{"CFDocument":{"identifier":"fc583d8a-05fd-11e8-bafe-3b6c13d563a2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFDocuments/fc583d8a-05fd-11e8-bafe-3b6c13d563a2","creator":"Smarter Balanced_Math Claim 1 Item Specifications","title":"HS Mathematics Item Specification C1 TL","lastChangeDateTime":"2022-09-23T23:36:02+00:00","officialSourceURL":"https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1L_Func_Spec_V3_phase3.docx","publisher":"Smarter Balanced Assessment Consortium","subject":["Math"],"subjectURI":[{"title":"Math","identifier":"d41fb0f6-b390-11e7-9a98-233b080813ce","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFSubjects/d41fb0f6-b390-11e7-9a98-233b080813ce"}],"adoptionStatus":"Draft","notes":"HS_1L_Func_Spec_V3_phase3"},"CFItems":[{"identifier":"5e0e36f6-05fe-11e8-803a-4309edc69437","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5e0e36f6-05fe-11e8-803a-4309edc69437","fullStatement":"NA","CFItemType":"Clarification","CFItemTypeURI":{"title":"Clarification","identifier":"f6e54927-6d0a-4ed6-94f7-3ee1f5ca4fcf","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f6e54927-6d0a-4ed6-94f7-3ee1f5ca4fcf"},"abbreviatedStatement":"Clarifications","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:21:51+00:00"},{"identifier":"5f2eecd8-05fe-11e8-88fc-d7a397734eb4","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f2eecd8-05fe-11e8-88fc-d7a397734eb4","fullStatement":"Item Writing and Scoring Guidelines","CFItemType":"Section Heading","CFItemTypeURI":{"title":"Section Heading","identifier":"ab8e8fdc-baaa-400f-9dc8-7b737f8b86ff","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/ab8e8fdc-baaa-400f-9dc8-7b737f8b86ff"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:21:51+00:00"},{"identifier":"5f2f62d0-05fe-11e8-8d63-6d3fc59e00a4","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f2f62d0-05fe-11e8-8d63-6d3fc59e00a4","fullStatement":"Students should be able to interpret linear functions in context, and given the key features of a linear graph, they should be able to identify the appropriate graph.","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"abbreviatedStatement":"Level 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:22:09+00:00"},{"identifier":"5f2f284c-05fe-11e8-a25a-11544341aeca","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f2f284c-05fe-11e8-a25a-11544341aeca","fullStatement":"RANGE Achievement Level Descriptors (Range ALDs)","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:44:31+00:00"},{"identifier":"5f2f7da6-05fe-11e8-b566-2be6b175d86e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f2f7da6-05fe-11e8-b566-2be6b175d86e","fullStatement":"Students should be able to interpret quadratic and other polynomial functions in two variables in context of the situation, and given the key features of a graph of a polynomial function, they should be able to identify the appropriate graph. They should be able to specify the average rate of change from an equation of a linear function and approximate it from a graph of a linear function.","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"abbreviatedStatement":"Level 2","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:22:19+00:00"},{"identifier":"5f2f964c-05fe-11e8-9dea-a179ec51f7a4","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f2f964c-05fe-11e8-9dea-a179ec51f7a4","fullStatement":"Students should be able to graph various types of functions and interpret and relate key features, including range and domain, in familiar or scaffolded contexts. They should be able to specify the average rate of change of a function on a given domain from its equation or approximate the average rate of change of a function from its graph.","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"abbreviatedStatement":"Level 3","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:22:29+00:00"},{"identifier":"5f2faff6-05fe-11e8-afe6-4f3dec898667","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f2faff6-05fe-11e8-afe6-4f3dec898667","fullStatement":"Students should be able to interpret complex key features such as holes, symmetries, and end behavior of graphs and functions in unfamiliar problems or contexts.","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"abbreviatedStatement":"Level 4","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:22:40+00:00"},{"identifier":"5f300f00-05fe-11e8-8269-e37006e8b0d5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f300f00-05fe-11e8-8269-e37006e8b0d5","fullStatement":"The student interprets key features of a graph or a table representing a function modeling a relationship between two quantities.","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:22:54+00:00"},{"identifier":"5f2fc96e-05fe-11e8-998f-2d63b5ae00d9","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f2fc96e-05fe-11e8-998f-2d63b5ae00d9","fullStatement":"Evidence Required","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:44:31+00:00"},{"identifier":"5f303e58-05fe-11e8-8cfe-974687eb784c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f303e58-05fe-11e8-8cfe-974687eb784c","fullStatement":"The student sketches graphs showing key features given a verbal description of a relationship between two quantities that can be modeled with a function.","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 2","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:23:07+00:00"},{"identifier":"5f306ee6-05fe-11e8-8154-f159e37485a6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f306ee6-05fe-11e8-8154-f159e37485a6","fullStatement":"The student relates the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 3","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:23:21+00:00"},{"identifier":"5f30bbb2-05fe-11e8-acbf-bd297708d440","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f30bbb2-05fe-11e8-acbf-bd297708d440","fullStatement":"The student calculates and interprets the average rate of change of a function presented symbolically or as a table and estimates the rate of change of a function from a graph.","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 4","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:23:32+00:00"},{"identifier":"5f3195fa-05fe-11e8-8e1b-a7076e4a004b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f3195fa-05fe-11e8-8e1b-a7076e4a004b","fullStatement":"*x*-intercept, *y*-intercept, interval, increasing interval, decreasing interval, relative maximum, relative minimum, symmetry, axis of symmetry, end behavior of a graph, limit, periodicity, average rate of change","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Key/Construct Relevant Vocabulary","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:24:04+00:00"},{"identifier":"5f314c12-05fe-11e8-8f25-831a10a3c79f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f314c12-05fe-11e8-8f25-831a10a3c79f","fullStatement":"General Item Information","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:44:31+00:00"},{"identifier":"5f31b24c-05fe-11e8-81be-83ba247b4832","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f31b24c-05fe-11e8-81be-83ba247b4832","fullStatement":"Calculator","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:24:14+00:00"},{"identifier":"5f31cc5a-05fe-11e8-9883-a300ff66edbd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f31cc5a-05fe-11e8-9883-a300ff66edbd","fullStatement":"Key features include *x*- and *y*-intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.\r\n\r\nFunctions are in two variables.","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Target-Specific Attributes","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:24:29+00:00"},{"identifier":"5f31e578-05fe-11e8-898c-7560be29507c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f31e578-05fe-11e8-898c-7560be29507c","fullStatement":"None","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Non-Target Constructs","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:44:43+00:00"},{"identifier":"5f31ff22-05fe-11e8-ba86-1b960988238d","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f31ff22-05fe-11e8-ba86-1b960988238d","fullStatement":"Tasks for this target will require students to sketch graphs based on given key features and to interpret key features of graphs, with emphasis on interpreting the average rate of change over a specified interval. Interpretation of rate of change and other key features (intercepts, relative maximums and minimums, symmetries, and end behavior) will often be assessed in the context of problems associated with Claims 2\u20134.","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Development Notes","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:24:44+00:00"},{"identifier":"5f32184a-05fe-11e8-8e47-9b5a0136d6cb","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f32184a-05fe-11e8-8e47-9b5a0136d6cb","fullStatement":"written description of key features of a function, graphs of functions in the coordinate plane, tables containing domain and range values of functions, functions presented symbolically","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Allowable Stimulus Materials","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:23:44+00:00"},{"identifier":"5f323320-05fe-11e8-8c8e-7f12d44f956a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5f323320-05fe-11e8-8c8e-7f12d44f956a","fullStatement":"Item writers should consider the following Language and Visual Element/Design guidelines [1] when developing items.\r\n\r\nLanguage Key Considerations:\r\n\r\n- Use simple, clear, and easy-to-understand language needed to assess the construct or aid in the understanding of the context\r\n\r\n- Avoid sentences with multiple clauses\r\n\r\n- Use vocabulary that is at or below grade level\r\n\r\n- Avoid ambiguous or obscure words, idioms, jargon, unusual names and references\r\n\r\nVisual Elements/Design Key Considerations:\r\n\r\n- Include visual elements only if the graphic is needed to assess the construct or it aids in the understanding of the context\r\n\r\n- Use the simplest graphic possible with the greatest degree of contrast, and include clear, concise labels where necessary\r\n\r\n- Avoid crowding of details and graphics\r\n\r\nItems are selected for a student\u2019s test according to the blueprint, which selects items based on Claims and targets, not task models.\r\n\r\nAs such, careful consideration is given to making sure fully accessible items are available to cover the content of every Claim and target, even if some item formats are not fully accessible using current technology.[2]\r\n\r\n[1] For more information, refer to the General Accessibility Guidelines at [https://portal.smarterbalanced.org/library/en/general-accessibility-guidelines.pdf](https://portal.smarterbalanced.org/library/en/general-accessibility-guidelines.pdf) \r\n\r\n[2] For more information about student accessibility resources and policies,\r\nrefer to [https://portal.smarterbalanced.org/library/en/usability-accessibility-and-accommodations-guidelines.pdf](https://portal.smarterbalanced.org/library/en/usability-accessibility-and-accommodations-guidelines.pdf)","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Concerns/Guidance","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-21T17:22:18+00:00"},{"identifier":"606fcaea-05fe-11e8-b890-2b5d9a4814d9","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/606fcaea-05fe-11e8-b890-2b5d9a4814d9","fullStatement":"Task Models","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:21:51+00:00"},{"identifier":"6070afd2-05fe-11e8-a1c7-c98778dda79c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6070afd2-05fe-11e8-a1c7-c98778dda79c","fullStatement":"**Prompt Features:** The student is prompted to identify true statements regarding key features of a given graph of a function that models a relationship between two quantities. The statements will be in the context of the relationship being modeled. Key features include the following:\r\n\r\n- intercepts\r\n\r\n- intervals where the function is increasing or decreasing, positive or\r\n negative\r\n\r\n- relative maximums and minimums\r\n\r\n- symmetries\r\n\r\n- asymptotes or end behavior\r\n\r\n- periodicity\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Item difficulty can be adjusted via these example methods, but is not limited to these methods:\r\n\r\n - The graph or table represents a function with either one relative maximum or minimum (e.g., quadratic).\r\n\r\n - The graph or table represents a function with multiple relative maximums or minimums.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-17T22:47:28+00:00"},{"identifier":"60706b12-05fe-11e8-bebc-bd70256af112","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60706b12-05fe-11e8-bebc-bd70256af112","fullStatement":"Task Model 1a","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"notes":"**Version 3 Update:**\r\nRetired TM1a example stem 2.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:27:18+00:00"},{"identifier":"6070cd46-05fe-11e8-a0db-1d6b0f4740ea","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6070cd46-05fe-11e8-a0db-1d6b0f4740ea","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:04+00:00"},{"identifier":"6070f78a-05fe-11e8-9b38-759d20e9cc5d","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6070f78a-05fe-11e8-9b38-759d20e9cc5d","fullStatement":"**Example Stem:** This graph shows the population of mice in a study, modeled as a function of time. The study begins on day 0 and ends on day 200.\r\n\r\n\r\n\r\nDetermine whether each statement is true according to the graph. Select True or False for each statement.\r\n\r\n| **Statement** | **True** | **False** |\r\n|---------------------------------------------------------------------------|----------|-----------|\r\n| The mouse population was decreasing between day 40 and day 80. | | |\r\n| The least number of mice during the study was 130. | | |\r\n| The mouse population was at its greatest around day 160. | | |\r\n| There are two intervals of time where the mouse population is decreasing. | | |\r\n\r\n
\r\n\r\n**Rubric:** (1 point) The student correctly selects true or false for each of the interpretations of key features of the graph (e.g. T, F, T, T).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:26:35+00:00"},{"identifier":"607115c6-05fe-11e8-be9b-054d5f72de4f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/607115c6-05fe-11e8-be9b-054d5f72de4f","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:04+00:00"},{"identifier":"60713394-05fe-11e8-b48e-798fe0a57d73","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60713394-05fe-11e8-b48e-798fe0a57d73","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:27:09+00:00"},{"identifier":"60715090-05fe-11e8-bf57-b33f9c60e06c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60715090-05fe-11e8-bf57-b33f9c60e06c","fullStatement":"The student is given a graph representing a function that models the relationship between two quantities in a real-world situation familiar to 15- to 17-year-olds, e.g., temperature change over time, or population change over a period of time.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:26:26+00:00"},{"identifier":"6071b10c-05fe-11e8-b957-c362601491ae","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6071b10c-05fe-11e8-b957-c362601491ae","fullStatement":"**Prompt Features:** The student is prompted to identify points on a given graph that correspond to key features of events within a contextual situation. The graph is the representation of a function modeling the contextual situation. Key features include the following:\r\n\r\n- intercepts\r\n\r\n- intervals where the function is increasing or decreasing, positive or negative\r\n\r\n- relative maximums and minimums\r\n\r\n- symmetries\r\n\r\n- asymptotes or end behavior\r\n\r\n- periodicity\r\n\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Item difficulty can be adjusted via these example methods, but is not limited to these methods:\r\n\r\n- The graph or table represents a function with either one relative maximum or minimum (e.g., quadratic).\r\n\r\n- The graph or table represents a function with multiple relative maximums or minimums.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:27:58+00:00"},{"identifier":"60716db4-05fe-11e8-8976-bd726f7f8858","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60716db4-05fe-11e8-8976-bd726f7f8858","fullStatement":"Task Model 1b","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:44:33+00:00"},{"identifier":"6071cffc-05fe-11e8-b1ef-9b202c905682","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6071cffc-05fe-11e8-b1ef-9b202c905682","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:09+00:00"},{"identifier":"6071f928-05fe-11e8-9f8b-35942672765c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6071f928-05fe-11e8-9f8b-35942672765c","fullStatement":"**Example Stem:** A bird flies out of its nest. This graph represents the distance it flies from its nest (in meters) as a function of time (in seconds).\r\n\r\n\r\n\r\nDrag the star to mark the point on the graph that represents the bird\u2019s greatest distance from its nest. Then drag the circle to mark the point that represents he bird's return to its nest.\r\n\r\n**Interaction:**\r\n\r\nThe student drags the star and circle to the correct points on the graph.\r\n\r\n**Rubric:** (1 point) The student correctly identifies the point representing the bird\u2019s farthest distance from the nest and the point where the bird returns [e.g., approximately (7, 5.2) and (8.7, 0)].","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:26:57+00:00"},{"identifier":"607217e6-05fe-11e8-a119-dd1abaa38597","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/607217e6-05fe-11e8-a119-dd1abaa38597","fullStatement":"Hot Spot items are not currently able to be Brailled. Minimize the number of items developed to this TM.","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:28:54+00:00"},{"identifier":"60723474-05fe-11e8-a883-9bc8bb471395","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60723474-05fe-11e8-a883-9bc8bb471395","fullStatement":"The student is given a graph representing a function that models the relationship between two quantities in a real-world situation familiar to 15- to 17-year-olds, e.g., temperature change over time, or population change over a period of time.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:28:10+00:00"},{"identifier":"60725260-05fe-11e8-b0ff-afd120803f12","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60725260-05fe-11e8-b0ff-afd120803f12","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:29:01+00:00"},{"identifier":"6072b6f6-05fe-11e8-92fb-db1fa30f9dea","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6072b6f6-05fe-11e8-92fb-db1fa30f9dea","fullStatement":"**Prompt Features:** The student is prompted to sketch a graph (or points on a graph) showing key features given a verbal description of a relationship between two quantities. Key features include the following:\r\n\r\n- intercepts\r\n\r\n- intervals where the function is increasing or decreasing, positive or negative\r\n\r\n- relative maximums and minimums\r\n\r\n- symmetries\r\n\r\n- asymptotes or end behavior\r\n\r\n- periodicity\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Item difficulty can be adjusted via these example methods, but is not limited to these methods:\r\n\r\n - A linear relationship that includes\r\n\r\n - a rate and an intercept, or\r\n\r\n - two intercepts.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-17T22:48:14+00:00"},{"identifier":"60727100-05fe-11e8-8d36-9d44d5e3c26b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60727100-05fe-11e8-8d36-9d44d5e3c26b","fullStatement":"Task Model 2","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:45:18+00:00"},{"identifier":"6072d5d2-05fe-11e8-9b8a-6f9dda265de2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6072d5d2-05fe-11e8-9b8a-6f9dda265de2","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:12+00:00"},{"identifier":"6072ffe4-05fe-11e8-b7e9-fd6e6161c8af","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6072ffe4-05fe-11e8-b7e9-fd6e6161c8af","fullStatement":"**Example Stem 1:** Mary is 10 miles from her home.\r\n\r\n- She is returning home, walking at a constant speed of 2 miles per hour.\r\n\r\n- Her distance from home can be modeled as a function of time.\r\n\r\n\r\n\r\nUse the Add Point and Connect Line tools to graph Mary\u2019s distance from home as a function of time.\r\n\r\n**Interaction:** The student uses the Add Point tool to place points on the grid, and the Connect Line tool to connect the points.\r\n\r\n**Rubric:** (1 point) The student creates the graph correctly (e.g., see below).\r\n\r\n","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:27:17+00:00"},{"identifier":"60731e7a-05fe-11e8-a7e2-91c13c235916","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60731e7a-05fe-11e8-a7e2-91c13c235916","fullStatement":"Graphing items are not currently able to be Brailled. Minimize the number of items developed to this TM.","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:32:06+00:00"},{"identifier":"60733c3e-05fe-11e8-98a1-eb8eeb2da377","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60733c3e-05fe-11e8-98a1-eb8eeb2da377","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:32:13+00:00"},{"identifier":"607359ee-05fe-11e8-ad01-d3e0884bf0a9","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/607359ee-05fe-11e8-ad01-d3e0884bf0a9","fullStatement":"The student is presented with a contextual situation, familiar to 15- to 17-year-olds, where a function can model a relationship between two quantities.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:29:39+00:00"},{"identifier":"6073bc9a-05fe-11e8-a6a5-852126e112d4","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6073bc9a-05fe-11e8-a6a5-852126e112d4","fullStatement":"**Prompt Features:** The student is prompted to relate the domain of a function to its graph and to the quantitative relationship it describes.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- The graphs must represent linear, quadratic, and other polynomial functions defined by a context and apply appropriate labels and scales.\r\n\r\n- Item difficulty can be adjusted via these example methods, but is not limited to these methods:\r\n\r\n - Representing a linear function\r\n\r\n - Representing a quadratic function\r\n\r\n - Representing an exponential function\r\n\r\n - Representing a trigonometric function","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:32:52+00:00"},{"identifier":"60737852-05fe-11e8-ad01-8f03c07e6286","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60737852-05fe-11e8-ad01-8f03c07e6286","fullStatement":"Task Model 3a","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:45:35+00:00"},{"identifier":"6073da90-05fe-11e8-91fc-4b32f62cbd21","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6073da90-05fe-11e8-91fc-4b32f62cbd21","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:16+00:00"},{"identifier":"6074047a-05fe-11e8-a287-9bca4c8e15ef","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6074047a-05fe-11e8-a287-9bca4c8e15ef","fullStatement":"**Example Stem:** Select the graph that correctly represents the amount of money, *y*, Jack earns doing chores for *x* hours at \\$2 per hour.\r\n\r\nA.\r\n\r\n\r\n\r\nB.\r\n\r\n\r\n\r\nC.\r\n\r\n\r\n\r\nD.\r\n\r\n\r\n\r\n
\r\n\r\n**Rubric:** (1 point) The student identifies the correct graph (e.g., D).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:28:15+00:00"},{"identifier":"6074232e-05fe-11e8-89d0-9f679fbd83f8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6074232e-05fe-11e8-89d0-9f679fbd83f8","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:16+00:00"},{"identifier":"6074412e-05fe-11e8-afd5-2bfeda402599","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6074412e-05fe-11e8-afd5-2bfeda402599","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-31T09:45:50+00:00"},{"identifier":"60745e5c-05fe-11e8-8caa-c9533e58ac3e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60745e5c-05fe-11e8-8caa-c9533e58ac3e","fullStatement":"The student is presented with four graphs of a function in the coordinate plane, with the graphs in various intervals of positive and negative *x*-values.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:33:08+00:00"},{"identifier":"6074c0b8-05fe-11e8-9c8d-bf1571198509","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6074c0b8-05fe-11e8-9c8d-bf1571198509","fullStatement":"**Prompt Features:** The student is prompted to select the correct statement describing the domain a function modeling a contextual situation.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:34:05+00:00"},{"identifier":"60747c16-05fe-11e8-b466-65193d8ecd21","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60747c16-05fe-11e8-b466-65193d8ecd21","fullStatement":"Task Model 3b","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:45:41+00:00"},{"identifier":"6074df62-05fe-11e8-aeed-91c9a9899ff2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6074df62-05fe-11e8-aeed-91c9a9899ff2","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:20+00:00"},{"identifier":"60751068-05fe-11e8-99d5-0bdeaa96aef6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60751068-05fe-11e8-99d5-0bdeaa96aef6","fullStatement":"**Example Stem:** Billy buys light bulbs in packs of 8 for \\$20. The shipping cost is \\$10 regardless of the number of packs bought. Billy has only \\$120 to spend.\r\n\r\nIf *n* is the number of packs of lightbulbs bought, then the cost per lightbulb, *C*, can be modeled as a function of *n*. Select the statement that correctly describes the domain of the function.\r\n\r\nA. The domain is the set of all **real numbers** 1 \u2264 *n* \u2264 6.\r\n\r\nB. The domain is the set of all **real numbers** 1 \u2264 *n* \u2264 5.\r\n\r\nC. The domain is the set of all **integers** 1 \u2264 *n* \u2264 6.\r\n\r\nD. The domain is the set of all **integers** 1 \u2264 *n* \u2264 5.\r\n\r\n**Rubric:** (1 point) The student correctly selects the statement describing the domain or range of the function (e.g., D).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:35:18+00:00"},{"identifier":"60754d9e-05fe-11e8-b818-bd83817b7a03","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60754d9e-05fe-11e8-b818-bd83817b7a03","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:20+00:00"},{"identifier":"60756b4e-05fe-11e8-b7e2-137f867b6fa0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60756b4e-05fe-11e8-b7e2-137f867b6fa0","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:35:42+00:00"},{"identifier":"60758868-05fe-11e8-ac47-dfb2daadd076","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60758868-05fe-11e8-ac47-dfb2daadd076","fullStatement":"The student is presented with a contextual situation, and asked to identify the domain of the function modeled by the given situation.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:34:14+00:00"},{"identifier":"6075ec0e-05fe-11e8-b5e3-4f544482d843","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6075ec0e-05fe-11e8-b5e3-4f544482d843","fullStatement":"**Prompt Features:** The student is prompted to select the correct statement describing the domain or range of a function modeling a contextual situation.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:35:59+00:00"},{"identifier":"6075a6f4-05fe-11e8-a350-1967e8e8a700","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6075a6f4-05fe-11e8-a350-1967e8e8a700","fullStatement":"Task Model 3c","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"notes":"**Version 3 Update:**\r\nRetired the first example stem for TM3c. Added new TM3d.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:37:27+00:00"},{"identifier":"60760aae-05fe-11e8-8c1a-b7098d6e176a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60760aae-05fe-11e8-8c1a-b7098d6e176a","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:23+00:00"},{"identifier":"60763c40-05fe-11e8-a350-212f17a929a6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60763c40-05fe-11e8-a350-212f17a929a6","fullStatement":"**Example Stem:** Sue hits a ball from a height of 4 feet. The height of the ball above the ground is a function of the horizontal distance the ball travels until it comes to rest on the ground. Consider this complete graph of the function.\r\n\r\n\r\n\r\nSelect **all** values that are in the domain of the function as shown in the graph.\r\n\r\nA. \u25005 feet\r\n\r\nB. 0 feet\r\n\r\nC. 60 feet\r\n\r\nD. 220 feet\r\n\r\n**Rubric:** (1 point) The student correctly selects the values that are within the domain (e.g., B, C).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:28:40+00:00"},{"identifier":"6076782c-05fe-11e8-98a0-c93fc021507c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6076782c-05fe-11e8-98a0-c93fc021507c","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:23+00:00"},{"identifier":"60769596-05fe-11e8-ab85-9d8a7dfb386a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60769596-05fe-11e8-ab85-9d8a7dfb386a","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:37:21+00:00"},{"identifier":"6076b33c-05fe-11e8-b682-bb0999387ef2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6076b33c-05fe-11e8-b682-bb0999387ef2","fullStatement":"The student is presented with a description and graph of contextual situation, and asked to identify all values that are in the domain of the function modeled by the given situation.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:36:11+00:00"},{"identifier":"6077153e-05fe-11e8-82de-a1e082a5abfe","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6077153e-05fe-11e8-82de-a1e082a5abfe","fullStatement":"**Prompt Features:** The student is prompted to select an appropriate domain of a function modeling a contextual situation.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:37:45+00:00"},{"identifier":"6076d15a-05fe-11e8-9c5b-85b20bb75ae7","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6076d15a-05fe-11e8-9c5b-85b20bb75ae7","fullStatement":"Task Model 3d","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"notes":"**Version 3 Update:**\r\nRetired the first example stem for TM3c. Added new TM3d.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:38:45+00:00"},{"identifier":"607733c0-05fe-11e8-9110-d12e0ef5912e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/607733c0-05fe-11e8-9110-d12e0ef5912e","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:27+00:00"},{"identifier":"60775e22-05fe-11e8-91f4-a97d3a9e1865","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60775e22-05fe-11e8-91f4-a97d3a9e1865","fullStatement":"**Example Stem:** Consider the function *f*(*x*) = 10*x* + 25. Identify an appropriate domain for the function if it is used to model each of the following contexts.\r\n\r\n| | **An interval of real numbers** | **A subset of the integers** |\r\n|---------------------------------------------------------------------------------------------------------------------------------------------------|---------------------------------|------------------------------|\r\n| The total value *f*(*x*) in cents of a handful of *x* dimes and 1 quarter. | | |\r\n| The amount of water *f*(*x*) in a tank that starts with 25 gallons of water and is being filled by a hose at 10 gallons per hour after *x* hours. | | |\r\n| The total money raised *f*(*x*) if *x* people donate \\$10 each and one person donates \\$25. | | |\r\n\r\n**Rubric:** (1 point) The student correctly identifies the appropriate kind of domain (integers, reals, integers).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:38:18+00:00"},{"identifier":"60777ccc-05fe-11e8-8a4d-7bc4c3aef892","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60777ccc-05fe-11e8-8a4d-7bc4c3aef892","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:27+00:00"},{"identifier":"60779a9a-05fe-11e8-9c6f-f3e9c93bbfe8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60779a9a-05fe-11e8-9c6f-f3e9c93bbfe8","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:38:36+00:00"},{"identifier":"6077b872-05fe-11e8-974b-6d1f22ed2407","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6077b872-05fe-11e8-974b-6d1f22ed2407","fullStatement":"The student is presented with an equation and several descriptions of contextual situations, and asked to identify appropriate values of the domain of the function modeled by the given situations.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:37:56+00:00"},{"identifier":"60781b32-05fe-11e8-b120-d7cbf0172d8f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60781b32-05fe-11e8-b120-d7cbf0172d8f","fullStatement":"**Prompt Features:** The student is prompted to calculate the average rate of change of a given function over the specified interval, in terms of a context.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Item difficulty can be adjusted via these example methods, but is not limited to these methods:\r\n\r\n - The function is presented as a table.\r\n\r\n - The function is presented symbolically as a linear equation.\r\n\r\n - The function is presented symbolically as a quadratic or exponential equation.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-17T22:49:01+00:00"},{"identifier":"6077d690-05fe-11e8-8b79-e7c8b1f7cb19","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6077d690-05fe-11e8-8b79-e7c8b1f7cb19","fullStatement":"Task Model 4a","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"notes":"**Version 3 Update:**\r\nRetired TM4b","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-31T09:48:13+00:00"},{"identifier":"607839c8-05fe-11e8-b33a-271601f84a91","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/607839c8-05fe-11e8-b33a-271601f84a91","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:31+00:00"},{"identifier":"60786380-05fe-11e8-bbf7-0f5a116fbdaf","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60786380-05fe-11e8-bbf7-0f5a116fbdaf","fullStatement":"**Example Stem:** Craig records the number of minutes, *m*, it takes him to mow *n* lawns in a table.\r\n\r\n| *n* | 1 | 2 | 3 | 4 | 5 | 6 |\r\n|----------|----|----|----|-----|-----|-----|\r\n| **m(n)** | 33 | 64 | 89 | 109 | 124 | 139 |\r\n\r\nSelect the average amount of time per lawn it takes Craig to mow the **first 4 lawns**. Round to the nearest minute per lawn.\r\n\r\nA. 25 minutes per lawn\r\n\r\nB. 27 minutes per lawn\r\n\r\nC. 33 minutes per lawn\r\n\r\nD. 74 minutes per lawn\r\n\r\n**Rubric:** (1 point) The student identifies the correct value for the average rate of change (e.g., B).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:39:45+00:00"},{"identifier":"607882ca-05fe-11e8-8905-7f3c66b2f24b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/607882ca-05fe-11e8-8905-7f3c66b2f24b","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:31+00:00"},{"identifier":"6078a098-05fe-11e8-bd2a-5f69abde05ab","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6078a098-05fe-11e8-bd2a-5f69abde05ab","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","notes":"**Version 3 Update:**\r\nRetired TM4b.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:40:04+00:00"},{"identifier":"6078bdb2-05fe-11e8-a5e9-0bcbfe138f54","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6078bdb2-05fe-11e8-a5e9-0bcbfe138f54","fullStatement":"The student is presented with a function in symbolic form, representing a context familiar to 15- to 17-year-olds.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:39:22+00:00"},{"identifier":"6079214e-05fe-11e8-83fa-ed278fa6bca0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6079214e-05fe-11e8-83fa-ed278fa6bca0","fullStatement":"**Prompt Features:** The student is prompted to calculate the average rate of change of a given function over the specified interval, in terms of a context.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Item difficulty can be adjusted via these example methods, but is not limited to these methods:\r\n\r\n - The function is presented as a table.\r\n\r\n - The function is presented symbolically as a linear equation.\r\n\r\n - The function is presented symbolically as a quadratic or exponential equation.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-17T22:49:22+00:00"},{"identifier":"6078dc7a-05fe-11e8-a481-83a0c6070800","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6078dc7a-05fe-11e8-a481-83a0c6070800","fullStatement":"Task Model 4c","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"notes":"**Version 3 Update:**\r\nRetired TM4b.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:41:52+00:00"},{"identifier":"60793f58-05fe-11e8-a8e4-ff6438d171dc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/60793f58-05fe-11e8-a8e4-ff6438d171dc","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:35+00:00"},{"identifier":"6079694c-05fe-11e8-bc94-1b6e51f366b6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6079694c-05fe-11e8-bc94-1b6e51f366b6","fullStatement":"**Example Stem:** During the first years of growth the height of a tree can be modeled with the function\r\n\r\n$h = - t^{2} + 12t + 10$, \r\n\r\nwhere *t* is the time in years since being planted and *h* is the height in nches.\r\n\r\nEnter the average rate of change, in inches per year, from year 1 to year 5.\r\n\r\n**Rubric:**\r\n\r\n(1 point) The student enters the correct answer for the average rate of change given the units (e.g., 6).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:41:24+00:00"},{"identifier":"607987d8-05fe-11e8-beb4-11d25d04a80c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/607987d8-05fe-11e8-beb4-11d25d04a80c","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:47:35+00:00"},{"identifier":"6079a588-05fe-11e8-81df-bd3b635598a0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6079a588-05fe-11e8-81df-bd3b635598a0","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:41:38+00:00"},{"identifier":"6079c324-05fe-11e8-8522-1bb3aef63672","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/6079c324-05fe-11e8-8522-1bb3aef63672","fullStatement":"The student is presented with a nonlinear function in symbolic form.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T21:40:39+00:00"},{"identifier":"dc5f23e8-0604-11e8-92ef-7723cb210c74","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/dc5f23e8-0604-11e8-92ef-7723cb210c74","fullStatement":"**Example Stem 2:** A ball is on the ground. Jon kicks the ball into the air at *s* = 0. Assume that the height of the ball can be modeled as a quadratic function with respect to time. It reaches a maximum height of 64 feet and lands on the ground 4 seconds later.\r\n\r\n\r\n\r\nUse the Add Point tool to plot the points on the grid that represent\r\n\r\n- when John kicks the ball,\r\n\r\n- the ball at its highest point, and\r\n\r\n- when the ball lands on the ground.\r\n\r\n**Interaction:** The student uses the Add Point tool to place points on the grid.\r\n\r\n**Rubric:**\r\n\r\n(1 point) The student plots the points correctly (e.g., see below).\r\n\r\n","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 2","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:27:36+00:00"},{"identifier":"fde9520e-0604-11e8-9f73-0f304975f92c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fde9520e-0604-11e8-9f73-0f304975f92c","fullStatement":"**Example Stem 3:** A company is building a playground and needs to buy sand. The cost of sand is a function of the amount of sand purchased.\r\n\r\n- The first 5 cubic feet cost \\$1.50 per cubic foot.\r\n\r\n- An amount greater than 5 cubic feet and less than or equal to 10 cubic feet costs \\$1.25 per cubic foot.\r\n\r\n- An amount over 10 cubic feet costs \\$1.00 per cubic foot.\r\n\r\nUse the Add Point and Connect Line tools to create a graph to show the total cost of the sand (in dollars) as a function of the amount of sand purchased (in cubic feet).\r\n\r\n\r\n\r\n**Interaction:** The student uses the Add Point tool and Connect Line tool to graph the linear segments of a piecewise function on the grid.\r\n\r\n**Rubric:**\r\n(1 point) The student creates the graph correctly (e.g. see below).\r\n\r\n","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 3","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:27:52+00:00"},{"identifier":"96b0c0e6-0603-11e8-b8a1-ebeca0f161d2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/96b0c0e6-0603-11e8-b8a1-ebeca0f161d2","fullStatement":"**M.GHS.C1F.TL**","CFItemType":"Target","CFItemTypeURI":{"title":"Target","identifier":"ca81997c-078d-56bc-ad4b-7c111f218115","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/ca81997c-078d-56bc-ad4b-7c111f218115"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2019-04-29T18:31:29+00:00"}],"CFAssociations":[{"identifier":"5e0f2386-05fe-11e8-a65d-2d1f51ec9809","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFAssociations/5e0f2386-05fe-11e8-a65d-2d1f51ec9809","lastChangeDateTime":"2018-01-30T21:21:51+00:00","sequenceNumber":2,"originNodeURI":{"title":"Clarifications","identifier":"5e0e36f6-05fe-11e8-803a-4309edc69437","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/5e0e36f6-05fe-11e8-803a-4309edc69437"},"associationType":"isChildOf","destinationNodeURI":{"title":"HS 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