{"CFDocument":{"identifier":"f5ffd3f4-0516-11e8-9803-9dc7b0fa60d6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFDocuments/f5ffd3f4-0516-11e8-9803-9dc7b0fa60d6","creator":"Smarter Balanced_Math Claim 1 Item Specifications","title":"HS Mathematics Item Specification C1 TC","lastChangeDateTime":"2022-09-23T23:27:02+00:00","officialSourceURL":"https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1C_NQ_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_1C_NQ_Spec_V3_phase3"},"CFItems":[{"identifier":"0fb12f5a-0517-11e8-bf4c-2bbb9c73e35f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0fb12f5a-0517-11e8-bf4c-2bbb9c73e35f","fullStatement":"Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.","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":"2018-01-29T17:13:18+00:00"},{"identifier":"1106f1b4-0517-11e8-b62b-8f1844388fce","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1106f1b4-0517-11e8-b62b-8f1844388fce","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":"2018-01-29T17:13:18+00:00"},{"identifier":"1107659a-0517-11e8-bf77-7b0f616b3a19","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1107659a-0517-11e8-bf77-7b0f616b3a19","fullStatement":"Students should be able to choose the units in a formula, correctly scale a graph with unit increments, and identify a quantity from a graph with a scale in unit increments of a specified measurement.","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":"2018-01-29T17:13:36+00:00"},{"identifier":"11072b52-0517-11e8-a2ff-33ba189c5795","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/11072b52-0517-11e8-a2ff-33ba189c5795","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":"2018-01-29T17:08:46+00:00"},{"identifier":"1107811a-0517-11e8-b888-d37bbd173067","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1107811a-0517-11e8-b888-d37bbd173067","fullStatement":"Students should be able to reason quantitatively to choose and interpret the units in a formula given in a familiar context, including making measurement conversions between simple units and identifying a quantity from a graph with the scale in increments of various sizes. They should be able to use units to guide the solution of a familiar multi-step problem with scaffolding.","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":"2018-01-29T17:13:49+00:00"},{"identifier":"11079a4c-0517-11e8-83bb-717e60c9dcc2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/11079a4c-0517-11e8-83bb-717e60c9dcc2","fullStatement":"Students should be able to reason quantitatively to choose and interpret the units in a formula given in an unfamiliar context, including making measurement conversions between compound units, and to define appropriate quantities or measurements in familiar contexts with some scaffolding to construct a model. They should be able to identify appropriate levels of measurement precision in context and to choose and interpret the scale and origin of a graph or data display. They should be able to use units to guide the solution of an unfamiliar multi-step problem without scaffolding.","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":"2018-01-29T17:14:03+00:00"},{"identifier":"1107b3c4-0517-11e8-8748-0799e240ed55","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1107b3c4-0517-11e8-8748-0799e240ed55","fullStatement":"Students should be able to define appropriate quantities or measurements in unfamiliar contexts with little to no scaffolding to construct a model.","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":"2018-01-29T17:14:17+00:00"},{"identifier":"1108069e-0517-11e8-8c8d-2549195068df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1108069e-0517-11e8-8c8d-2549195068df","fullStatement":"The student chooses units consistently in formulas.","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":"2018-01-29T17:14:30+00:00"},{"identifier":"1107cdfa-0517-11e8-9bda-bb9bef3e0689","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1107cdfa-0517-11e8-9bda-bb9bef3e0689","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":"2018-01-29T17:08:46+00:00"},{"identifier":"11082e76-0517-11e8-9c25-ad5cff38ed5c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/11082e76-0517-11e8-9c25-ad5cff38ed5c","fullStatement":"The student chooses the scales for graphs and data displays.","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":"2018-01-29T17:14:41+00:00"},{"identifier":"1108627e-0517-11e8-883a-4f8d5cc97f2f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1108627e-0517-11e8-883a-4f8d5cc97f2f","fullStatement":"The student chooses appropriate quantities for answering a question in a real-world context.","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":"2018-01-29T17:14:51+00:00"},{"identifier":"1109008a-0517-11e8-98ae-757709ae4666","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1109008a-0517-11e8-98ae-757709ae4666","fullStatement":"square units, cubic units, unit conversion, axis scale","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":"2018-01-29T17:15:18+00:00"},{"identifier":"1108b774-0517-11e8-90fe-995c741356ec","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1108b774-0517-11e8-90fe-995c741356ec","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":"2018-01-29T17:08:46+00:00"},{"identifier":"11091c00-0517-11e8-b471-5307285633ff","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/11091c00-0517-11e8-b471-5307285633ff","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":"2018-01-29T17:15:24+00:00"},{"identifier":"1109367c-0517-11e8-b426-8170d30cbd0f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1109367c-0517-11e8-b426-8170d30cbd0f","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":"Target-Specific Attributes","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-29T17:15:36+00:00"},{"identifier":"11094fb8-0517-11e8-b0d6-0dd85866e0db","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/11094fb8-0517-11e8-b0d6-0dd85866e0db","fullStatement":"unit conversions, unit rates, reading and interpreting axes graphs","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":"2018-01-29T17:15:46+00:00"},{"identifier":"1109698a-0517-11e8-aa54-4d89e1e4296e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1109698a-0517-11e8-aa54-4d89e1e4296e","fullStatement":"Tasks for this target will require students to choose and interpret units in formulas and the scale in a graph.\r\n\r\nIn Claims 2-4, this reasoning will be extended to include defining appropriate quantities when modeling and choosing appropriate levels of accuracy for units in the context of a real-world or mathematical problem (e.g., explaining the effects of rounding \u03c0 to the nearest whole number in an area calculation).\r\n\r\nInterpreting scales and origins will be assessed in Claims 2 and 4.","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":"2018-01-29T17:16:00+00:00"},{"identifier":"11098370-0517-11e8-add9-e36fd47f42cd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/11098370-0517-11e8-add9-e36fd47f42cd","fullStatement":"unit conversions, blank coordinate planes, graphs in the coordinate plane, bar graphs, histograms, table of values","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":"2018-01-29T17:15:06+00:00"},{"identifier":"11099c66-0517-11e8-9cd2-45a8095abf9d","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/11099c66-0517-11e8-9cd2-45a8095abf9d","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":"2018-02-21T17:12:47+00:00"},{"identifier":"129422a4-0517-11e8-a867-5177a3c11493","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/129422a4-0517-11e8-a867-5177a3c11493","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":"2018-01-29T17:13:18+00:00"},{"identifier":"1294b3e0-0517-11e8-87be-17532c8f0d46","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1294b3e0-0517-11e8-87be-17532c8f0d46","fullStatement":"**Prompt Features:** The student is prompted to choose the units of measurement that are appropriate for quantities represented in formulas.\r\n\r\n**Stimulus Guidelines:** Item difficulty can be adjusted via these example methods, but is not limited to these methods:\r\n\r\n-   One-step problems, such as finding units for *V* in $V = \\ \\frac{d}{t}$, given units for *d* and *t*\r\n\r\n-   Two- or three-step problems, such as finding units for *E* in $E = mc^{2}$, given units for *m* and *c*\r\n\r\n-   Three- or more step problems, where not all units are given for all variables\r\n\r\n-   Problems where units are calculated for a variable in one equation in order to find units for a variable in another given equation in context where units may not be familiar","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":"2018-01-29T17:18:04+00:00"},{"identifier":"129473bc-0517-11e8-bdc9-7137b3f70735","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/129473bc-0517-11e8-bdc9-7137b3f70735","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"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-29T17:09:25+00:00"},{"identifier":"1294ce7a-0517-11e8-92d9-215e6044a471","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1294ce7a-0517-11e8-92d9-215e6044a471","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":"2018-01-29T17:10:11+00:00"},{"identifier":"1295075a-0517-11e8-9357-51b9536095a4","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1295075a-0517-11e8-9357-51b9536095a4","fullStatement":"**Example Stem:** Given the formula, $K = \\frac{1}{2}mv^{2}$ where\r\n\r\n-   *K* represents kinetic energy,\r\n\r\n-   *m* represents mass and has units of kilograms (*kg*), and\r\n\r\n-   *v* represents velocity and has units of meters per second (*m/s*).\r\n\r\nSelect an appropriate measurement unit for kinetic energy.\r\n\r\nA. $\\frac{\\text{kg\\ }m^{2}}{s}$\r\n\r\nB. $\\frac{\\text{kg}^{2}\\ m^{2}}{s^{2}}$\r\n\r\nC. $\\frac{\\text{kg\\ m\\ }}{s^{2}}$\r\n\r\nD. $\\frac{\\text{kg\\ }m^{2}\\ }{s^{2}}$\r\n\r\n**Rubric:** (1 point) Student selects the correct response (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":"2018-03-27T14:43:36+00:00"},{"identifier":"12956ee8-0517-11e8-a453-430686a542e2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/12956ee8-0517-11e8-a453-430686a542e2","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":"2018-01-29T17:10:11+00:00"},{"identifier":"12958888-0517-11e8-aa90-e105c391d032","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/12958888-0517-11e8-aa90-e105c391d032","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":"2018-01-29T17:19:50+00:00"},{"identifier":"1295a192-0517-11e8-a553-0524bf96f343","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1295a192-0517-11e8-a553-0524bf96f343","fullStatement":"The student is presented with a formula that uses measurements given in different units.","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":"2018-01-29T17:18:21+00:00"},{"identifier":"1295fa48-0517-11e8-818f-d1d844d716b5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1295fa48-0517-11e8-818f-d1d844d716b5","fullStatement":"**Prompt Features:** The student is prompted to choose the units of measurement that are appropriate for quantities represented in formulas.\r\n\r\n**Stimulus Guidelines:** Item difficulty can be adjusted via these example methods, but are not limited to these methods:\r\n\r\n-   Two-step problems\r\n\r\n-   Three- or more step problems","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":"2018-01-29T17:21:07+00:00"},{"identifier":"1295ba88-0517-11e8-bdb4-81aa549b10d1","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1295ba88-0517-11e8-bdb4-81aa549b10d1","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":"2018-01-29T17:09:32+00:00"},{"identifier":"129615b4-0517-11e8-849c-55e8cc983a82","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/129615b4-0517-11e8-849c-55e8cc983a82","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":"2018-01-29T17:10:17+00:00"},{"identifier":"12963bb6-0517-11e8-ab32-532fcf9a491e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/12963bb6-0517-11e8-ab32-532fcf9a491e","fullStatement":"**Example Stem:** The density of water at a certain temperature is $62.4\\ \\frac{\\text{lb}}{\\text{ft}^{3}}$.\r\n\r\nDrag a rate or quantity from the box to each blank to calculate the density of water in units of kilograms per cubic meter,$\\ \\frac{\\text{kg}}{m^{3}}$.\r\n\r\n![interaction](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1C_NQ_Spec_V3_phase3_files/image021.png)\r\n\r\n**Interaction:** The student drags and drops the correct rate or quantity from the box in order to calculate the density of water in $\\frac{\\text{kg}}{m^{3}}$.\r\n\r\n**Rubric:** (1 point) The student chooses the following correct three rates or quantities (order does not matter): $\\frac{62.4\\ lb}{1\\ \\text{ft}^{3}}$, ${(\\frac{3.28\\ ft}{1\\ m})}^{3}$, $\\frac{1\\ kg}{2.205\\ lb}$\r\n\r\nOne such ordering would be: $\\frac{62.4\\ lb}{1\\ \\text{ft}^{3}}\\bullet\\ {(\\frac{3.28\\ ft}{1\\ m})}^{3}\\bullet\\ \\frac{1\\ kg}{2.205\\ lb}$.","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":"2018-02-09T14:53:12+00:00"},{"identifier":"129656f0-0517-11e8-abe1-99525a4d1b84","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/129656f0-0517-11e8-abe1-99525a4d1b84","fullStatement":"Drag and Drop 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":"2018-01-29T17:22:52+00:00"},{"identifier":"12967234-0517-11e8-a5d9-258c823b0229","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/12967234-0517-11e8-a5d9-258c823b0229","fullStatement":"The student is presented with a context in which a number needs to be expressed in a different unit.","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":"2018-01-29T17:21:16+00:00"},{"identifier":"12968c42-0517-11e8-adfe-9995cf886ebd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/12968c42-0517-11e8-adfe-9995cf886ebd","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":"2018-01-29T17:22:59+00:00"},{"identifier":"1296e5a2-0517-11e8-bea5-3fdaf2700142","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1296e5a2-0517-11e8-bea5-3fdaf2700142","fullStatement":"**Prompt Features:** The student is prompted to choose the graphing window for a graph.\r\n\r\n**Stimulus Guidelines:** Item difficulty can be adjusted via these example methods, but are not limited to these methods:\r\n\r\n-   Using different types of functions (e.g., linear, quadratic, etc.)\r\n\r\n-   Asking students to identify windows where certain key features would be visible","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":"2018-01-29T17:29:36+00:00"},{"identifier":"1296a61e-0517-11e8-92c2-31fa49b8f531","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1296a61e-0517-11e8-92c2-31fa49b8f531","fullStatement":"Task Model 2a","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 TM2b.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-29T17:31:24+00:00"},{"identifier":"1297010e-0517-11e8-afbf-1d30dd04ef36","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1297010e-0517-11e8-afbf-1d30dd04ef36","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":"2018-01-29T17:10:24+00:00"},{"identifier":"129726d4-0517-11e8-bcbc-357bf5169c85","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/129726d4-0517-11e8-bcbc-357bf5169c85","fullStatement":"**Example Stem:** A company makes 3,000 liters of juice per day. Let *y* represent the total amount of juice, in liters, made in *x* days.\r\n\r\nAn equation representing this situation is entered into a graphing calculator. Determine whether a graph created with each calculator display window defined in the table will show all points representing the total amount of juice made in 0 to 7 days.\r\n\r\nSelect Yes or No for each display window.\r\n\r\n| **The calculator display window shows:**                     | **Yes** | **No** |\r\n|--------------------------------------------------------------|---------|--------|\r\n| $- 100 \\leq x \\leq 3,100$ and $- 1 \\leq y \\leq 8$        |         |        |\r\n| $- 1 \\leq x \\leq 8$ and $- 100 \\leq y \\leq 3,100$        |         |        |\r\n| $- 1 \\leq x \\leq 8$ and $- 100 \\leq y \\leq 21,100$       |         |        |\r\n| $- 100 \\leq x \\leq 21,100$ and $- 100 \\leq y \\leq 3,100$ |         |        |\r\n\r\n**Rubric:** (1 point) The student selects the correct response for each display window (e.g., NNYN).","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":"2018-01-29T17:51:13+00:00"},{"identifier":"129741fa-0517-11e8-af56-a5ef023baba3","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/129741fa-0517-11e8-af56-a5ef023baba3","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":"2018-01-29T17:10:24+00:00"},{"identifier":"12975c9e-0517-11e8-847c-7b015e1eadbb","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/12975c9e-0517-11e8-847c-7b015e1eadbb","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":"2018-01-29T17:31:06+00:00"},{"identifier":"1297768e-0517-11e8-841a-5759957217cc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1297768e-0517-11e8-841a-5759957217cc","fullStatement":"The student is presented with a contextual situation where the equation for the function may or may not be given.","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":"2018-01-29T17:29:49+00:00"},{"identifier":"1297ced6-0517-11e8-a9ba-5f2fc7ab9d63","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1297ced6-0517-11e8-a9ba-5f2fc7ab9d63","fullStatement":"**Prompt Features:** The student will select appropriate scale for one of the coordinate axes in a context.\r\n\r\n**Stimulus Guidelines:** The student is presented with a contextual situation.\r\n\r\n-   Item difficulty can be adjusted via these example methods, but are not limited to these methods:\r\n\r\n    -   graph is linear\r\n\r\n    -   graph is non-linear","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":"2018-01-29T17:32:44+00:00"},{"identifier":"1297902e-0517-11e8-b4e7-fd871893bed8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1297902e-0517-11e8-b4e7-fd871893bed8","fullStatement":"Task Model 2c","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 TM2b and added new TM2c.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-29T17:33:59+00:00"},{"identifier":"1297ea42-0517-11e8-be7a-f5e2e451d014","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1297ea42-0517-11e8-be7a-f5e2e451d014","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":"2018-01-29T17:10:29+00:00"},{"identifier":"12980fb8-0517-11e8-beb2-254c5790e035","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/12980fb8-0517-11e8-beb2-254c5790e035","fullStatement":"**Example Stem:** The speed of sound at sea level is approximately 340 meters per second. The graph shows the distance, *d*, a sound wave created by a loud noise at sea level has traveled after *t* seconds.\r\n\r\n![Claim 1C.png](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1C_NQ_Spec_V3_phase3_files/image045.png)\r\n\r\nEach of the following sets of numbers represents meters. Assuming the graph is correct, which set of numbers is most appropriate to label the seven tick marks along the vertical axis (distance)?\r\n\r\nA.\u00a0\u00a0  1, 2, 3, 4, 5, 6, 7\r\n\r\nB.\u00a0\u00a0  50, 100, 150, 200, 250, 300, 350\r\n\r\nC.\u00a0\u00a0  100, 200, 300, 400, 500, 600, 700\r\n\r\nD.\u00a0\u00a0  340, 680, 1020, 1360, 1700, 2040, 2380\r\n\r\n\r\n**Rubric:** (1 point) The student selects the correct list of numbers (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":"2018-02-09T14:53:40+00:00"},{"identifier":"12982aac-0517-11e8-8fc5-e967a8f16dd5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/12982aac-0517-11e8-8fc5-e967a8f16dd5","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":"2018-01-29T17:10:29+00:00"},{"identifier":"1298446a-0517-11e8-8dad-e92e3f4748d3","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1298446a-0517-11e8-8dad-e92e3f4748d3","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":"2018-01-29T17:33:43+00:00"},{"identifier":"12985e14-0517-11e8-a143-479eb6da4784","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/12985e14-0517-11e8-a143-479eb6da4784","fullStatement":"The student is presented with a contextual situation and a graph of the 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":"2018-01-29T17:32:58+00:00"},{"identifier":"1298b5da-0517-11e8-9200-5f1abc9e2d56","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1298b5da-0517-11e8-9200-5f1abc9e2d56","fullStatement":"**Prompt Features:** The student will choose appropriate quantities for answering a question in a real-world context.\r\n\r\n**Stimulus Guidelines:** The student is presented with 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":"2018-01-29T17:43:45+00:00"},{"identifier":"129877a0-0517-11e8-bbf3-cdc4f66c9cff","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/129877a0-0517-11e8-bbf3-cdc4f66c9cff","fullStatement":"Task Model 3","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\nAdded new \u201cEvidence Required\u201d statement 3 and TM3.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-29T17:52:12+00:00"},{"identifier":"1298d10a-0517-11e8-9c15-db70fa89a292","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1298d10a-0517-11e8-9c15-db70fa89a292","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":"2018-01-29T17:10:32+00:00"},{"identifier":"1298f680-0517-11e8-b00d-0bcbb4c7d89c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1298f680-0517-11e8-b00d-0bcbb4c7d89c","fullStatement":"**Example Stem:** A farmer is comparing costs for different fertilizers to use on her 45-acre field. Different brands of fertilizer come in different sizes that cover different areas of land.\r\n\r\nChoose two or more quantities that, when **multiplied** together, would give a quantity that could be used as a single measure to decide which fertilizer would be least expensive for her to use on her field.\r\n\r\nA.  The cost per bag of fertilizer in dollars\r\n\r\nB.  The cost per cubic foot of fertilizer in dollars\r\n\r\nC.  The volume of each bag of fertilizer in cubic feet\r\n\r\nD.  The number of bags needed to fertilize one acre\r\n\r\nE.  The number of acres a bag of fertilizer can cover\r\n\r\n**Rubric:** (1 point) The student selects the correct combination of options (e.g., A and D or B, C, and 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":"2018-01-29T17:44:34+00:00"},{"identifier":"1299117e-0517-11e8-98a1-6f8b73bad8f1","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1299117e-0517-11e8-98a1-6f8b73bad8f1","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 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