel":"111.39.c.9 Exponential functions and equations. The student applies the mathematical process standards when using properties of exponential functions and their related transformations to write, graph, and represent in multiple ways exponential equations a","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.9","listEnumeration":"673","abbreviatedStatement":"Exponential functions and equations. The student applies the mathematical process standards when using properties of exponential functions and their related transformations to write, graph, and represent in multiple ways exponential equations and evaluate, with and without technology, the reasonableness of their solutions. The student formulates statistical relationships and evaluates their reasonableness based on real-world data. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"b49b0afb-9a3b-5db1-90ab-3583cf469642","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb49b0afb-9a3b-5db1-90ab-3583cf469642","fullStatement":"determine the domain and range of exponential functions of the form $f(x) = ab^x$ and represent the domain and range using inequalities;","alternativeLabel":"111.39.c.9.A determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.9.A","listEnumeration":"674","abbreviatedStatement":"determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"9d63ceb5-41e3-508b-b27d-f5af6e221bc9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9d63ceb5-41e3-508b-b27d-f5af6e221bc9","fullStatement":"interpret the meaning of the values of $a$ and $b$ in exponential functions of the form $f(x) = ab^x$ in real-world problems;","alternativeLabel":"111.39.c.9.B interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.9.B","listEnumeration":"675","abbreviatedStatement":"interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"2d409450-219a-5a3a-855e-fef386b69dfa","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2d409450-219a-5a3a-855e-fef386b69dfa","fullStatement":"write exponential functions in the form $f(x) = ab^x$ (where $b$ is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay;","alternativeLabel":"111.39.c.9.C write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.9.C","listEnumeration":"676","abbreviatedStatement":"write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"cc5e36e1-0279-5845-a28a-39cdd69d59f7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscc5e36e1-0279-5845-a28a-39cdd69d59f7","fullStatement":"graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems; and","alternativeLabel":"111.39.c.9.D graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.9.D","listEnumeration":"677","abbreviatedStatement":"graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"df31b1eb-63f9-5715-afbc-d79df0cae137","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdf31b1eb-63f9-5715-afbc-d79df0cae137","fullStatement":"write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.","alternativeLabel":"111.39.c.9.E write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.9.E","listEnumeration":"678","abbreviatedStatement":"write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"0710ab8f-770a-5bd7-b60b-1ffffef3b01b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0710ab8f-770a-5bd7-b60b-1ffffef3b01b","fullStatement":"Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions. The student is expected to:","alternativeLabel":"111.39.c.10 Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.10","listEnumeration":"679","abbreviatedStatement":"Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"6b46e1bf-5c8d-57a1-9ccd-092428e1ffe3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6b46e1bf-5c8d-57a1-9ccd-092428e1ffe3","fullStatement":"add and subtract polynomials of degree one and degree two;","alternativeLabel":"111.39.c.10.A add and subtract polynomials of degree one and degree two;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.10.A","listEnumeration":"680","abbreviatedStatement":"add and subtract polynomials of degree one and degree two;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"37810e03-5ece-5e96-bffb-e1e35b609643","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems37810e03-5ece-5e96-bffb-e1e35b609643","fullStatement":"multiply polynomials of degree one and degree two;","alternativeLabel":"111.39.c.10.B multiply polynomials of degree one and degree two;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.10.B","listEnumeration":"681","abbreviatedStatement":"multiply polynomials of degree one and degree two;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"0c1f22ef-3ead-525d-a9fa-cdd6fada199d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0c1f22ef-3ead-525d-a9fa-cdd6fada199d","fullStatement":"determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend;","alternativeLabel":"111.39.c.10.C determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.10.C","listEnumeration":"682","abbreviatedStatement":"determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"d14c7368-61df-5623-8e3c-1af9c82201ec","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd14c7368-61df-5623-8e3c-1af9c82201ec","fullStatement":"rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;","alternativeLabel":"111.39.c.10.D rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.10.D","listEnumeration":"683","abbreviatedStatement":"rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"62062bb5-d929-59d5-95e1-bd218cbff3a6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems62062bb5-d929-59d5-95e1-bd218cbff3a6","fullStatement":"factor, if possible, trinomials with real factors in the form $ax^2 + bx + c$, including perfect square trinomials of degree two; and","alternativeLabel":"111.39.c.10.E factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.10.E","listEnumeration":"684","abbreviatedStatement":"factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"87bbf30c-716e-5cba-8ff1-abdf73763423","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems87bbf30c-716e-5cba-8ff1-abdf73763423","fullStatement":"decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial.","alternativeLabel":"111.39.c.10.F decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.10.F","listEnumeration":"685","abbreviatedStatement":"decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"e9c9f386-0716-59bb-a207-5915add18fd3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse9c9f386-0716-59bb-a207-5915add18fd3","fullStatement":"Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms. The student is expected to:","alternativeLabel":"111.39.c.11 Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.11","listEnumeration":"686","abbreviatedStatement":"Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:40+00:00"},{"identifier":"405ad834-2a5f-5791-afa8-12803e943b05","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems405ad834-2a5f-5791-afa8-12803e943b05","fullStatement":"simplify numerical radical expressions involving square roots; and","alternativeLabel":"111.39.c.11.A simplify numerical radical expressions involving square roots; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.11.A","listEnumeration":"687","abbreviatedStatement":"simplify numerical radical expressions involving square roots; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"90a5fa57-05e7-5e92-b13a-f6c50c254cbb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems90a5fa57-05e7-5e92-b13a-f6c50c254cbb","fullStatement":"simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.","alternativeLabel":"111.39.c.11.B simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.11.B","listEnumeration":"688","abbreviatedStatement":"simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"b885c743-a5cf-564c-a79d-4a540de6cca5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb885c743-a5cf-564c-a79d-4a540de6cca5","fullStatement":"Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. The student is expected to:","alternativeLabel":"111.39.c.12 Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.39.c.12","listEnumeration":"689","abbreviatedStatement":"Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"65e3c1b3-8ae1-5c4e-8572-02d8b888b38a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems65e3c1b3-8ae1-5c4e-8572-02d8b888b38a","fullStatement":"decide whether relations represented verbally, tabularly, graphically, and symbolically define a function;","alternativeLabel":"111.39.c.12.A decide whether relations represented verbally, tabularly, graphically, and symbolically define a function;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.12.A","listEnumeration":"690","abbreviatedStatement":"decide whether relations represented verbally, tabularly, graphically, and symbolically define a function;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"75ad8f40-a6fc-5195-b41b-b0ee8e2c31dd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems75ad8f40-a6fc-5195-b41b-b0ee8e2c31dd","fullStatement":"evaluate functions, expressed in function notation, given one or more elements in their domains;","alternativeLabel":"111.39.c.12.B evaluate functions, expressed in function notation, given one or more elements in their domains;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.12.B","listEnumeration":"691","abbreviatedStatement":"evaluate functions, expressed in function notation, given one or more elements in their domains;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"b0089912-452a-5a24-9b70-573faa30c80f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb0089912-452a-5a24-9b70-573faa30c80f","fullStatement":"identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes;","alternativeLabel":"111.39.c.12.C identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.12.C","listEnumeration":"692","abbreviatedStatement":"identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"c4648a9b-d42a-553f-8f41-de1342c15cc2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc4648a9b-d42a-553f-8f41-de1342c15cc2","fullStatement":"write a formula for the $n^{th}$ term of arithmetic and geometric sequences, given the value of several of their terms; and","alternativeLabel":"111.39.c.12.D write a formula for the nthterm of arithmetic and geometric sequences, given the value of several of their terms; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.12.D","listEnumeration":"693","abbreviatedStatement":"write a formula for the nthterm of arithmetic and geometric sequences, given the value of several of their terms; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"ad901527-efdd-5c29-b9bf-c98d15da9b40","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsad901527-efdd-5c29-b9bf-c98d15da9b40","fullStatement":"solve mathematic and scientific formulas, and other literal equations, for a specified variable.","alternativeLabel":"111.39.c.12.E solve mathematic and scientific formulas, and other literal equations, for a specified variable.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.39.c.12.E","listEnumeration":"694","abbreviatedStatement":"solve mathematic and scientific formulas, and other literal equations, for a specified variable.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"da1294d3-0e93-5883-8865-04c53a8f5b5e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsda1294d3-0e93-5883-8865-04c53a8f5b5e","fullStatement":"Algebra II, Adopted 2012 (One-Half to One Credit).","alternativeLabel":"111.40 Algebra II, Adopted 2012 (One-Half to One Credit).","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.40","listEnumeration":"695","abbreviatedStatement":"Algebra II, Adopted 2012 (One-Half to One Credit).","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"53d49c5e-eb07-5405-a7a4-0480f4648fb3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems53d49c5e-eb07-5405-a7a4-0480f4648fb3","fullStatement":"General requirements. Students shall be awarded one-half to one credit for successful completion of this course. Prerequisite: Algebra I.","alternativeLabel":"111.40.a General requirements. Students shall be awarded one-half to one credit for successful completion of this course. Prerequisite: Algebra I.","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"1a8b85de-3794-4493-8f66-b6a630235254","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/1a8b85de-3794-4493-8f66-b6a630235254"},"humanCodingScheme":"111.40.a","listEnumeration":"696","abbreviatedStatement":"General requirements. Students shall be awarded one-half to one credit for successful completion of this course. Prerequisite: Algebra I.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"6d77bdea-5620-57cd-b124-10e985a9f6db","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6d77bdea-5620-57cd-b124-10e985a9f6db","fullStatement":"Introduction.","alternativeLabel":"111.40.b Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.40.b","listEnumeration":"697","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"1cf2f9db-374c-5060-b310-1e996597f92f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1cf2f9db-374c-5060-b310-1e996597f92f","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.40.b.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while fo","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.40.b.1","listEnumeration":"698","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"77fba7c9-8ae1-590f-b387-550c07864f55","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems77fba7c9-8ae1-590f-b387-550c07864f55","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.40.b.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standa","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.40.b.2","listEnumeration":"699","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"cec31d28-fdf4-53dc-aea8-992d10b73a44","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscec31d28-fdf4-53dc-aea8-992d10b73a44","fullStatement":"In Algebra II, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I. Students will broaden their knowledge of quadratic functions, exponential functions, and systems of equations. Students will study logarithmic, square root, cubic, cube root, absolute value, rational functions, and their related equations. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations. In addition, students will extend their knowledge of data analysis and numeric and algebraic methods.","alternativeLabel":"111.40.b.3 In Algebra II, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I. Students will broaden their knowledge of quadratic functions, exponential functions, and systems of equations. Students will s","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.40.b.3","listEnumeration":"700","abbreviatedStatement":"In Algebra II, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I. Students will broaden their knowledge of quadratic functions, exponential functions, and systems of equations. Students will study logarithmic, square root, cubic, cube root, absolute value, rational functions, and their related equations. Students will connect functions to their inverses and associated equations and solutions in both mathematical and real-world situations. In addition, students will extend their knowledge of data analysis and numeric and algebraic methods.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"7bf91124-a50d-555d-9acd-12e4d6a46a73","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7bf91124-a50d-555d-9acd-12e4d6a46a73","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.40.b.4 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.40.b.4","listEnumeration":"701","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"ae0248d1-e2fd-5e6b-91bd-1e79e4b5207b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsae0248d1-e2fd-5e6b-91bd-1e79e4b5207b","fullStatement":"Knowledge and skills.","alternativeLabel":"111.40.c Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.40.c","listEnumeration":"702","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:41+00:00"},{"identifier":"a5d40c77-05de-5d70-8963-ae91c5ebed55","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa5d40c77-05de-5d70-8963-ae91c5ebed55","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.40.c.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.40.c.1","listEnumeration":"703","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"758a0c48-c3d1-5d79-895b-1b21fe6df4e7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems758a0c48-c3d1-5d79-895b-1b21fe6df4e7","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.40.c.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.1.A","listEnumeration":"704","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"cf654798-0fb5-5e66-bd4c-f9c3a4fb428b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscf654798-0fb5-5e66-bd4c-f9c3a4fb428b","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.40.c.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.1.B","listEnumeration":"705","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"204a89e7-03d9-5313-801c-1c44227df504","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems204a89e7-03d9-5313-801c-1c44227df504","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.40.c.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.1.C","listEnumeration":"706","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"7725ec96-5350-57bc-a6e3-6ef7c43bfc2f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7725ec96-5350-57bc-a6e3-6ef7c43bfc2f","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.40.c.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.1.D","listEnumeration":"707","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"b422bd07-9f3e-54a6-918c-dfe799b0cf94","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb422bd07-9f3e-54a6-918c-dfe799b0cf94","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.40.c.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.1.E","listEnumeration":"708","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"5065c120-5fe5-50fc-a25f-788d1d3869b9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5065c120-5fe5-50fc-a25f-788d1d3869b9","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.40.c.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.1.F","listEnumeration":"709","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"2a8d8acc-2c5c-5043-9a2c-afa20dd13b1e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2a8d8acc-2c5c-5043-9a2c-afa20dd13b1e","fullStatement":"display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.40.c.1.G display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.1.G","listEnumeration":"710","abbreviatedStatement":"display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"fc580186-ca28-54ff-a25c-65b9525b4aba","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfc580186-ca28-54ff-a25c-65b9525b4aba","fullStatement":"Attributes of functions and their inverses. The student applies mathematical processes to understand that functions have distinct key attributes and understand the relationship between a function and its inverse. The student is expected to:","alternativeLabel":"111.40.c.2 Attributes of functions and their inverses. The student applies mathematical processes to understand that functions have distinct key attributes and understand the relationship between a function and its inverse. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.40.c.2","listEnumeration":"711","abbreviatedStatement":"Attributes of functions and their inverses. The student applies mathematical processes to understand that functions have distinct key attributes and understand the relationship between a function and its inverse. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"cc784f39-922f-5e81-b9fa-ffb2bdd732fe","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscc784f39-922f-5e81-b9fa-ffb2bdd732fe","fullStatement":"graph the functions $f(x)=\\sqrt{x}$, $f(x)=1/x$, $f(x)=x^3$, $f(x)= \\sqrt[3]{x}$, $f(x)=b^x$, $f(x)=|x|$, and $f(x)=log_b (x)$ where $b$ is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval;","alternativeLabel":"111.40.c.2.A graph the functions f(x)=x, f(x)=1/x, f(x)=x3, f(x)= 3x, f(x)=bx, f(x)=|x|, and f(x)=logb (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, ","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.2.A","listEnumeration":"712","abbreviatedStatement":"graph the functions f(x)=\u221ax, f(x)=1/x, f(x)=x3, f(x)= 3\u221ax, f(x)=bx, f(x)=|x|, and f(x)=logb (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"26f078a6-6aa2-591a-b842-cfe5038eae98","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems26f078a6-6aa2-591a-b842-cfe5038eae98","fullStatement":"graph and write the inverse of a function using notation such as $f^{-1} (x)$;","alternativeLabel":"111.40.c.2.B graph and write the inverse of a function using notation such as f -1 (x);","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.2.B","listEnumeration":"713","abbreviatedStatement":"graph and write the inverse of a function using notation such as f -1 (x);","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"5ab8f984-fb5d-5972-8fdd-5315f27b598d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5ab8f984-fb5d-5972-8fdd-5315f27b598d","fullStatement":"describe and analyze the relationship between a function and its inverse (quadratic and square root, logarithmic and exponential), including the restriction(s) on domain, which will restrict its range; and","alternativeLabel":"111.40.c.2.C describe and analyze the relationship between a function and its inverse (quadratic and square root, logarithmic and exponential), including the restriction(s) on domain, which will restrict its range; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.2.C","listEnumeration":"714","abbreviatedStatement":"describe and analyze the relationship between a function and its inverse (quadratic and square root, logarithmic and exponential), including the restriction(s) on domain, which will restrict its range; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"2d055aa5-66f1-5424-afb1-c5798ac7f962","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2d055aa5-66f1-5424-afb1-c5798ac7f962","fullStatement":"use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other.","alternativeLabel":"111.40.c.2.D use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.2.D","listEnumeration":"715","abbreviatedStatement":"use the composition of two functions, including the necessary restrictions on the domain, to determine if the functions are inverses of each other.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"0390d6a9-5a62-575b-b534-7a72d5f2dd1d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0390d6a9-5a62-575b-b534-7a72d5f2dd1d","fullStatement":"Systems of equations and inequalities. The student applies mathematical processes to formulate systems of equations and inequalities, use a variety of methods to solve, and analyze reasonableness of solutions. The student is expected to:","alternativeLabel":"111.40.c.3 Systems of equations and inequalities. The student applies mathematical processes to formulate systems of equations and inequalities, use a variety of methods to solve, and analyze reasonableness of solutions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.40.c.3","listEnumeration":"716","abbreviatedStatement":"Systems of equations and inequalities. The student applies mathematical processes to formulate systems of equations and inequalities, use a variety of methods to solve, and analyze reasonableness of solutions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"b8c87b34-8edd-5549-a9d2-cfd7e9a7dc88","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb8c87b34-8edd-5549-a9d2-cfd7e9a7dc88","fullStatement":"formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic;","alternativeLabel":"111.40.c.3.A formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.3.A","listEnumeration":"717","abbreviatedStatement":"formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"70b66275-45ef-5f91-b8d3-37fdbe761217","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems70b66275-45ef-5f91-b8d3-37fdbe761217","fullStatement":"solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution;","alternativeLabel":"111.40.c.3.B solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.3.B","listEnumeration":"718","abbreviatedStatement":"solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:42+00:00"},{"identifier":"564c3b73-309b-5f5d-b6a8-761e66a881de","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems564c3b73-309b-5f5d-b6a8-761e66a881de","fullStatement":"solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation;","alternativeLabel":"111.40.c.3.C solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.3.C","listEnumeration":"719","abbreviatedStatement":"solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"03b88688-0c84-5ef2-8197-7ddb75710552","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems03b88688-0c84-5ef2-8197-7ddb75710552","fullStatement":"determine the reasonableness of solutions to systems of a linear equation and a quadratic equation in two variables;","alternativeLabel":"111.40.c.3.D determine the 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in two variables;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.3.E","listEnumeration":"721","abbreviatedStatement":"formulate systems of at least two linear inequalities in two variables;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"3fab197e-1fbe-5126-88dc-bce2008500b7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3fab197e-1fbe-5126-88dc-bce2008500b7","fullStatement":"solve systems of two or more linear inequalities in two variables; and","alternativeLabel":"111.40.c.3.F solve systems of two or more linear inequalities in two variables; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student 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The student applies mathematical processes to understand that quadratic and square root functions, equations, and quadratic inequalities can be used to model situations, solve problems, and make predictions. The student is expected to:","alternativeLabel":"111.40.c.4 Quadratic and square root functions, equations, and inequalities. The student applies mathematical processes to understand that quadratic and square root functions, equations, and quadratic inequalities can be used to model situations, solve pr","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.40.c.4","listEnumeration":"724","abbreviatedStatement":"Quadratic and square root functions, equations, and inequalities. The student applies mathematical processes to understand that quadratic and square root functions, equations, and quadratic inequalities can be used to model situations, solve problems, and make predictions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"e0ab1574-44a8-5d10-ad45-71158d318321","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse0ab1574-44a8-5d10-ad45-71158d318321","fullStatement":"write the quadratic function given three specified points in the plane;","alternativeLabel":"111.40.c.4.A write the quadratic function given three specified points in the plane;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.4.A","listEnumeration":"725","abbreviatedStatement":"write the quadratic function given three specified points in the plane;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"39623f57-8bec-5f21-933b-39a040a6c9fb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems39623f57-8bec-5f21-933b-39a040a6c9fb","fullStatement":"write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening;","alternativeLabel":"111.40.c.4.B write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.4.B","listEnumeration":"726","abbreviatedStatement":"write the equation of a parabola using given attributes, including vertex, focus, directrix, axis of symmetry, and direction of opening;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"5004eb43-3ff8-509a-a86c-ca24a29be68e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5004eb43-3ff8-509a-a86c-ca24a29be68e","fullStatement":"determine the effect on the graph of $f(x) = \\sqrt{x}$ when $f(x)$ is replaced by $af(x)$, $f(x) + d$, $f(bx)$, and $f(x - c)$ for specific positive and negative values of $a$, $b$, $c$, and $d$;","alternativeLabel":"111.40.c.4.C determine the effect on the graph of f(x) = x when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values of a, b, c, and d;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.4.C","listEnumeration":"727","abbreviatedStatement":"determine the effect on the graph of f(x) = \u221ax when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values of a, b, c, and d;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"56da512d-4aea-5cf4-88be-33082ea77ba7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems56da512d-4aea-5cf4-88be-33082ea77ba7","fullStatement":"transform a quadratic function $f(x) = ax^2+ bx + c$ to the form $f(x) = a(x - h)^2+ k$ to identify the different attributes of $f(x)$;","alternativeLabel":"111.40.c.4.D transform a quadratic function f(x) = ax2+ bx + c to the form f(x) = a(x - h)2+ k to identify the different attributes of f(x);","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.4.D","listEnumeration":"728","abbreviatedStatement":"transform a quadratic function f(x) = ax2+ bx + c to the form f(x) = a(x - h)2+ k to identify the different attributes of f(x);","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"14125555-fff2-5d00-8adc-3c03d151851b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems14125555-fff2-5d00-8adc-3c03d151851b","fullStatement":"formulate quadratic and square root equations using technology given a table of data;","alternativeLabel":"111.40.c.4.E formulate quadratic and square root equations using technology given a table of data;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.4.E","listEnumeration":"729","abbreviatedStatement":"formulate quadratic and square root equations using technology given a table of data;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"9c82102a-19dc-5fd5-953f-54615d5fd1c0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9c82102a-19dc-5fd5-953f-54615d5fd1c0","fullStatement":"solve quadratic and square root equations;","alternativeLabel":"111.40.c.4.F solve quadratic and square root equations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.4.F","listEnumeration":"730","abbreviatedStatement":"solve quadratic and square root equations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"8493af8a-2308-5e37-a35b-d46ce36f6059","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8493af8a-2308-5e37-a35b-d46ce36f6059","fullStatement":"identify extraneous solutions of square root equations; and","alternativeLabel":"111.40.c.4.G identify extraneous solutions of square root equations; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.4.G","listEnumeration":"731","abbreviatedStatement":"identify extraneous solutions of square root equations; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"6d812e79-6693-5416-add8-60ffe046b9df","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6d812e79-6693-5416-add8-60ffe046b9df","fullStatement":"solve quadratic inequalities.","alternativeLabel":"111.40.c.4.H solve quadratic inequalities.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.4.H","listEnumeration":"732","abbreviatedStatement":"solve quadratic inequalities.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"6f7bad14-0a1d-5c5a-86ea-5f10d06c8258","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6f7bad14-0a1d-5c5a-86ea-5f10d06c8258","fullStatement":"Exponential and logarithmic functions and equations. The student applies mathematical processes to understand that exponential and logarithmic functions can be used to model situations and solve problems. The student is expected to:","alternativeLabel":"111.40.c.5 Exponential and logarithmic functions and equations. The student applies mathematical processes to understand that exponential and logarithmic functions can be used to model situations and solve problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.40.c.5","listEnumeration":"733","abbreviatedStatement":"Exponential and logarithmic functions and equations. The student applies mathematical processes to understand that exponential and logarithmic functions can be used to model situations and solve problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"7c99700d-5670-5e6a-ada2-26a0f8439468","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7c99700d-5670-5e6a-ada2-26a0f8439468","fullStatement":"determine the effects on the key attributes on the graphs of $f(x) = b^x$ and $f(x) = log_b (x)$ where $b$ is 2, 10, and $e$ when $f(x)$ is replaced by $af(x)$, $f(x) + d$, and $f(x - c)$ for specific positive and negative real values of $a$, $c$, and $d$;","alternativeLabel":"111.40.c.5.A determine the effects on the key attributes on the graphs of f(x) = bx and f(x) = logb (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for specific positive and negative real values of a, c, and d;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.5.A","listEnumeration":"734","abbreviatedStatement":"determine the effects on the key attributes on the graphs of f(x) = bx and f(x) = logb (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for specific positive and negative real values of a, c, and d;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"7d1dd17f-9608-549c-be80-81b1599bf009","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7d1dd17f-9608-549c-be80-81b1599bf009","fullStatement":"formulate exponential and logarithmic equations that model real-world situations, including exponential relationships written in recursive notation;","alternativeLabel":"111.40.c.5.B formulate exponential and logarithmic equations that model real-world situations, including exponential relationships written in recursive notation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.5.B","listEnumeration":"735","abbreviatedStatement":"formulate exponential and logarithmic equations that model real-world situations, including exponential relationships written in recursive notation;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"06970377-7749-5342-90e6-d92efe74c2cc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems06970377-7749-5342-90e6-d92efe74c2cc","fullStatement":"rewrite exponential equations as their corresponding logarithmic equations and logarithmic equations as their corresponding exponential equations;","alternativeLabel":"111.40.c.5.C rewrite exponential equations as their corresponding logarithmic equations and logarithmic equations as their corresponding exponential equations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.5.C","listEnumeration":"736","abbreviatedStatement":"rewrite exponential equations as their corresponding logarithmic equations and logarithmic equations as their corresponding exponential equations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"078a4912-1db1-5f12-a31f-c7b39c117ea4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems078a4912-1db1-5f12-a31f-c7b39c117ea4","fullStatement":"solve exponential equations of the form $y = ab^x$ where $a$ is a nonzero real number and $b$ is greater than zero and not equal to one and single logarithmic equations having real solutions; and","alternativeLabel":"111.40.c.5.D solve exponential equations of the form y = abx where a is a nonzero real number and b is greater than zero and not equal to one and single logarithmic equations having real solutions; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.5.D","listEnumeration":"737","abbreviatedStatement":"solve exponential equations of the form y = abx where a is a nonzero real number and b is greater than zero and not equal to one and single logarithmic equations having real solutions; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"1e55c264-833d-52da-9eec-f0fea35525d5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1e55c264-833d-52da-9eec-f0fea35525d5","fullStatement":"determine the reasonableness of a solution to a logarithmic equation.","alternativeLabel":"111.40.c.5.E determine the reasonableness of a solution to a logarithmic equation.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.5.E","listEnumeration":"738","abbreviatedStatement":"determine the reasonableness of a solution to a logarithmic equation.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"8ddd26b2-242a-5882-832f-82ad0166d4db","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8ddd26b2-242a-5882-832f-82ad0166d4db","fullStatement":"Cubic, cube root, absolute value and rational functions, equations, and inequalities. The student applies mathematical processes to understand that cubic, cube root, absolute value and rational functions, equations, and inequalities can be used to model situations, solve problems, and make predictions. The student is expected to:","alternativeLabel":"111.40.c.6 Cubic, cube root, absolute value and rational functions, equations, and inequalities. The student applies mathematical processes to understand that cubic, cube root, absolute value and rational functions, equations, and inequalities can be used","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.40.c.6","listEnumeration":"739","abbreviatedStatement":"Cubic, cube root, absolute value and rational functions, equations, and inequalities. The student applies mathematical processes to understand that cubic, cube root, absolute value and rational functions, equations, and inequalities can be used to model situations, solve problems, and make predictions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"36ad2215-4c3a-53eb-8d67-8fa2a442d240","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems36ad2215-4c3a-53eb-8d67-8fa2a442d240","fullStatement":"analyze the effect on the graphs of $f(x) = x^3$ and $f(x) = \\sqrt[3]{x}$ when $f(x)$ is replaced by $af(x)$, $f(bx)$, $f(x - c)$, and $f(x) + d$ for specific positive and negative real values of $a$, $b$, $c$, and $d$;","alternativeLabel":"111.40.c.6.A analyze the effect on the graphs of f(x) = x3 and f(x) = 3x when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values of a, b, c, and d;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student 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d;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.6.C","listEnumeration":"742","abbreviatedStatement":"analyze the effect on the graphs of f(x) = |x| when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"6b21639d-78f4-5c7b-b3c7-577a48fb7073","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6b21639d-78f4-5c7b-b3c7-577a48fb7073","fullStatement":"formulate absolute value linear equations;","alternativeLabel":"111.40.c.6.D formulate absolute value linear equations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student 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d;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.6.G","listEnumeration":"746","abbreviatedStatement":"analyze the effect on the graphs of f(x) = 1/x when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:44+00:00"},{"identifier":"e16829eb-0caf-5c01-9f52-f561f7c4a447","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse16829eb-0caf-5c01-9f52-f561f7c4a447","fullStatement":"formulate rational equations that model real-world situations;","alternativeLabel":"111.40.c.6.H formulate rational equations that model real-world situations;","CFItemType":"Student 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and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.6.K","listEnumeration":"750","abbreviatedStatement":"determine the asymptotic restrictions on the domain of a rational function and represent domain and range using interval notation, inequalities, and set notation; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:45+00:00"},{"identifier":"43fb4ed8-5dad-54d2-b4f0-6546bc4b24e7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems43fb4ed8-5dad-54d2-b4f0-6546bc4b24e7","fullStatement":"formulate and solve equations involving inverse variation.","alternativeLabel":"111.40.c.6.L formulate and solve equations involving inverse variation.","CFItemType":"Student 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The student applies mathematical processes to simplify and perform operations on expressions and to solve equations. The student is expected to:","alternativeLabel":"111.40.c.7 Number and algebraic methods. The student applies mathematical processes to simplify and perform operations on expressions and to solve equations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.40.c.7","listEnumeration":"752","abbreviatedStatement":"Number and algebraic methods. The student applies mathematical processes to simplify and perform operations on expressions and to solve equations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:45+00:00"},{"identifier":"df6c4368-4bab-5f83-8eba-9c38a8991414","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdf6c4368-4bab-5f83-8eba-9c38a8991414","fullStatement":"add, subtract, and multiply complex numbers;","alternativeLabel":"111.40.c.7.A add, subtract, and multiply complex numbers;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.7.A","listEnumeration":"753","abbreviatedStatement":"add, subtract, and multiply complex 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polynomial function of degree three and of degree four using algebraic methods;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:45+00:00"},{"identifier":"9aedf8c1-8554-535c-abde-dbd76706f738","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9aedf8c1-8554-535c-abde-dbd76706f738","fullStatement":"determine linear and quadratic factors of a polynomial expression of degree three and of degree four, including factoring the sum and difference of two cubes and factoring by grouping;","alternativeLabel":"111.40.c.7.E determine linear and quadratic factors of a polynomial expression of degree three and of degree four, including factoring the sum and difference of two cubes and factoring by grouping;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student 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exponents of degree one and of degree two;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.7.F","listEnumeration":"758","abbreviatedStatement":"determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:45+00:00"},{"identifier":"a16c921d-55b6-5694-bd82-a783c330b587","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa16c921d-55b6-5694-bd82-a783c330b587","fullStatement":"rewrite radical expressions that contain variables to equivalent forms;","alternativeLabel":"111.40.c.7.G rewrite radical expressions that contain variables to equivalent forms;","CFItemType":"Student 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Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.7.I","listEnumeration":"761","abbreviatedStatement":"write the domain and range of a function in interval notation, inequalities, and set notation.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:45+00:00"},{"identifier":"25ad1342-8338-5763-b408-2469bdd362c2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems25ad1342-8338-5763-b408-2469bdd362c2","fullStatement":"Data. The student applies mathematical processes to analyze data, select appropriate models, write corresponding functions, and make predictions. The student is expected to:","alternativeLabel":"111.40.c.8 Data. The student applies mathematical processes to analyze data, select appropriate models, write corresponding functions, and make predictions. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.40.c.8","listEnumeration":"762","abbreviatedStatement":"Data. The student applies mathematical processes to analyze data, select appropriate models, write corresponding functions, and make predictions. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:45+00:00"},{"identifier":"f09e7883-c246-5b16-af20-beb651a2c816","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf09e7883-c246-5b16-af20-beb651a2c816","fullStatement":"analyze data to select the appropriate model from among linear, quadratic, and exponential models;","alternativeLabel":"111.40.c.8.A analyze data to select the appropriate model from among linear, quadratic, and exponential models;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.8.A","listEnumeration":"763","abbreviatedStatement":"analyze data to select the appropriate model from among linear, quadratic, and exponential models;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"371eb5dd-e538-516f-bb4c-9075707b8db0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems371eb5dd-e538-516f-bb4c-9075707b8db0","fullStatement":"use regression methods available through technology to write a linear function, a quadratic function, and an exponential function from a given set of data; and","alternativeLabel":"111.40.c.8.B use regression methods available through technology to write a linear function, a quadratic function, and an exponential function from a given set of data; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.8.B","listEnumeration":"764","abbreviatedStatement":"use regression methods available through technology to write a linear function, a quadratic function, and an exponential function from a given set of data; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"4521ce73-3fcb-591d-a52a-c23ee877a465","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4521ce73-3fcb-591d-a52a-c23ee877a465","fullStatement":"predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models.","alternativeLabel":"111.40.c.8.C predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.40.c.8.C","listEnumeration":"765","abbreviatedStatement":"predict and make decisions and critical judgments from a given set of data using linear, quadratic, and exponential models.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"f6b144b7-3e67-5b05-bc32-bf1df7102494","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf6b144b7-3e67-5b05-bc32-bf1df7102494","fullStatement":"Geometry, Adopted 2012 (One Credit).","alternativeLabel":"111.41 Geometry, Adopted 2012 (One Credit).","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.41","listEnumeration":"766","abbreviatedStatement":"Geometry, Adopted 2012 (One Credit).","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"a881ce78-590d-5c5a-9ad7-7ecd961a6649","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa881ce78-590d-5c5a-9ad7-7ecd961a6649","fullStatement":"General requirements. Students shall be awarded one credit for successful completion of this course. Prerequisite: Algebra I.","alternativeLabel":"111.41.a General requirements. Students shall be awarded one credit for successful completion of this course. Prerequisite: Algebra I.","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"1a8b85de-3794-4493-8f66-b6a630235254","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/1a8b85de-3794-4493-8f66-b6a630235254"},"humanCodingScheme":"111.41.a","listEnumeration":"767","abbreviatedStatement":"General requirements. Students shall be awarded one credit for successful completion of this course. Prerequisite: Algebra I.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"3c22d985-b676-5f65-a64b-cdd9ddb491fc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3c22d985-b676-5f65-a64b-cdd9ddb491fc","fullStatement":"Introduction.","alternativeLabel":"111.41.b Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.41.b","listEnumeration":"768","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"29137325-805c-502d-ade3-2123b3200486","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems29137325-805c-502d-ade3-2123b3200486","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.41.b.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while fo","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.41.b.1","listEnumeration":"769","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"cde513bc-35c4-5dec-a081-df7240fcb307","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscde513bc-35c4-5dec-a081-df7240fcb307","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.41.b.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standa","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.41.b.2","listEnumeration":"770","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"52db1677-36e1-5d38-846e-6f656f1cc04c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems52db1677-36e1-5d38-846e-6f656f1cc04c","fullStatement":"In Geometry, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I to strengthen their mathematical reasoning skills in geometric contexts. Within the course, students will begin to focus on more precise terminology, symbolic representations, and the development of proofs. Students will explore concepts covering coordinate and transformational geometry; logical argument and constructions; proof and congruence; similarity, proof, and trigonometry; two- and three-dimensional figures; circles; and probability. Students will connect previous knowledge from Algebra I to Geometry through the coordinate and transformational geometry strand. In the logical arguments and constructions strand, students are expected to create formal constructions using a straight edge and compass. Though this course is primarily Euclidean geometry, students should complete the course with an understanding that non-Euclidean geometries exist. In proof and congruence, students will use deductive reasoning to justify, prove and apply theorems about geometric figures. Throughout the standards, the term \"prove\" means a formal proof to be shown in a paragraph, a flow chart, or two-column formats. Proportionality is the unifying component of the similarity, proof, and trigonometry strand. Students will use their proportional reasoning skills to prove and apply theorems and solve problems in this strand. The two- and three-dimensional figure strand focuses on the application of formulas in multi-step situations since students have developed background knowledge in two- and three-dimensional figures. Using patterns to identify geometric properties, students will apply theorems about circles to determine relationships between special segments and angles in circles. Due to the emphasis of probability and statistics in the college and career readiness standards, standards dealing with probability have been added to the geometry curriculum to ensure students have proper exposure to these topics before pursuing their post-secondary education.","alternativeLabel":"111.41.b.3 In Geometry, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I to strengthen their mathematical reasoning skills in geometric contexts. Within the course, students will begin to focus on more ","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.41.b.3","listEnumeration":"771","abbreviatedStatement":"In Geometry, students will build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I to strengthen their mathematical reasoning skills in geometric contexts. Within the course, students will begin to focus on more precise terminology, symbolic representations, and the development of proofs. Students will explore concepts covering coordinate and transformational geometry; logical argument and constructions; proof and congruence; similarity, proof, and trigonometry; two- and three-dimensional figures; circles; and probability. Students will connect previous knowledge from Algebra I to Geometry through the coordinate and transformational geometry strand. In the logical arguments and constructions strand, students are expected to create formal constructions using a straight edge and compass. Though this course is primarily Euclidean geometry, students should complete the course with an understanding that non-Euclidean geometries exist. In proof and congruence, students will use deductive reasoning to justify, prove and apply theorems about geometric figures. Throughout the standards, the term \"prove\" means a formal proof to be shown in a paragraph, a flow chart, or two-column formats. Proportionality is the unifying component of the similarity, proof, and trigonometry strand. Students will use their proportional reasoning skills to prove and apply theorems and solve problems in this strand. The two- and three-dimensional figure strand focuses on the application of formulas in multi-step situations since students have developed background knowledge in two- and three-dimensional figures. Using patterns to identify geometric properties, students will apply theorems about circles to determine relationships between special segments and angles in circles. Due to the emphasis of probability and statistics in the college and career readiness standards, standards dealing with probability have been added to the geometry curriculum to ensure students have proper exposure to these topics before pursuing their post-secondary education.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"545bbb9d-8939-59dc-8925-f31d860661b8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems545bbb9d-8939-59dc-8925-f31d860661b8","fullStatement":"These standards are meant to provide clarity and specificity in regards to the content covered in the high school geometry course. These standards are not meant to limit the methodologies used to convey this knowledge to students. Though the standards are written in a particular order, they are not necessarily meant to be taught in the given order. In the standards, the phrase \"to solve problems\" includes both contextual and non-contextual problems unless specifically stated.","alternativeLabel":"111.41.b.4 These standards are meant to provide clarity and specificity in regards to the content covered in the high school geometry course. These standards are not meant to limit the methodologies used to convey this knowledge to students. Though the st","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.41.b.4","listEnumeration":"772","abbreviatedStatement":"These standards are meant to provide clarity and specificity in regards to the content covered in the high school geometry course. These standards are not meant to limit the methodologies used to convey this knowledge to students. Though the standards are written in a particular order, they are not necessarily meant to be taught in the given order. In the standards, the phrase \"to solve problems\" includes both contextual and non-contextual problems unless specifically stated.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"91727e99-9185-5a2d-825e-db7047e15d2d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems91727e99-9185-5a2d-825e-db7047e15d2d","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.41.b.5 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.41.b.5","listEnumeration":"773","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"f72dd069-ca43-5649-8cea-baa0e45ff79d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf72dd069-ca43-5649-8cea-baa0e45ff79d","fullStatement":"Knowledge and skills.","alternativeLabel":"111.41.c Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.41.c","listEnumeration":"774","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"80d5ad72-0674-5b88-a9af-c01882fdfff0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems80d5ad72-0674-5b88-a9af-c01882fdfff0","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.41.c.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.1","listEnumeration":"775","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"8a46955b-8fdc-5936-af0b-1cd6ae081a09","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8a46955b-8fdc-5936-af0b-1cd6ae081a09","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.41.c.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.1.A","listEnumeration":"776","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"793cc07a-bb18-5169-9b6b-2252d44c26a6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems793cc07a-bb18-5169-9b6b-2252d44c26a6","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.41.c.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.1.B","listEnumeration":"777","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:46+00:00"},{"identifier":"c5dfad69-d5ac-5c80-9dc8-f9978d40dc15","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc5dfad69-d5ac-5c80-9dc8-f9978d40dc15","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.41.c.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.1.C","listEnumeration":"778","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"65feef94-c774-5bbd-b7f8-db986524e6ef","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems65feef94-c774-5bbd-b7f8-db986524e6ef","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.41.c.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.1.D","listEnumeration":"779","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"f56e9aaf-d1e8-5a5a-a32b-d14586dde3e9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf56e9aaf-d1e8-5a5a-a32b-d14586dde3e9","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.41.c.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.1.E","listEnumeration":"780","abbreviatedStatement":"create and use representations to organize, record, and communicate mathematical ideas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"b2fcc3fd-bcb6-5ca4-80f3-c2dbd19769d9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb2fcc3fd-bcb6-5ca4-80f3-c2dbd19769d9","fullStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","alternativeLabel":"111.41.c.1.F analyze mathematical relationships to connect and communicate mathematical ideas; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.1.F","listEnumeration":"781","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"50d9a440-3405-5424-b894-9e00ef9a3bf5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems50d9a440-3405-5424-b894-9e00ef9a3bf5","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.41.c.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.1.G","listEnumeration":"782","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"ab383702-bd3a-5c11-998e-fee9233a012f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsab383702-bd3a-5c11-998e-fee9233a012f","fullStatement":"Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to:","alternativeLabel":"111.41.c.2 Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is ex","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.2","listEnumeration":"783","abbreviatedStatement":"Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"a98e7f11-d4c7-5e2a-97e9-b9d970805991","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa98e7f11-d4c7-5e2a-97e9-b9d970805991","fullStatement":"determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint;","alternativeLabel":"111.41.c.2.A determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.2.A","listEnumeration":"784","abbreviatedStatement":"determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"338301ac-69bf-5ee4-9d85-f4f859fd10e0","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems338301ac-69bf-5ee4-9d85-f4f859fd10e0","fullStatement":"derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines; and","alternativeLabel":"111.41.c.2.B derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.2.B","listEnumeration":"785","abbreviatedStatement":"derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"e9a98ca4-6e82-5aee-98c4-79c4a65b0393","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse9a98ca4-6e82-5aee-98c4-79c4a65b0393","fullStatement":"determine an equation of a line parallel or perpendicular to a given line that passes through a given point.","alternativeLabel":"111.41.c.2.C determine an equation of a line parallel or perpendicular to a given line that passes through a given point.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.2.C","listEnumeration":"786","abbreviatedStatement":"determine an equation of a line parallel or perpendicular to a given line that passes through a given point.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"226d6780-1771-5b5a-b576-f9da793792c8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems226d6780-1771-5b5a-b576-f9da793792c8","fullStatement":"Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). The student is expected to:","alternativeLabel":"111.41.c.3 Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reduction","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.3","listEnumeration":"787","abbreviatedStatement":"Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity). The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"335b9fab-586d-5880-812f-761d7e02b6f9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems335b9fab-586d-5880-812f-761d7e02b6f9","fullStatement":"describe and perform transformations of figures in a plane using coordinate notation;","alternativeLabel":"111.41.c.3.A describe and perform transformations of figures in a plane using coordinate notation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.3.A","listEnumeration":"788","abbreviatedStatement":"describe and perform transformations of figures in a plane using coordinate notation;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"193d3f24-89b7-5ca2-b501-5a11a0584621","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems193d3f24-89b7-5ca2-b501-5a11a0584621","fullStatement":"determine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane;","alternativeLabel":"111.41.c.3.B determine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in t","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.3.B","listEnumeration":"789","abbreviatedStatement":"determine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"998653ae-248b-55d1-9b1a-23b3806208f8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems998653ae-248b-55d1-9b1a-23b3806208f8","fullStatement":"identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane; and","alternativeLabel":"111.41.c.3.C identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.3.C","listEnumeration":"790","abbreviatedStatement":"identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"4d2d0169-0ac9-5444-92d3-1c17a545d012","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4d2d0169-0ac9-5444-92d3-1c17a545d012","fullStatement":"identify and distinguish between reflectional and rotational symmetry in a plane figure.","alternativeLabel":"111.41.c.3.D identify and distinguish between reflectional and rotational symmetry in a plane figure.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.3.D","listEnumeration":"791","abbreviatedStatement":"identify and distinguish between reflectional and rotational symmetry in a plane figure.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"c58cbd9b-3c54-5be6-9646-4c2f48e870f6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc58cbd9b-3c54-5be6-9646-4c2f48e870f6","fullStatement":"Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. The student is expected to:","alternativeLabel":"111.41.c.4 Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.4","listEnumeration":"792","abbreviatedStatement":"Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:47+00:00"},{"identifier":"9ce2066e-5abf-57cc-b146-43bac28d8447","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9ce2066e-5abf-57cc-b146-43bac28d8447","fullStatement":"distinguish between undefined terms, definitions, postulates, conjectures, and theorems;","alternativeLabel":"111.41.c.4.A distinguish between undefined terms, definitions, postulates, conjectures, and theorems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.4.A","listEnumeration":"793","abbreviatedStatement":"distinguish between undefined terms, definitions, postulates, conjectures, and theorems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"3b837e4d-01b8-5a47-9a90-80dbd225e5eb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3b837e4d-01b8-5a47-9a90-80dbd225e5eb","fullStatement":"identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse;","alternativeLabel":"111.41.c.4.B identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.4.B","listEnumeration":"794","abbreviatedStatement":"identify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"34ec4973-b6b8-5469-b32d-cc094179955b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems34ec4973-b6b8-5469-b32d-cc094179955b","fullStatement":"verify that a conjecture is false using a counterexample; and","alternativeLabel":"111.41.c.4.C verify that a conjecture is false using a counterexample; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.4.C","listEnumeration":"795","abbreviatedStatement":"verify that a conjecture is false using a counterexample; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"ecb6ffb1-f59d-5b76-80c1-3d53695e738c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsecb6ffb1-f59d-5b76-80c1-3d53695e738c","fullStatement":"compare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle.","alternativeLabel":"111.41.c.4.D compare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.4.D","listEnumeration":"796","abbreviatedStatement":"compare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"5f5fb791-5a2f-5d66-97f4-2fdb74d158b1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5f5fb791-5a2f-5d66-97f4-2fdb74d158b1","fullStatement":"Logical argument and constructions. The student uses constructions to validate conjectures about geometric figures. The student is expected to:","alternativeLabel":"111.41.c.5 Logical argument and constructions. The student uses constructions to validate conjectures about geometric figures. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.5","listEnumeration":"797","abbreviatedStatement":"Logical argument and constructions. The student uses constructions to validate conjectures about geometric figures. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"c9360b94-00ec-52ce-9478-6eb88b381094","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc9360b94-00ec-52ce-9478-6eb88b381094","fullStatement":"investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools;","alternativeLabel":"111.41.c.5.A investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, int","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.5.A","listEnumeration":"798","abbreviatedStatement":"investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"9bc796bd-a967-5a3a-9d51-84c757df2e23","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9bc796bd-a967-5a3a-9d51-84c757df2e23","fullStatement":"construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge;","alternativeLabel":"111.41.c.5.B construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a ","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.5.B","listEnumeration":"799","abbreviatedStatement":"construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"677e6e51-a726-5c11-b1b3-0880c09bec9b","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems677e6e51-a726-5c11-b1b3-0880c09bec9b","fullStatement":"use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships; and","alternativeLabel":"111.41.c.5.C use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.5.C","listEnumeration":"800","abbreviatedStatement":"use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"c7380d70-7de7-5adf-802b-373a7f890283","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc7380d70-7de7-5adf-802b-373a7f890283","fullStatement":"verify the Triangle Inequality theorem using constructions and apply the theorem to solve problems.","alternativeLabel":"111.41.c.5.D verify the Triangle Inequality theorem using constructions and apply the theorem to solve problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.5.D","listEnumeration":"801","abbreviatedStatement":"verify the Triangle Inequality theorem using constructions and apply the theorem to solve problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"b0c843df-78c2-5f45-916c-df2e3dfdea92","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb0c843df-78c2-5f45-916c-df2e3dfdea92","fullStatement":"Proof and congruence. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. The student is expected to:","alternativeLabel":"111.41.c.6 Proof and congruence. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.6","listEnumeration":"802","abbreviatedStatement":"Proof and congruence. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"2d2507e5-7d86-53c2-8232-20693e10d7b9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems2d2507e5-7d86-53c2-8232-20693e10d7b9","fullStatement":"verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems;","alternativeLabel":"111.41.c.6.A verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on it","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.6.A","listEnumeration":"803","abbreviatedStatement":"verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"d1e938c5-bb54-53ed-9e89-43b79f403190","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd1e938c5-bb54-53ed-9e89-43b79f403190","fullStatement":"prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions;","alternativeLabel":"111.41.c.6.B prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.6.B","listEnumeration":"804","abbreviatedStatement":"prove two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"8b3c9d63-da8d-548e-b70e-3e2a64ec7dbe","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8b3c9d63-da8d-548e-b70e-3e2a64ec7dbe","fullStatement":"apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles;","alternativeLabel":"111.41.c.6.C apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.6.C","listEnumeration":"805","abbreviatedStatement":"apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"0f624330-a4ca-5612-a223-5f34c5eba8c3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0f624330-a4ca-5612-a223-5f34c5eba8c3","fullStatement":"verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems; and","alternativeLabel":"111.41.c.6.D verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.6.D","listEnumeration":"806","abbreviatedStatement":"verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"5995087b-f929-5afb-9ffb-7e84c8362f64","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5995087b-f929-5afb-9ffb-7e84c8362f64","fullStatement":"prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems.","alternativeLabel":"111.41.c.6.E prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.6.E","listEnumeration":"807","abbreviatedStatement":"prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"8862ab98-a83c-5756-8ce1-ae194c5b9943","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8862ab98-a83c-5756-8ce1-ae194c5b9943","fullStatement":"Similarity, proof, and trigonometry. The student uses the process skills in applying similarity to solve problems. The student is expected to:","alternativeLabel":"111.41.c.7 Similarity, proof, and trigonometry. The student uses the process skills in applying similarity to solve problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.7","listEnumeration":"808","abbreviatedStatement":"Similarity, proof, and trigonometry. The student uses the process skills in applying similarity to solve problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"9c38d127-cdbd-5d3f-bceb-af852abba080","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9c38d127-cdbd-5d3f-bceb-af852abba080","fullStatement":"apply the definition of similarity in terms of a dilation to identify similar figures and their proportional sides and the congruent corresponding angles; and","alternativeLabel":"111.41.c.7.A apply the definition of similarity in terms of a dilation to identify similar figures and their proportional sides and the congruent corresponding angles; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.7.A","listEnumeration":"809","abbreviatedStatement":"apply the definition of similarity in terms of a dilation to identify similar figures and their proportional sides and the congruent corresponding angles; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"6919cba1-5acb-588c-b9aa-32430ca345d9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6919cba1-5acb-588c-b9aa-32430ca345d9","fullStatement":"apply the Angle-Angle criterion to verify similar triangles and apply the proportionality of the corresponding sides to solve problems.","alternativeLabel":"111.41.c.7.B apply the Angle-Angle criterion to verify similar triangles and apply the proportionality of the corresponding sides to solve problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.7.B","listEnumeration":"810","abbreviatedStatement":"apply the Angle-Angle criterion to verify similar triangles and apply the proportionality of the corresponding sides to solve problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"bc972be0-cd3c-5601-a7e1-d89afce5f9fb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbc972be0-cd3c-5601-a7e1-d89afce5f9fb","fullStatement":"Similarity, proof, and trigonometry. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. The student is expected to:","alternativeLabel":"111.41.c.8 Similarity, proof, and trigonometry. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, para","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.8","listEnumeration":"811","abbreviatedStatement":"Similarity, proof, and trigonometry. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"c1164715-823f-5f37-b318-d2a80c7effaf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc1164715-823f-5f37-b318-d2a80c7effaf","fullStatement":"prove theorems about similar triangles, including the Triangle Proportionality theorem, and apply these theorems to solve problems; and","alternativeLabel":"111.41.c.8.A prove theorems about similar triangles, including the Triangle Proportionality theorem, and apply these theorems to solve problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.8.A","listEnumeration":"812","abbreviatedStatement":"prove theorems about similar triangles, including the Triangle Proportionality theorem, and apply these theorems to solve problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"b6b48849-01bc-5f45-9b51-95252839532a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb6b48849-01bc-5f45-9b51-95252839532a","fullStatement":"identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean, to solve problems.","alternativeLabel":"111.41.c.8.B identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean, to solve problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.8.B","listEnumeration":"813","abbreviatedStatement":"identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean, to solve problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"86f32acd-5b11-523c-b1cc-0e356b2d2453","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems86f32acd-5b11-523c-b1cc-0e356b2d2453","fullStatement":"Similarity, proof, and trigonometry. The student uses the process skills to understand and apply relationships in right triangles. The student is expected to:","alternativeLabel":"111.41.c.9 Similarity, proof, and trigonometry. The student uses the process skills to understand and apply relationships in right triangles. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.9","listEnumeration":"814","abbreviatedStatement":"Similarity, proof, and trigonometry. The student uses the process skills to understand and apply relationships in right triangles. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"8c1cbff1-3e58-5b99-9fb3-41e575a4afd2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8c1cbff1-3e58-5b99-9fb3-41e575a4afd2","fullStatement":"determine the lengths of sides and measures of angles in a right triangle by applying the trigonometric ratios sine, cosine, and tangent to solve problems; and","alternativeLabel":"111.41.c.9.A determine the lengths of sides and measures of angles in a right triangle by applying the trigonometric ratios sine, cosine, and tangent to solve problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.9.A","listEnumeration":"815","abbreviatedStatement":"determine the lengths of sides and measures of angles in a right triangle by applying the trigonometric ratios sine, cosine, and tangent to solve problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"4cccf539-e0d5-547f-b691-66be606bc0a9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4cccf539-e0d5-547f-b691-66be606bc0a9","fullStatement":"apply the relationships in special right triangles 30\u00b0-60\u00b0-90\u00b0 and 45\u00b0-45\u00b0-90\u00b0 and the Pythagorean theorem, including Pythagorean triples, to solve problems.","alternativeLabel":"111.41.c.9.B apply the relationships in special right triangles 30-60-90 and 45-45-90 and the Pythagorean theorem, including Pythagorean triples, to solve problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.9.B","listEnumeration":"816","abbreviatedStatement":"apply the relationships in special right triangles 30\u00b0-60\u00b0-90\u00b0 and 45\u00b0-45\u00b0-90\u00b0 and the Pythagorean theorem, including Pythagorean triples, to solve problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"35579558-4c36-5c5e-a4ac-3606913c3f08","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems35579558-4c36-5c5e-a4ac-3606913c3f08","fullStatement":"Two-dimensional and three-dimensional figures. The student uses the process skills to recognize characteristics and dimensional changes of two- and three-dimensional figures. The student is expected to:","alternativeLabel":"111.41.c.10 Two-dimensional and three-dimensional figures. The student uses the process skills to recognize characteristics and dimensional changes of two- and three-dimensional figures. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.10","listEnumeration":"817","abbreviatedStatement":"Two-dimensional and three-dimensional figures. The student uses the process skills to recognize characteristics and dimensional changes of two- and three-dimensional figures. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"42cc16d6-decb-5666-bcb5-8e3ef4d5c058","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems42cc16d6-decb-5666-bcb5-8e3ef4d5c058","fullStatement":"identify the shapes of two-dimensional cross-sections of prisms, pyramids, cylinders, cones, and spheres and identify three-dimensional objects generated by rotations of two-dimensional shapes; and","alternativeLabel":"111.41.c.10.A identify the shapes of two-dimensional cross-sections of prisms, pyramids, cylinders, cones, and spheres and identify three-dimensional objects generated by rotations of two-dimensional shapes; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.10.A","listEnumeration":"818","abbreviatedStatement":"identify the shapes of two-dimensional cross-sections of prisms, pyramids, cylinders, cones, and spheres and identify three-dimensional objects generated by rotations of two-dimensional shapes; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:48+00:00"},{"identifier":"e0a96092-5e40-50ed-ba44-0390f0263d09","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse0a96092-5e40-50ed-ba44-0390f0263d09","fullStatement":"determine and describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area, or volume, including proportional and non-proportional dimensional change.","alternativeLabel":"111.41.c.10.B determine and describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area, or volume, including proportional and non-proportional dimensional change.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.10.B","listEnumeration":"819","abbreviatedStatement":"determine and describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area, or volume, including proportional and non-proportional dimensional change.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"b1e51399-a7ed-584e-843f-d5757ea5f6c8","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb1e51399-a7ed-584e-843f-d5757ea5f6c8","fullStatement":"Two-dimensional and three-dimensional figures. The student uses the process skills in the application of formulas to determine measures of two- and three-dimensional figures. The student is expected to:","alternativeLabel":"111.41.c.11 Two-dimensional and three-dimensional figures. The student uses the process skills in the application of formulas to determine measures of two- and three-dimensional figures. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.11","listEnumeration":"820","abbreviatedStatement":"Two-dimensional and three-dimensional figures. The student uses the process skills in the application of formulas to determine measures of two- and three-dimensional figures. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"738639c4-15f6-5d18-9fe7-580eb400e4fc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems738639c4-15f6-5d18-9fe7-580eb400e4fc","fullStatement":"apply the formula for the area of regular polygons to solve problems using appropriate units of measure;","alternativeLabel":"111.41.c.11.A apply the formula for the area of regular polygons to solve problems using appropriate units of measure;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.11.A","listEnumeration":"821","abbreviatedStatement":"apply the formula for the area of regular polygons to solve problems using appropriate units of measure;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"dea9c182-425d-53f8-9583-29bff6a5beeb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdea9c182-425d-53f8-9583-29bff6a5beeb","fullStatement":"determine the area of composite two-dimensional figures comprised of a combination of triangles, parallelograms, trapezoids, kites, regular polygons, or sectors of circles to solve problems using appropriate units of measure;","alternativeLabel":"111.41.c.11.B determine the area of composite two-dimensional figures comprised of a combination of triangles, parallelograms, trapezoids, kites, regular polygons, or sectors of circles to solve problems using appropriate units of measure;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.11.B","listEnumeration":"822","abbreviatedStatement":"determine the area of composite two-dimensional figures comprised of a combination of triangles, parallelograms, trapezoids, kites, regular polygons, or sectors of circles to solve problems using appropriate units of measure;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"1ae3abf8-d63f-52fa-a23f-d12842e32d06","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1ae3abf8-d63f-52fa-a23f-d12842e32d06","fullStatement":"apply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure; and","alternativeLabel":"111.41.c.11.C apply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.11.C","listEnumeration":"823","abbreviatedStatement":"apply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"8b82076c-20b2-5152-8147-bf47b834e1ea","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems8b82076c-20b2-5152-8147-bf47b834e1ea","fullStatement":"apply the formulas for the volume of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure.","alternativeLabel":"111.41.c.11.D apply the formulas for the volume of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.11.D","listEnumeration":"824","abbreviatedStatement":"apply the formulas for the volume of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"783c4170-0f1d-5905-9fa7-f27946b31420","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems783c4170-0f1d-5905-9fa7-f27946b31420","fullStatement":"Circles. The student uses the process skills to understand geometric relationships and apply theorems and equations about circles. The student is expected to:","alternativeLabel":"111.41.c.12 Circles. The student uses the process skills to understand geometric relationships and apply theorems and equations about circles. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.12","listEnumeration":"825","abbreviatedStatement":"Circles. The student uses the process skills to understand geometric relationships and apply theorems and equations about circles. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"253a2fa2-32e1-5f0e-b911-b97f023456fe","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems253a2fa2-32e1-5f0e-b911-b97f023456fe","fullStatement":"apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems;","alternativeLabel":"111.41.c.12.A apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.12.A","listEnumeration":"826","abbreviatedStatement":"apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"c51ce2a5-ebe2-544c-b796-fed8051ff693","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc51ce2a5-ebe2-544c-b796-fed8051ff693","fullStatement":"apply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems;","alternativeLabel":"111.41.c.12.B apply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.12.B","listEnumeration":"827","abbreviatedStatement":"apply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"5c6fc238-363e-5a73-9052-158b642b8933","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems5c6fc238-363e-5a73-9052-158b642b8933","fullStatement":"apply the proportional relationship between the measure of the area of a sector of a circle and the area of the circle to solve problems;","alternativeLabel":"111.41.c.12.C apply the proportional relationship between the measure of the area of a sector of a circle and the area of the circle to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.12.C","listEnumeration":"828","abbreviatedStatement":"apply the proportional relationship between the measure of the area of a sector of a circle and the area of the circle to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"3a2f386f-5144-582a-bfe2-3d9a3b9925b1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3a2f386f-5144-582a-bfe2-3d9a3b9925b1","fullStatement":"describe radian measure of an angle as the ratio of the length of an arc intercepted by a central angle and the radius of the circle; and","alternativeLabel":"111.41.c.12.D describe radian measure of an angle as the ratio of the length of an arc intercepted by a central angle and the radius of the circle; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.12.D","listEnumeration":"829","abbreviatedStatement":"describe radian measure of an angle as the ratio of the length of an arc intercepted by a central angle and the radius of the circle; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"61302694-7b1b-5447-aea3-aa2cdd12130f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems61302694-7b1b-5447-aea3-aa2cdd12130f","fullStatement":"show that the equation of a circle with center at the origin and radius $r$ is $x^2 + y^2 = r^2$ and determine the equation for the graph of a circle with radius r and center $(h, k)$, $(x - h)^2 + (y - k)^2 =r^2$.","alternativeLabel":"111.41.c.12.E show that the equation of a circle with center at the origin and radius r is x2 + y2 = r2 and determine the equation for the graph of a circle with radius r and center (h, k), (x - h)2 + (y - k)2 =r2.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.12.E","listEnumeration":"830","abbreviatedStatement":"show that the equation of a circle with center at the origin and radius r is x2 + y2 = r2 and determine the equation for the graph of a circle with radius r and center (h, k), (x - h)2 + (y - k)2 =r2.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"65792b2e-5e89-5865-a4c6-bb69b4d16ff9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems65792b2e-5e89-5865-a4c6-bb69b4d16ff9","fullStatement":"Probability. The student uses the process skills to understand probability in real-world situations and how to apply independence and dependence of events. The student is expected to:","alternativeLabel":"111.41.c.13 Probability. The student uses the process skills to understand probability in real-world situations and how to apply independence and dependence of events. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.41.c.13","listEnumeration":"831","abbreviatedStatement":"Probability. The student uses the process skills to understand probability in real-world situations and how to apply independence and dependence of events. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"bd5f51e5-434e-5b90-98eb-88d66afa1328","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsbd5f51e5-434e-5b90-98eb-88d66afa1328","fullStatement":"develop strategies to use permutations and combinations to solve contextual problems;","alternativeLabel":"111.41.c.13.A develop strategies to use permutations and combinations to solve contextual problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.13.A","listEnumeration":"832","abbreviatedStatement":"develop strategies to use permutations and combinations to solve contextual problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"f48a98a7-d5c4-593e-9170-582839d06948","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf48a98a7-d5c4-593e-9170-582839d06948","fullStatement":"determine probabilities based on area to solve contextual problems;","alternativeLabel":"111.41.c.13.B determine probabilities based on area to solve contextual problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.13.B","listEnumeration":"833","abbreviatedStatement":"determine probabilities based on area to solve contextual problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"3577957e-2a6d-5018-80e5-082cb7d1253c","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3577957e-2a6d-5018-80e5-082cb7d1253c","fullStatement":"identify whether two events are independent and compute the probability of the two events occurring together with or without replacement;","alternativeLabel":"111.41.c.13.C identify whether two events are independent and compute the probability of the two events occurring together with or without replacement;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.13.C","listEnumeration":"834","abbreviatedStatement":"identify whether two events are independent and compute the probability of the two events occurring together with or without replacement;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"624f0b19-4ba4-50ee-87d6-9991e733a169","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems624f0b19-4ba4-50ee-87d6-9991e733a169","fullStatement":"apply conditional probability in contextual problems; and","alternativeLabel":"111.41.c.13.D apply conditional probability in contextual problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.13.D","listEnumeration":"835","abbreviatedStatement":"apply conditional probability in contextual problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"307bc2cb-e52a-5e52-a3fe-62924a4ca36e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems307bc2cb-e52a-5e52-a3fe-62924a4ca36e","fullStatement":"apply independence in contextual problems.","alternativeLabel":"111.41.c.13.E apply independence in contextual problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.41.c.13.E","listEnumeration":"836","abbreviatedStatement":"apply independence in contextual problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"09915ac7-9c23-5336-96a4-b9234c33c9bd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems09915ac7-9c23-5336-96a4-b9234c33c9bd","fullStatement":"Precalculus, Adopted 2012 (One-Half to One Credit).","alternativeLabel":"111.42 Precalculus, Adopted 2012 (One-Half to One Credit).","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.42","listEnumeration":"837","abbreviatedStatement":"Precalculus, Adopted 2012 (One-Half to One Credit).","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"a3e3f685-0f49-5c53-8062-328c568f55b3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa3e3f685-0f49-5c53-8062-328c568f55b3","fullStatement":"General requirements. Students shall be awarded one-half to one credit for successful completion of this course. Prerequisites: Algebra I, Geometry, and Algebra II.","alternativeLabel":"111.42.a General requirements. Students shall be awarded one-half to one credit for successful completion of this course. Prerequisites: Algebra I, Geometry, and Algebra II.","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"1a8b85de-3794-4493-8f66-b6a630235254","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/1a8b85de-3794-4493-8f66-b6a630235254"},"humanCodingScheme":"111.42.a","listEnumeration":"838","abbreviatedStatement":"General requirements. Students shall be awarded one-half to one credit for successful completion of this course. Prerequisites: Algebra I, Geometry, and Algebra II.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"4fd75659-5765-548d-91dd-7a931a733b35","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems4fd75659-5765-548d-91dd-7a931a733b35","fullStatement":"Introduction.","alternativeLabel":"111.42.b Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.42.b","listEnumeration":"839","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"3a234bb9-4bc6-55a6-b92a-6a37ed3919fd","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems3a234bb9-4bc6-55a6-b92a-6a37ed3919fd","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.42.b.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while fo","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.42.b.1","listEnumeration":"840","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"22e2773e-454e-5910-aaf7-d0358a7d161e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems22e2773e-454e-5910-aaf7-d0358a7d161e","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.42.b.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standa","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.42.b.2","listEnumeration":"841","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"029d68a0-2dd4-5d45-bd78-e6dd2855c316","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems029d68a0-2dd4-5d45-bd78-e6dd2855c316","fullStatement":"Precalculus is the preparation for calculus. The course approaches topics from a function point of view, where appropriate, and is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and solving mathematical and real-world problems. Students systematically work with functions and their multiple representations. The study of Precalculus deepens students' mathematical understanding and fluency with algebra and trigonometry and extends their ability to make connections and apply concepts and procedures at higher levels. Students investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems.","alternativeLabel":"111.42.b.3 Precalculus is the preparation for calculus. The course approaches topics from a function point of view, where appropriate, and is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and sol","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.42.b.3","listEnumeration":"842","abbreviatedStatement":"Precalculus is the preparation for calculus. The course approaches topics from a function point of view, where appropriate, and is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when modeling and solving mathematical and real-world problems. Students systematically work with functions and their multiple representations. The study of Precalculus deepens students' mathematical understanding and fluency with algebra and trigonometry and extends their ability to make connections and apply concepts and procedures at higher levels. Students investigate and explore mathematical ideas, develop multiple strategies for analyzing complex situations, and use technology to build understanding, make connections between representations, and provide support in solving problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"cc8d6363-97b3-553a-b89b-b86dd3ee0107","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscc8d6363-97b3-553a-b89b-b86dd3ee0107","fullStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","alternativeLabel":"111.42.b.4 Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.42.b.4","listEnumeration":"843","abbreviatedStatement":"Statements that contain the word \"including\" reference content that must be mastered, while those containing the phrase \"such as\" are intended as possible illustrative examples.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"cadfc19d-5ac6-5bfd-b58d-22cf427a2a9e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemscadfc19d-5ac6-5bfd-b58d-22cf427a2a9e","fullStatement":"Knowledge and skills.","alternativeLabel":"111.42.c Knowledge and skills.","CFItemType":"Knowledge and Skills","CFItemTypeURI":{"title":"Knowledge and Skills","identifier":"286cfc66-1a76-42b0-8884-af5dae51cd97","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/286cfc66-1a76-42b0-8884-af5dae51cd97"},"humanCodingScheme":"111.42.c","listEnumeration":"844","abbreviatedStatement":"Knowledge and skills.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"6ed1b24e-1ca3-5ac1-b026-d85fd73b0853","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems6ed1b24e-1ca3-5ac1-b026-d85fd73b0853","fullStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","alternativeLabel":"111.42.c.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.42.c.1","listEnumeration":"845","abbreviatedStatement":"Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"08b5af25-151f-5324-be7b-cb1848b85b98","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems08b5af25-151f-5324-be7b-cb1848b85b98","fullStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","alternativeLabel":"111.42.c.1.A apply mathematics to problems arising in everyday life, society, and the workplace;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.1.A","listEnumeration":"846","abbreviatedStatement":"apply mathematics to problems arising in everyday life, society, and the workplace;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:50+00:00"},{"identifier":"7800fb70-db31-5715-8c5d-430a956b5859","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems7800fb70-db31-5715-8c5d-430a956b5859","fullStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","alternativeLabel":"111.42.c.1.B use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.1.B","listEnumeration":"847","abbreviatedStatement":"use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"f8750d74-3cca-5c00-ab12-521ea8e73f32","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf8750d74-3cca-5c00-ab12-521ea8e73f32","fullStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","alternativeLabel":"111.42.c.1.C select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.1.C","listEnumeration":"848","abbreviatedStatement":"select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"b158c9df-5ce6-5d2d-9c14-4ea86c6dff2d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb158c9df-5ce6-5d2d-9c14-4ea86c6dff2d","fullStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","alternativeLabel":"111.42.c.1.D communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.1.D","listEnumeration":"849","abbreviatedStatement":"communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"350a3856-25c6-5076-b790-841161ecff22","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems350a3856-25c6-5076-b790-841161ecff22","fullStatement":"create and use representations to organize, record, and communicate mathematical ideas;","alternativeLabel":"111.42.c.1.E create and use representations to organize, record, and communicate mathematical ideas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student 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Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.1.F","listEnumeration":"851","abbreviatedStatement":"analyze mathematical relationships to connect and communicate mathematical ideas; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"30613994-cbd0-5a08-b028-889e7e3f8e89","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems30613994-cbd0-5a08-b028-889e7e3f8e89","fullStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.42.c.1.G display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.1.G","listEnumeration":"852","abbreviatedStatement":"display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"fccaefd3-a5ae-5ed8-81f9-c61b39876de9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfccaefd3-a5ae-5ed8-81f9-c61b39876de9","fullStatement":"Functions. The student uses process standards in mathematics to explore, describe, and analyze the attributes of functions. The student makes connections between multiple representations of functions and algebraically constructs new functions. The student analyzes and uses functions to model real-world problems. The student is expected to:","alternativeLabel":"111.42.c.2 Functions. The student uses process standards in mathematics to explore, describe, and analyze the attributes of functions. The student makes connections between multiple representations of functions and algebraically constructs new functions. ","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.42.c.2","listEnumeration":"853","abbreviatedStatement":"Functions. The student uses process standards in mathematics to explore, describe, and analyze the attributes of functions. The student makes connections between multiple representations of functions and algebraically constructs new functions. The student analyzes and uses functions to model real-world problems. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"ee24a9f1-8afa-5616-b32c-c25a50d16804","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsee24a9f1-8afa-5616-b32c-c25a50d16804","fullStatement":"use the composition of two functions to model and solve real-world problems;","alternativeLabel":"111.42.c.2.A use the composition of two functions to model and solve real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.A","listEnumeration":"854","abbreviatedStatement":"use the composition of two functions to model and solve real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"e09a87d4-7f50-5f71-b3d4-5f917640451e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse09a87d4-7f50-5f71-b3d4-5f917640451e","fullStatement":"demonstrate that function composition is not always commutative;","alternativeLabel":"111.42.c.2.B demonstrate that function composition is not always commutative;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.B","listEnumeration":"855","abbreviatedStatement":"demonstrate that function composition is not always commutative;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"9f868664-af3a-5467-85ca-57eff174e41d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9f868664-af3a-5467-85ca-57eff174e41d","fullStatement":"represent a given function as a composite function of two or more functions;","alternativeLabel":"111.42.c.2.C represent a given function as a composite function of two or more functions;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.C","listEnumeration":"856","abbreviatedStatement":"represent a given function as a composite function of two or more functions;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"e5bd0423-5e96-58f8-badc-b17e63b76aa1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse5bd0423-5e96-58f8-badc-b17e63b76aa1","fullStatement":"describe symmetry of graphs of even and odd functions;","alternativeLabel":"111.42.c.2.D describe symmetry of graphs of even and odd functions;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.D","listEnumeration":"857","abbreviatedStatement":"describe symmetry of graphs of even and odd functions;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"77dc93f8-ab91-59c1-804f-7610d38c26a5","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems77dc93f8-ab91-59c1-804f-7610d38c26a5","fullStatement":"determine an inverse function, when it exists, for a given function over its domain or a subset of its domain and represent the inverse using multiple representations;","alternativeLabel":"111.42.c.2.E determine an inverse function, when it exists, for a given function over its domain or a subset of its domain and represent the inverse using multiple representations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.E","listEnumeration":"858","abbreviatedStatement":"determine an inverse function, when it exists, for a given function over its domain or a subset of its domain and represent the inverse using multiple representations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"a719debd-e322-5c5d-8b5a-939516c3ba66","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa719debd-e322-5c5d-8b5a-939516c3ba66","fullStatement":"graph exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions;","alternativeLabel":"111.42.c.2.F graph exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.F","listEnumeration":"859","abbreviatedStatement":"graph exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"a38510e5-793a-5876-baae-d6374008c236","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa38510e5-793a-5876-baae-d6374008c236","fullStatement":"graph functions, including exponential, logarithmic, sine, cosine, rational, polynomial, and power functions and their transformations, including $af(x)$, $f(x) + d$, $f(x - c)$, $f(bx)$ for specific values of $a$, $b$, $c$, and $d$, in mathematical and real-world problems;","alternativeLabel":"111.42.c.2.G graph functions, including exponential, logarithmic, sine, cosine, rational, polynomial, and power functions and their transformations, including af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d, in mathematical and real","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.G","listEnumeration":"860","abbreviatedStatement":"graph functions, including exponential, logarithmic, sine, cosine, rational, polynomial, and power functions and their transformations, including af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d, in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"9b44358a-e3fe-5890-b3c0-23e5e726f666","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9b44358a-e3fe-5890-b3c0-23e5e726f666","fullStatement":"graph arcsin $x$ and arccos $x$ and describe the limitations on the domain;","alternativeLabel":"111.42.c.2.H graph arcsin x and arccos x and describe the limitations on the domain;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.H","listEnumeration":"861","abbreviatedStatement":"graph arcsin x and arccos x and describe the limitations on the domain;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:51+00:00"},{"identifier":"0b48efb0-87eb-58b8-840a-a74a50a2cd90","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems0b48efb0-87eb-58b8-840a-a74a50a2cd90","fullStatement":"determine and analyze the key features of exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions such as domain, range, symmetry, relative maximum, relative minimum, zeros, asymptotes, and intervals over which the function is increasing or decreasing;","alternativeLabel":"111.42.c.2.I determine and analyze the key features of exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions such as domain, range, symmetry, relative maximum","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.I","listEnumeration":"862","abbreviatedStatement":"determine and analyze the key features of exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions such as domain, range, symmetry, relative maximum, relative minimum, zeros, asymptotes, and intervals over which the function is increasing or decreasing;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"424d20ef-a9f7-5a22-a844-3ba081fa33dc","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems424d20ef-a9f7-5a22-a844-3ba081fa33dc","fullStatement":"analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this characteristic in mathematical and real-world problems;","alternativeLabel":"111.42.c.2.J analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this characteristic in mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.J","listEnumeration":"863","abbreviatedStatement":"analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this characteristic in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"9b476bc8-919e-55da-a2c2-ae7f9e23be40","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems9b476bc8-919e-55da-a2c2-ae7f9e23be40","fullStatement":"analyze characteristics of rational functions and the behavior of the function around the asymptotes, including horizontal, vertical, and oblique asymptotes;","alternativeLabel":"111.42.c.2.K analyze characteristics of rational functions and the behavior of the function around the asymptotes, including horizontal, vertical, and oblique asymptotes;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.K","listEnumeration":"864","abbreviatedStatement":"analyze characteristics of rational functions and the behavior of the function around the asymptotes, including horizontal, vertical, and oblique asymptotes;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"abb1f505-89aa-5b90-89af-15d4c19f4272","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsabb1f505-89aa-5b90-89af-15d4c19f4272","fullStatement":"determine various types of discontinuities in the interval (-\u221e, \u221e) as they relate to functions and explore the limitations of the graphing calculator as it relates to the behavior of the function around discontinuities;","alternativeLabel":"111.42.c.2.L determine various types of discontinuities in the interval (-, ) as they relate to functions and explore the limitations of the graphing calculator as it relates to the behavior of the function around discontinuities;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.L","listEnumeration":"865","abbreviatedStatement":"determine various types of discontinuities in the interval (-\u221e, \u221e) as they relate to functions and explore the limitations of the graphing calculator as it relates to the behavior of the function around discontinuities;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"81fe23a6-7317-51da-bf86-5c1a58977464","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems81fe23a6-7317-51da-bf86-5c1a58977464","fullStatement":"describe the left-sided behavior and the right-sided behavior of the graph of a function around discontinuities;","alternativeLabel":"111.42.c.2.M describe the left-sided behavior and the right-sided behavior of the graph of a function around discontinuities;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.M","listEnumeration":"866","abbreviatedStatement":"describe the left-sided behavior and the right-sided behavior of the graph of a function around discontinuities;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"421b702f-9ced-5ab4-b693-c6e3a1ff895e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems421b702f-9ced-5ab4-b693-c6e3a1ff895e","fullStatement":"analyze situations modeled by functions, including exponential, logarithmic, rational, polynomial, and power functions, to solve real-world problems;","alternativeLabel":"111.42.c.2.N analyze situations modeled by functions, including exponential, logarithmic, rational, polynomial, and power functions, to solve real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.N","listEnumeration":"867","abbreviatedStatement":"analyze situations modeled by functions, including exponential, logarithmic, rational, polynomial, and power functions, to solve real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"c088d933-029e-549e-b14f-5c7ca93f6210","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc088d933-029e-549e-b14f-5c7ca93f6210","fullStatement":"develop and use a sinusoidal function that models a situation in mathematical and real-world problems; and","alternativeLabel":"111.42.c.2.O develop and use a sinusoidal function that models a situation in mathematical and real-world problems; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.O","listEnumeration":"868","abbreviatedStatement":"develop and use a sinusoidal function that models a situation in mathematical and real-world problems; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"428b214a-0f2a-5f69-9bd6-eb8c9bf819b6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems428b214a-0f2a-5f69-9bd6-eb8c9bf819b6","fullStatement":"determine the values of the trigonometric functions at the special angles and relate them in mathematical and real-world problems.","alternativeLabel":"111.42.c.2.P determine the values of the trigonometric functions at the special angles and relate them in mathematical and real-world problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.2.P","listEnumeration":"869","abbreviatedStatement":"determine the values of the trigonometric functions at the special angles and relate them in mathematical and real-world problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"d0161945-67d2-5d56-9170-40fced6d28c7","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsd0161945-67d2-5d56-9170-40fced6d28c7","fullStatement":"Relations and geometric reasoning. The student uses the process standards in mathematics to model and make connections between algebraic and geometric relations. The student is expected to:","alternativeLabel":"111.42.c.3 Relations and geometric reasoning. The student uses the process standards in mathematics to model and make connections between algebraic and geometric relations. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.42.c.3","listEnumeration":"870","abbreviatedStatement":"Relations and geometric reasoning. The student uses the process standards in mathematics to model and make connections between algebraic and geometric relations. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"f94c28dd-fd9f-55cb-80a6-6b8ce41ee93e","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf94c28dd-fd9f-55cb-80a6-6b8ce41ee93e","fullStatement":"graph a set of parametric equations;","alternativeLabel":"111.42.c.3.A graph a set of parametric equations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.3.A","listEnumeration":"871","abbreviatedStatement":"graph a set of parametric equations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"ae042fdc-a857-5208-a936-897b7c77155a","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsae042fdc-a857-5208-a936-897b7c77155a","fullStatement":"convert parametric equations into rectangular relations and convert rectangular relations into parametric equations;","alternativeLabel":"111.42.c.3.B convert parametric equations into rectangular relations and convert rectangular relations into parametric equations;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.3.B","listEnumeration":"872","abbreviatedStatement":"convert parametric equations into rectangular relations and convert rectangular relations into parametric equations;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:52+00:00"},{"identifier":"ebfd74fa-58e9-592b-9368-872c727c24eb","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsebfd74fa-58e9-592b-9368-872c727c24eb","fullStatement":"use parametric equations to model and solve mathematical and real-world problems;","alternativeLabel":"111.42.c.3.C use parametric equations to model and solve mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.3.C","listEnumeration":"873","abbreviatedStatement":"use parametric equations to model and solve mathematical and real-world 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The student uses process standards in mathematics to apply appropriate techniques, tools, and formulas to calculate measures in mathematical and real-world problems. The student is expected to:","alternativeLabel":"111.42.c.4 Number and measure. The student uses process standards in mathematics to apply appropriate techniques, tools, and formulas to calculate measures in mathematical and real-world problems. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.42.c.4","listEnumeration":"880","abbreviatedStatement":"Number and measure. The student uses process standards in mathematics to apply appropriate techniques, tools, and formulas to calculate measures in mathematical and real-world problems. 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The student uses process standards in mathematics to evaluate expressions, describe patterns, formulate models, and solve equations and inequalities using properties, procedures, or algorithms. The student is expected to:","alternativeLabel":"111.42.c.5 Algebraic reasoning. The student uses process standards in mathematics to evaluate expressions, describe patterns, formulate models, and solve equations and inequalities using properties, procedures, or algorithms. The student is expected to:","CFItemType":"Strand","CFItemTypeURI":{"title":"Strand","identifier":"8b4dc17f-439e-4d5c-849c-974088fde9a4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/8b4dc17f-439e-4d5c-849c-974088fde9a4"},"humanCodingScheme":"111.42.c.5","listEnumeration":"892","abbreviatedStatement":"Algebraic reasoning. The student uses process standards in mathematics to evaluate expressions, describe patterns, formulate models, and solve equations and inequalities using properties, procedures, or algorithms. The student is expected to:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"04c194cb-986e-5c4e-b82c-7534ef6a382f","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems04c194cb-986e-5c4e-b82c-7534ef6a382f","fullStatement":"evaluate finite sums and geometric series, when possible, written in sigma notation;","alternativeLabel":"111.42.c.5.A evaluate finite sums and geometric series, when possible, written in sigma notation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.A","listEnumeration":"893","abbreviatedStatement":"evaluate finite sums and geometric series, when possible, written in sigma notation;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"46802658-dcc0-528c-b0cc-6f276035d751","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems46802658-dcc0-528c-b0cc-6f276035d751","fullStatement":"represent arithmetic sequences and geometric sequences using recursive formulas;","alternativeLabel":"111.42.c.5.B represent arithmetic sequences and geometric sequences using recursive formulas;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.B","listEnumeration":"894","abbreviatedStatement":"represent arithmetic sequences and geometric sequences using recursive formulas;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"e75da151-e86e-59fd-9701-cecbc70a97da","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse75da151-e86e-59fd-9701-cecbc70a97da","fullStatement":"calculate the $n^{th}$ term and the $n^{th}$ partial sum of an arithmetic series in mathematical and real-world problems;","alternativeLabel":"111.42.c.5.C calculate the nth term and the nth partial sum of an arithmetic series in mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.C","listEnumeration":"895","abbreviatedStatement":"calculate the nth term and the nth partial sum of an arithmetic series in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"00b2c676-9e8e-5b06-be28-e9ab96268de6","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems00b2c676-9e8e-5b06-be28-e9ab96268de6","fullStatement":"represent arithmetic series and geometric series using sigma notation;","alternativeLabel":"111.42.c.5.D represent arithmetic series and geometric series using sigma notation;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.D","listEnumeration":"896","abbreviatedStatement":"represent arithmetic series and geometric series using sigma 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geometric series, the nth partial sum of a geometric series, and sum of an infinite geometric series when it exists;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"35de25d7-641f-5921-9dff-ec629bb170d9","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems35de25d7-641f-5921-9dff-ec629bb170d9","fullStatement":"apply the Binomial Theorem for the expansion of $(a + b)^n$ in powers of a and b for a positive integer $n$, where $a$ and $b$ are any numbers;","alternativeLabel":"111.42.c.5.F apply the Binomial Theorem for the expansion of (a + b)n in powers of a and b for a positive integer n, where a and b are any numbers;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.F","listEnumeration":"898","abbreviatedStatement":"apply the Binomial Theorem for the expansion of (a + b)n in powers of a and b for a positive integer n, where a and b are any numbers;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"b636241d-10f0-57d9-b521-9d1a69f4f363","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsb636241d-10f0-57d9-b521-9d1a69f4f363","fullStatement":"use the properties of logarithms to evaluate or transform logarithmic expressions;","alternativeLabel":"111.42.c.5.G use the properties of logarithms to evaluate or transform logarithmic expressions;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.G","listEnumeration":"899","abbreviatedStatement":"use the properties of logarithms to evaluate or transform logarithmic expressions;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"c508363a-fb90-5651-912d-911993a44eed","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsc508363a-fb90-5651-912d-911993a44eed","fullStatement":"generate and solve logarithmic equations in mathematical and real-world problems;","alternativeLabel":"111.42.c.5.H generate and solve logarithmic equations in mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.H","listEnumeration":"900","abbreviatedStatement":"generate and solve logarithmic equations in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"257e259a-c46d-5182-ba9c-d3ae40808591","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems257e259a-c46d-5182-ba9c-d3ae40808591","fullStatement":"generate and solve exponential equations in mathematical and real-world problems;","alternativeLabel":"111.42.c.5.I generate and solve exponential equations in mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.I","listEnumeration":"901","abbreviatedStatement":"generate and solve exponential equations in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"198f0f7f-5af1-527e-a54b-e27d8cf171c4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems198f0f7f-5af1-527e-a54b-e27d8cf171c4","fullStatement":"solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems;","alternativeLabel":"111.42.c.5.J solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.J","listEnumeration":"902","abbreviatedStatement":"solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"26cd38a1-f341-5687-a275-b9c00b14718d","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems26cd38a1-f341-5687-a275-b9c00b14718d","fullStatement":"solve polynomial inequalities with real coefficients by applying a variety of techniques and write the solution set of the polynomial inequality in interval notation in mathematical and real-world problems;","alternativeLabel":"111.42.c.5.K solve polynomial inequalities with real coefficients by applying a variety of techniques and write the solution set of the polynomial inequality in interval notation in mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.K","listEnumeration":"903","abbreviatedStatement":"solve polynomial inequalities with real coefficients by applying a variety of techniques and write the solution set of the polynomial inequality in interval notation in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"87ff8f42-cff1-5f24-bb1e-05079d4d7929","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems87ff8f42-cff1-5f24-bb1e-05079d4d7929","fullStatement":"solve rational inequalities with real coefficients by applying a variety of techniques and write the solution set of the rational inequality in interval notation in mathematical and real-world problems;","alternativeLabel":"111.42.c.5.L solve rational inequalities with real coefficients by applying a variety of techniques and write the solution set of the rational inequality in interval notation in mathematical and real-world problems;","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.L","listEnumeration":"904","abbreviatedStatement":"solve rational inequalities with real coefficients by applying a variety of techniques and write the solution set of the rational inequality in interval notation in mathematical and real-world problems;","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:53+00:00"},{"identifier":"dca2a200-6164-57cd-b0bb-600f161d89b4","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsdca2a200-6164-57cd-b0bb-600f161d89b4","fullStatement":"use trigonometric identities such as reciprocal, quotient, Pythagorean, cofunctions, even/odd, and sum and difference identities for cosine and sine to simplify trigonometric expressions; and","alternativeLabel":"111.42.c.5.M use trigonometric identities such as reciprocal, quotient, Pythagorean, cofunctions, even/odd, and sum and difference identities for cosine and sine to simplify trigonometric expressions; and","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.M","listEnumeration":"905","abbreviatedStatement":"use trigonometric identities such as reciprocal, quotient, Pythagorean, cofunctions, even/odd, and sum and difference identities for cosine and sine to simplify trigonometric expressions; and","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:54+00:00"},{"identifier":"a36a3283-63b6-5e63-a2d0-c6662a392eb2","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsa36a3283-63b6-5e63-a2d0-c6662a392eb2","fullStatement":"generate and solve trigonometric equations in mathematical and real-world problems.","alternativeLabel":"111.42.c.5.N generate and solve trigonometric equations in mathematical and real-world problems.","CFItemType":"Student Expectation","CFItemTypeURI":{"title":"Student Expectation","identifier":"ab9b87c1-37c6-4981-987c-c15f320739ad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ab9b87c1-37c6-4981-987c-c15f320739ad"},"humanCodingScheme":"111.42.c.5.N","listEnumeration":"906","abbreviatedStatement":"generate and solve trigonometric equations in mathematical and real-world problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:54+00:00"},{"identifier":"592668c6-842c-526c-98c8-33ad01693dc3","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems592668c6-842c-526c-98c8-33ad01693dc3","fullStatement":"Mathematical Models with Applications, Adopted 2012 (One Credit).","alternativeLabel":"111.43 Mathematical Models with Applications, Adopted 2012 (One Credit).","CFItemType":"Grade/Course","CFItemTypeURI":{"title":"Grade/Course","identifier":"ba560cd5-bd00-4867-9523-39dc42de0aad","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/ba560cd5-bd00-4867-9523-39dc42de0aad"},"humanCodingScheme":"111.43","listEnumeration":"907","abbreviatedStatement":"Mathematical Models with Applications, Adopted 2012 (One Credit).","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:54+00:00"},{"identifier":"f4f39535-a25d-57ed-ba8d-90bf03c680bf","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsf4f39535-a25d-57ed-ba8d-90bf03c680bf","fullStatement":"General requirements. Students can be awarded one credit for successful completion of this course. Prerequisite: Algebra I.","alternativeLabel":"111.43.a General requirements. Students can be awarded one credit for successful completion of this course. Prerequisite: Algebra I.","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"1a8b85de-3794-4493-8f66-b6a630235254","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/1a8b85de-3794-4493-8f66-b6a630235254"},"humanCodingScheme":"111.43.a","listEnumeration":"908","abbreviatedStatement":"General requirements. Students can be awarded one credit for successful completion of this course. Prerequisite: Algebra I.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:54+00:00"},{"identifier":"e14116e2-2824-5f03-9d71-f47815858772","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse14116e2-2824-5f03-9d71-f47815858772","fullStatement":"Introduction.","alternativeLabel":"111.43.b Introduction.","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.43.b","listEnumeration":"909","abbreviatedStatement":"Introduction.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:54+00:00"},{"identifier":"ce6e9547-8f87-5c94-9ec0-8a5653579d23","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsce6e9547-8f87-5c94-9ec0-8a5653579d23","fullStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","alternativeLabel":"111.43.b.1 The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while fo","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.43.b.1","listEnumeration":"910","abbreviatedStatement":"The desire to achieve educational excellence is the driving force behind the Texas essential knowledge and skills for mathematics, guided by the college and career readiness standards. By embedding statistics, probability, and finance, while focusing on fluency and solid understanding, Texas will lead the way in mathematics education and prepare all Texas students for the challenges they will face in the 21st century.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:54+00:00"},{"identifier":"1fa85467-f2ca-5532-8835-eb4877295aca","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItems1fa85467-f2ca-5532-8835-eb4877295aca","fullStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","alternativeLabel":"111.43.b.2 The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standa","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.43.b.2","listEnumeration":"911","abbreviatedStatement":"The process standards describe ways in which students are expected to engage in the content. The placement of the process standards at the beginning of the knowledge and skills listed for each grade and course is intentional. The process standards weave the other knowledge and skills together so that students may be successful problem solvers and use mathematics efficiently and effectively in daily life. The process standards are integrated at every grade level and course. When possible, students will apply mathematics to problems arising in everyday life, society, and the workplace. Students will use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution. Students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively communicate mathematical ideas, reasoning, and their implications using multiple representations such as symbols, diagrams, graphs, and language. Students will use mathematical relationships to generate solutions and make connections and predictions. Students will analyze mathematical relationships to connect and communicate mathematical ideas. Students will display, explain, or justify mathematical ideas and arguments using precise mathematical language in written or oral communication.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:54+00:00"},{"identifier":"e2e4cea8-e509-5f0e-9e39-33d7aad1f602","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse2e4cea8-e509-5f0e-9e39-33d7aad1f602","fullStatement":"Mathematical Models with Applications is designed to build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I. This mathematics course provides a path for students to succeed in Algebra II and prepares them for various post-secondary choices. Students learn to apply mathematics through experiences in personal finance, science, engineering, fine arts, and social sciences. Students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, model information, solve problems, and communicate solutions. Students will select from tools such as physical objects; manipulatives; technology, including graphing calculators, data collection devices, and computers; and paper and pencil and from methods such as algebraic techniques, geometric reasoning, patterns, and mental math to solve problems.","alternativeLabel":"111.43.b.3 Mathematical Models with Applications is designed to build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I. This mathematics course provides a path for students to succeed in Algebra II and prepares them for va","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.43.b.3","listEnumeration":"912","abbreviatedStatement":"Mathematical Models with Applications is designed to build on the knowledge and skills for mathematics in Kindergarten-Grade 8 and Algebra I. This mathematics course provides a path for students to succeed in Algebra II and prepares them for various post-secondary choices. Students learn to apply mathematics through experiences in personal finance, science, engineering, fine arts, and social sciences. Students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, model information, solve problems, and communicate solutions. Students will select from tools such as physical objects; manipulatives; technology, including graphing calculators, data collection devices, and computers; and paper and pencil and from methods such as algebraic techniques, geometric reasoning, patterns, and mental math to solve problems.","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:54+00:00"},{"identifier":"e13eb7c2-9011-53ab-ae4f-c3d45ae6f808","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemse13eb7c2-9011-53ab-ae4f-c3d45ae6f808","fullStatement":"In Mathematical Models with Applications, students will use a mathematical modeling cycle to analyze problems, understand problems better, and improve decisions. A basic mathematical modeling cycle is summarized in this paragraph. The student will:","alternativeLabel":"111.43.b.4 In Mathematical Models with Applications, students will use a mathematical modeling cycle to analyze problems, understand problems better, and improve decisions. A basic mathematical modeling cycle is summarized in this paragraph. The student w","CFItemType":"Introduction","CFItemTypeURI":{"title":"Introduction","identifier":"6d383386-1b67-46f4-913f-8f85fe91c3f1","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemTypes/6d383386-1b67-46f4-913f-8f85fe91c3f1"},"humanCodingScheme":"111.43.b.4","listEnumeration":"913","abbreviatedStatement":"In Mathematical Models with Applications, students will use a mathematical modeling cycle to analyze problems, understand problems better, and improve decisions. A basic mathematical modeling cycle is summarized in this paragraph. The student will:","language":"en","statusStartDate":"2018-09-25","statusEndDate":"2018-09-25","lastChangeDateTime":"2022-04-11T13:12:54+00:00"},{"identifier":"fccb47b9-9c79-5b27-a34d-6c7b655ae704","uri":"https://teks-api.texasgateway.org/ims/case/v1p0/CFItemsfccb47b9-9c79-5b27-a34d-6c7b655ae704","fullStatement":"represent:","alt