{"CFDocument":{"identifier":"eabfc546-faf1-11e7-9083-b5e4550cbfce","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFDocuments/eabfc546-faf1-11e7-9083-b5e4550cbfce","creator":"Smarter Balanced_Math Claim 1 Item Specifications","title":"Grade 7 Mathematics Item Specification C1 TA","lastChangeDateTime":"2022-09-23T22:45:02+00:00","officialSourceURL":"https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr7_specs/G7_1A_RP_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":"G7_1A_RP_Spec_V3_phase3"},"CFItems":[{"identifier":"0b83b468-faf2-11e7-a4b4-6fecd7645fd0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0b83b468-faf2-11e7-a4b4-6fecd7645fd0","fullStatement":"Tasks for this target will require students to identify and represent proportional relationships in various formats (tables, graphs, equations, diagrams, verbal descriptions) and interpret specific values in context. (See 7.G Target E for possible context.) Other tasks will require students to compute unit rates including those associated with ratios of fractions.","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":["07"],"lastChangeDateTime":"2018-01-16T19:27:02+00:00"},{"identifier":"0d0d727e-faf2-11e7-b817-5f51871b0bda","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0d727e-faf2-11e7-b817-5f51871b0bda","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":["07"],"lastChangeDateTime":"2018-01-16T19:27:25+00:00"},{"identifier":"0d0e037e-faf2-11e7-b2f0-bf7b5ac931b1","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0e037e-faf2-11e7-b2f0-bf7b5ac931b1","fullStatement":"Students should be able to identify proportional relationships presented in graphical, tabular, or verbal formats in familiar 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 1","educationLevel":["07"],"lastChangeDateTime":"2018-01-16T19:27:49+00:00"},{"identifier":"0d0dbcca-faf2-11e7-8822-895c05ecdc3a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0dbcca-faf2-11e7-8822-895c05ecdc3a","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":["07"],"lastChangeDateTime":"2018-01-16T19:27:32+00:00"},{"identifier":"0d0e2746-faf2-11e7-9308-ff1153899c3b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0e2746-faf2-11e7-9308-ff1153899c3b","fullStatement":"Students should be able to find whole number proportionality constants in relationships presented in graphical, tabular, or verbal formats in familiar contexts. They should also be able to identify proportional relationships presented in equation formats and find unit rates involving whole numbers.","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":["07"],"lastChangeDateTime":"2018-01-16T19:28:01+00:00"},{"identifier":"0d0e4906-faf2-11e7-a97b-5953189771c0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0e4906-faf2-11e7-a97b-5953189771c0","fullStatement":"Students should be able to identify, represent, and analyze proportional relationships in various formats; find unit rates associated with ratios of fractions; and use unit rates to solve one-step problems involving rational numbers. They should be able to analyze a graph of a proportional relationship in order to explain what the points (*x*, *y*) and (1, *r*) represent, where *r* is the unit rate, and use this information to solve problems.","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":["07"],"lastChangeDateTime":"2018-03-27T11:36:50+00:00"},{"identifier":"0d0e6b5c-faf2-11e7-a15e-633ff1d3683e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0e6b5c-faf2-11e7-a15e-633ff1d3683e","fullStatement":"Students should be able to solve real-world problems involving proportional relationships and measurement conversions in various formats (e.g., verbally, tabular, graphically) in a contextual scenario that involves identifying relationships between elements presented in various formats.","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":["07"],"lastChangeDateTime":"2018-01-16T19:28:24+00:00"},{"identifier":"0d0efe50-faf2-11e7-99a7-8d5684f43d0c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0efe50-faf2-11e7-99a7-8d5684f43d0c","fullStatement":"The student computes unit rates and finds the constant of proportionality of proportional relationships in various forms.","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":["07"],"lastChangeDateTime":"2018-01-16T19:28:55+00:00"},{"identifier":"0d0e8e16-faf2-11e7-a279-2bcc7060210d","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0e8e16-faf2-11e7-a279-2bcc7060210d","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":["07"],"lastChangeDateTime":"2018-01-16T19:28:46+00:00"},{"identifier":"0d0f32e4-faf2-11e7-8a29-89f9bd4c8d0b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0f32e4-faf2-11e7-8a29-89f9bd4c8d0b","fullStatement":"The student determines whether two quantities, shown in various forms, are in a proportional relationship.","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":["07"],"lastChangeDateTime":"2018-01-16T19:29:08+00:00"},{"identifier":"0d0f644e-faf2-11e7-a80d-b1783528fbfc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0f644e-faf2-11e7-a80d-b1783528fbfc","fullStatement":"The student represents proportional relationships between quantities using equations.","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":["07"],"lastChangeDateTime":"2018-01-16T19:29:21+00:00"},{"identifier":"0d0f9c0c-faf2-11e7-8470-89afba6d11a8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0f9c0c-faf2-11e7-8470-89afba6d11a8","fullStatement":"The student interprets specific values from a proportional relationship in the context of a problem situation.","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":["07"],"lastChangeDateTime":"2018-01-16T19:29:34+00:00"},{"identifier":"0d0fcc2c-faf2-11e7-b908-39726ea3d538","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d0fcc2c-faf2-11e7-b908-39726ea3d538","fullStatement":"The student computes with percentages in 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 5","educationLevel":["07"],"lastChangeDateTime":"2018-01-16T19:29:47+00:00"},{"identifier":"0d114c8c-faf2-11e7-b952-b9c8a81ac784","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d114c8c-faf2-11e7-b952-b9c8a81ac784","fullStatement":"proportional relationship, ratio, unit rate, constant of proportionality, origin, percent increase, percent decrease, percent error","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":["07"],"lastChangeDateTime":"2018-01-16T19:31:23+00:00"},{"identifier":"0d10f5c0-faf2-11e7-8dd0-419740a10d9c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d10f5c0-faf2-11e7-8dd0-419740a10d9c","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":["07"],"lastChangeDateTime":"2018-01-16T19:29:54+00:00"},{"identifier":"0d1170fe-faf2-11e7-bfa7-5b0ef8b4f9ba","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d1170fe-faf2-11e7-bfa7-5b0ef8b4f9ba","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":["07"],"lastChangeDateTime":"2018-01-16T19:31:36+00:00"},{"identifier":"0d11d238-faf2-11e7-a836-75fd63e4fb83","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d11d238-faf2-11e7-a836-75fd63e4fb83","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":["07"],"lastChangeDateTime":"2018-01-16T19:31:50+00:00"},{"identifier":"0d11f542-faf2-11e7-9f57-effeb84b99b5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d11f542-faf2-11e7-9f57-effeb84b99b5","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-Targeted Constructs","educationLevel":["07"],"lastChangeDateTime":"2018-01-16T19:32:02+00:00"},{"identifier":"0d12184c-faf2-11e7-94c0-a7e26b8c91d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d12184c-faf2-11e7-94c0-a7e26b8c91d0","fullStatement":"The graphical representations of real-world situations are assessed in Claims 2 and 3.","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":["07"],"lastChangeDateTime":"2018-01-16T19:32:11+00:00"},{"identifier":"0d123ba6-faf2-11e7-8813-098409931d9c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d123ba6-faf2-11e7-8813-098409931d9c","fullStatement":"two-way tables, graphs of both nonlinear and linear equations, equations in two variables, diagrams","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":["07"],"lastChangeDateTime":"2018-01-16T19:30:44+00:00"},{"identifier":"0d125e7e-faf2-11e7-a905-a9e6233b55f2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0d125e7e-faf2-11e7-a905-a9e6233b55f2","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":["07"],"lastChangeDateTime":"2018-02-21T16:53:24+00:00"},{"identifier":"0e7fdb24-faf2-11e7-8f6e-9df06ea1ec62","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e7fdb24-faf2-11e7-8f6e-9df06ea1ec62","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":["07"],"lastChangeDateTime":"2018-01-16T19:32:21+00:00"},{"identifier":"0e807da4-faf2-11e7-8f68-8dadc51db5fd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e807da4-faf2-11e7-8f68-8dadc51db5fd","fullStatement":"**Prompt Features:** The student is prompted to give the constant of proportionality between two quantities in a proportional relationship.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Ratios in the proportional relationship should be ratios of fractions.\r\n\r\n- Context should be familiar to students 12 to 14 years old.\r\n\r\n- Item difficulty can be adjusted via these example methods:\r\n\r\n - Fractions can be expressed as mixed numbers or not.\r\n\r\n - Constants of proportionality can be whole numbers or fractions.","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":["07"],"lastChangeDateTime":"2018-01-16T19:36:06+00:00"},{"identifier":"0e804118-faf2-11e7-a797-ef0a51ec68d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e804118-faf2-11e7-a797-ef0a51ec68d0","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":["07"],"lastChangeDateTime":"2018-01-16T19:44:55+00:00"},{"identifier":"0e8098ac-faf2-11e7-aab9-cf56ab804ae6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e8098ac-faf2-11e7-aab9-cf56ab804ae6","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":["07"],"lastChangeDateTime":"2018-01-16T19:36:27+00:00"},{"identifier":"0e80c55c-faf2-11e7-954f-d7f6d5a99bb0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e80c55c-faf2-11e7-954f-d7f6d5a99bb0","fullStatement":"**Example Stem:** David uses $\\frac{1}{4}$ cup of apple juice for every $\\frac{1}{2}\\text{\\ \\ }$cup of carrot juice to make a fruit drink.\r\n\r\nEnter the number of cups of apple juice David uses for 1 cup of carrot juice.\r\n\r\n**Rubric:** (1 point) The student enters the correct number (e.g.,$\\ \\frac{1}{2}$).","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":["07"],"lastChangeDateTime":"2018-01-16T19:37:05+00:00"},{"identifier":"0e80fb8a-faf2-11e7-b941-bba3e9d59a02","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e80fb8a-faf2-11e7-b941-bba3e9d59a02","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":["07"],"lastChangeDateTime":"2018-01-16T19:37:30+00:00"},{"identifier":"0e8115ca-faf2-11e7-a70d-3f0523809328","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e8115ca-faf2-11e7-a70d-3f0523809328","fullStatement":"The student is presented with a verbal description of a real-world situation involving a proportional relationship.","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":["07"],"lastChangeDateTime":"2018-01-16T19:36:21+00:00"},{"identifier":"0e816a34-faf2-11e7-b51b-fd8510b69cb0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e816a34-faf2-11e7-b51b-fd8510b69cb0","fullStatement":"**Prompt Features:** The student is prompted to give the constant of proportionality between two quantities in a proportional relationship.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Ratios in the proportional relationship should be ratios of fractions.\r\n\r\n- Context should be familiar to students 12 to 14 years old.\r\n\r\n- Item difficulty can be adjusted via these example methods:\r\n\r\n - Fractions can be expressed as mixed numbers or not.\r\n\r\n - Constants of proportionality can be whole numbers or fractions.","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":["07"],"lastChangeDateTime":"2018-01-16T19:41:04+00:00"},{"identifier":"0e812fa6-faf2-11e7-b18b-0b6cc6c1508c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e812fa6-faf2-11e7-b18b-0b6cc6c1508c","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":["07"],"lastChangeDateTime":"2018-01-16T19:40:46+00:00"},{"identifier":"0e8184ba-faf2-11e7-b21d-d33f5fa1f673","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e8184ba-faf2-11e7-b21d-d33f5fa1f673","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":["07"],"lastChangeDateTime":"2018-01-16T19:41:27+00:00"},{"identifier":"0e81a9e0-faf2-11e7-a760-0f7461d6c27a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e81a9e0-faf2-11e7-a760-0f7461d6c27a","fullStatement":"**Example Stem 1:** This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe.\r\n\r\n| **Cups of Sugar** | **Cups of Flour** |\r\n|:-------------------:|:-------------------:|\r\n| 2 | 5 |\r\n| 6 | 15 |\r\n| 8 | 20 |\r\n\r\nEnter the number of cups of sugar used for 1 cup of flour.\r\n\r\n**Rubric:** (1 point) Student enters the correct number (e.g., $\\frac{2}{5}$).","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":["07"],"lastChangeDateTime":"2018-01-19T18:43:42+00:00"},{"identifier":"0e81c650-faf2-11e7-a049-b3b5ec03012d","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e81c650-faf2-11e7-a049-b3b5ec03012d","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":["07"],"lastChangeDateTime":"2018-01-16T19:44:43+00:00"},{"identifier":"0e81e04a-faf2-11e7-85fa-1583eec72913","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e81e04a-faf2-11e7-85fa-1583eec72913","fullStatement":"The student is presented with a table or diagram of a proportional relationship in a context.","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":["07"],"lastChangeDateTime":"2018-01-16T19:41:21+00:00"},{"identifier":"0e8232a2-faf2-11e7-ae32-a33f6e63a912","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e8232a2-faf2-11e7-ae32-a33f6e63a912","fullStatement":"**Prompt Features:** The student is prompted to give the constant of proportionality for a proportional relationship between two quantities.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Context should be familiar to students 12 to 14 years old.\r\n\r\n - Item difficulty can be adjusted via these example methods:\r\n\r\n- The equation should come in the following forms:\r\n\r\n *y* = *rx*, where r is the constant of proportionality and [coefficient1][variable1] = [coefficient2][variable2].\r\n\r\n- The constant of proportionality can be a whole number, positive fraction, or mixed number.\r\n\r\n- Coefficients include whole numbers, fractions, and exclude the number one.","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":["07"],"lastChangeDateTime":"2018-01-16T19:47:01+00:00"},{"identifier":"0e81fa4e-faf2-11e7-84b3-196a353b172a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e81fa4e-faf2-11e7-84b3-196a353b172a","fullStatement":"Task Model 1d","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 TM1c and revised TM1d example stems.","educationLevel":["07"],"lastChangeDateTime":"2018-01-16T19:49:35+00:00"},{"identifier":"0e824e72-faf2-11e7-a414-1550e49cdded","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e824e72-faf2-11e7-a414-1550e49cdded","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":["07"],"lastChangeDateTime":"2018-01-16T19:47:21+00:00"},{"identifier":"0e827c3a-faf2-11e7-90fc-4df73692d939","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e827c3a-faf2-11e7-90fc-4df73692d939","fullStatement":"**Example Stem 1:** A drink recipe calls for papaya juice and carrot juice.\u00a0This equation represents the proportional relationship between the number of quarts of papaya juice (*p*) and carrot juice (*c*) in the recipe.\r\n\r\n2*p* = 8*c*\r\n\r\nEnter the number of quarts of papaya juice used for 1 quart of carrot juice.\r\n\r\n**Rubric:** (1 point) The student enters the correct number (e.g., 4).","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":["07"],"lastChangeDateTime":"2018-01-16T19:48:41+00:00"},{"identifier":"0e82972e-faf2-11e7-9873-5130f6ea939e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e82972e-faf2-11e7-9873-5130f6ea939e","fullStatement":"**Example Stem 2:** A drink recipe calls for papaya juice and carrot juice. This equation represents the proportional relationship between the number of quarts of papaya juice (*p*) and carrot juice (*c*) in the recipe.\r\n\r\n($1\\frac{1}{3}$)*p* = ($3\\frac{1}{3}$)*c*\r\n\r\nEnter the number of quarts of papaya juice used for 1 quart of carrot juice.\r\n\r\n**Rubric:** (1 point) The student enters the correct number (e.g., $\\ \\frac{5\\ }{2}$).","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":["07"],"lastChangeDateTime":"2018-01-16T19:49:00+00:00"},{"identifier":"0e82b222-faf2-11e7-bec9-83a99070a353","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e82b222-faf2-11e7-bec9-83a99070a353","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":["07"],"lastChangeDateTime":"2018-01-16T19:49:18+00:00"},{"identifier":"0e82cc1c-faf2-11e7-b2fb-39ed31e8fc37","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e82cc1c-faf2-11e7-b2fb-39ed31e8fc37","fullStatement":"The student is presented with an equation of a proportional relationship.","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":["07"],"lastChangeDateTime":"2018-01-16T19:47:13+00:00"},{"identifier":"0e831dc0-faf2-11e7-a195-89e33644c770","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e831dc0-faf2-11e7-a195-89e33644c770","fullStatement":"**Prompt Features:** The student is prompted to identify tables of values that represent proportional relationships.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Tables should be labeled and have four to five ordered pairs. All tables within an item should follow the same format.\r\n\r\n- Where possible, tables should contain values arising out of contextual relationships.\r\n\r\n- Item difficulty can be adjusted via these example methods:\r\n\r\n - Table values are whole numbers or fractions.\r\n\r\n - Fractions may be mixed numbers.\r\n\r\n - For graphs, distractors should include graphs with the equation in the form of *y* = *x*2 and the equation in the form of *y*\u00a0=\u00a0*mx*\u00a0+\u00a0*b* (where *b* \u2260 0).","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":["07"],"lastChangeDateTime":"2018-01-16T19:51:53+00:00"},{"identifier":"0e82e5b2-faf2-11e7-961f-d9e903cbc69b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e82e5b2-faf2-11e7-961f-d9e903cbc69b","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"},"educationLevel":["07"],"lastChangeDateTime":"2018-01-16T19:50:49+00:00"},{"identifier":"0e833878-faf2-11e7-a097-31cf54f1e62e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e833878-faf2-11e7-a097-31cf54f1e62e","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":["07"],"lastChangeDateTime":"2018-01-16T19:52:13+00:00"},{"identifier":"0e835fce-faf2-11e7-b727-a30826d05abd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e835fce-faf2-11e7-b727-a30826d05abd","fullStatement":"**Example Stem 1:** Select **all** tables that represent a proportional relationship between *x* and *y*.\r\n\r\nA.\r\n\r\n| ***x*** | 0 | 1 | 2 | 3 |\r\n|-------------|---|---|---|---|\r\n| ***y*** | **0**| **2** |**4** | **6** |\r\n
\r\n\r\nB.\r\n\r\n| ***x*** | 0 | 2 | 4 | 6 |\r\n|-------------|---|---|----|----|\r\n| ***y*** | **0** | **4** | **16** | **36** |\r\n
\r\n\r\nC.\r\n\r\n| ***x*** | 0 | 3 | 6 | 9 |\r\n|-------------|---|----|----|----|\r\n| ***y*** | **0** | **15** | **30** | **45** |\r\n
\r\n\r\nD.\r\n\r\n| ***x*** | 0 | 4 | 6 | 8 |\r\n|-------------|---|----|----|----|\r\n| ***y*** | **0** | **16** | **36**| **64** |\r\n
\r\n\r\n**Answer Choices:** Answer choices should be tables showing a relationship between two quantities. There should be one to two tables showing proportional relationships. Distractors should be tables that do not show a proportional relationship, which may include a relationship following an equation in the form of *y* = *mx* + *b* (where *b* \u2260 0) or *y* = *x*2.\r\n\r\n**Rubric:** (1 point) Student selects all the correct tables. (e.g., A and 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":["07"],"lastChangeDateTime":"2018-03-27T11:39:58+00:00"},{"identifier":"0e837b30-faf2-11e7-a601-29887de14fb0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e837b30-faf2-11e7-a601-29887de14fb0","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":["07"],"lastChangeDateTime":"2018-01-16T19:58:18+00:00"},{"identifier":"0e839534-faf2-11e7-ae90-f1c70124e575","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e839534-faf2-11e7-ae90-f1c70124e575","fullStatement":"The student is presented with one table per answer choice. Where possible, include a contextual reason for the tables of relationships.","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":["07"],"lastChangeDateTime":"2018-01-16T19:52:06+00:00"},{"identifier":"0e83e7c8-faf2-11e7-9318-4958979bae52","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e83e7c8-faf2-11e7-9318-4958979bae52","fullStatement":"**Prompt Features:** The student is prompted to identify which graphs represent proportional relationships.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Context should be familiar to students 12 to 14 years old.\r\n\r\n- Item difficulty can be adjusted via these example methods:\r\n\r\n - Unit rate is a whole number or fraction.\r\n\r\n - Distractors should include graphs with the equation in the form of *y* = *x*2 and the equation in the form of *y*\u00a0=\u00a0*mx*\u00a0+\u00a0*b* (where *b* \u2260 0).","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":["07"],"lastChangeDateTime":"2018-01-16T20:06:40+00:00"},{"identifier":"0e83afd8-faf2-11e7-b8d1-376c2dc86e3d","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e83afd8-faf2-11e7-b8d1-376c2dc86e3d","fullStatement":"Task Model 2b","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":["07"],"lastChangeDateTime":"2018-01-16T20:06:14+00:00"},{"identifier":"0e840316-faf2-11e7-9b9d-1f69c0726c59","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e840316-faf2-11e7-9b9d-1f69c0726c59","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":["07"],"lastChangeDateTime":"2018-01-16T20:06:58+00:00"},{"identifier":"0e8428e6-faf2-11e7-adab-d5df4612ea51","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e8428e6-faf2-11e7-adab-d5df4612ea51","fullStatement":"**Example Stem:** Select **all** the graphs that represent a proportional relationship between *x* and *y*.\r\n\r\nA) \r\n\r\n\r\nB)\r\n\r\nC)\r\n\r\n\r\nD)\r\n\r\n\r\n**Answer Choices:** Distractors should be graphs that do not show a proportional relationship, which may show a nonlinear relationship or a relationship following an equation in the form of \r\n*y = mx + b* (where b \u2260 0) or *y* = *x*$^{2}$.\r\n\r\n**Rubric:** (1 point) Student selects all the correct graphs (e.g., B and 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":["07"],"lastChangeDateTime":"2018-02-03T14:21:50+00:00"},{"identifier":"0e844416-faf2-11e7-ab13-bd099c365fbc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e844416-faf2-11e7-ab13-bd099c365fbc","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":["07"],"lastChangeDateTime":"2018-01-16T20:29:27+00:00"},{"identifier":"0e845da2-faf2-11e7-9310-17a24ca526bd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e845da2-faf2-11e7-9310-17a24ca526bd","fullStatement":"The student is presented with one table or one graph per answer choice.","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":["07"],"lastChangeDateTime":"2018-01-16T20:06:52+00:00"},{"identifier":"0e84affa-faf2-11e7-926f-1d1d72ca6cdd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e84affa-faf2-11e7-926f-1d1d72ca6cdd","fullStatement":"**Prompt Features:** The student is prompted to give an equation that represents the proportional relationship between two given quantities.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Context should be familiar to students 12 to 14 years old.\r\n\r\n- Graph is linear and begins at (0, 0) or a set of plotted points which includes (0, 0).\r\n\r\n- Tables should be labeled, represent the relationship between two variables, and have 3-5 ordered pairs.\r\n\r\n- For graphs, axes are labeled and include whole numbers and/or fractions.\r\n\r\n- The constant of proportionality is a whole number or fraction.\r\n\r\n- Item difficulty can be adjusted via these example methods:\r\n\r\n - Scaling of the graph may be fractional or in units other than multiples of 2 or 10.\r\n\r\n - Table values are whole numbers or fractions.\r\n\r\n - Fractions are not mixed numbers.","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":["07"],"lastChangeDateTime":"2018-01-16T20:11:25+00:00"},{"identifier":"0e847814-faf2-11e7-9fa8-c521ce14a1f3","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e847814-faf2-11e7-9fa8-c521ce14a1f3","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"},"educationLevel":["07"],"lastChangeDateTime":"2018-01-16T20:10:36+00:00"},{"identifier":"0e84cb48-faf2-11e7-ab0a-a1224b58b97f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e84cb48-faf2-11e7-ab0a-a1224b58b97f","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":["07"],"lastChangeDateTime":"2018-01-16T20:11:49+00:00"},{"identifier":"0e84f258-faf2-11e7-982b-59c7fa8a66aa","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e84f258-faf2-11e7-982b-59c7fa8a66aa","fullStatement":"**Example Stem 1:** This graph shows the relationship between the number of hours (*h*) a business operates and the total cost of electricity (*c*).\r\n\r\n\r\n\r\nFind the constant of proportionality (*r*) for this relationship. Using the value for *k*, enter an equation in the form of *c*\u00a0=\u00a0*rh* that represents the relationship between the number of hours (*h*) and the total cost (*c*).\r\n\r\n**Rubric:** (1 point) Student enters the correct equation (e.g., *c* = 10*h*).","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":["07"],"lastChangeDateTime":"2018-01-28T21:08:31+00:00"},{"identifier":"0e850e3c-faf2-11e7-afb4-514662e6b858","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e850e3c-faf2-11e7-afb4-514662e6b858","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":["07"],"lastChangeDateTime":"2018-01-16T20:26:44+00:00"},{"identifier":"0e85278c-faf2-11e7-85ea-e36ca77cdbd2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e85278c-faf2-11e7-85ea-e36ca77cdbd2","fullStatement":"The student is presented with two quantities in a contextual proportional relationship given in a graph or table.","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":["07"],"lastChangeDateTime":"2018-01-16T20:11:42+00:00"},{"identifier":"0e857912-faf2-11e7-8496-c10be1b806fe","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e857912-faf2-11e7-8496-c10be1b806fe","fullStatement":"**Prompt Features:** The student is prompted to select specific values from a proportional relationship in the context of a problem situation.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Context should be familiar to students 12 to 14 years old.\r\n\r\n- Graph is linear and begins at (0, 0) or a set of plotted points which includes (0, 0).\r\n\r\n- Graph axes are labeled and include whole numbers and/or fractions.\r\n\r\n- The constant of proportionality is a whole number or fraction.\r\n\r\n- Item difficulty can be adjusted via these example methods:\r\n\r\n - One answer choice which assesses the interpretation of a single point on the graph that is not the unit rate is easier than an answer choice that compares the interpretation of two different points.","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":["07"],"lastChangeDateTime":"2018-01-16T20:18:11+00:00"},{"identifier":"0e85421c-faf2-11e7-b17a-019467197685","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e85421c-faf2-11e7-b17a-019467197685","fullStatement":"Task Model 4","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":["07"],"lastChangeDateTime":"2018-01-16T20:17:31+00:00"},{"identifier":"0e85947e-faf2-11e7-bdc2-8df9920d7022","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e85947e-faf2-11e7-bdc2-8df9920d7022","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":["07"],"lastChangeDateTime":"2018-01-16T20:18:31+00:00"},{"identifier":"0e85b9cc-faf2-11e7-b11e-3ba634e7dbe5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e85b9cc-faf2-11e7-b11e-3ba634e7dbe5","fullStatement":"**Example Stem:** This graph shows the relationship between the number of hours (*h*) a business operates and the total cost (*c*) of electricity.\r\n\r\n\r\n
\r\n\r\nSelect True or False for each statement about the graph.\r\n\r\n| **Statement** | **True** | **False** |\r\n|-------------------------------------------------------------------------------------------|----------|-----------|\r\n| Point A represents the total cost of electricity when operating the business for 6 hours. | | |\r\n| The total cost of electricity is \\$8 when operating the business for 80 hours. | | |\r\n| The total cost of electricity is \\$10 when operating the business for 1 hour. | | |\r\n
\r\n\r\n**Rubric:** (1 point) Student determines each statement as being either true or false (e.g., T, F, T). Each statement is a sentence describing one of the points in the context. False statements should be statements that use the wrong values or switch the values when interpreting the graph. More difficult statements are about points beyond the visible portion of the graph.","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":["07"],"lastChangeDateTime":"2018-01-28T21:09:28+00:00"},{"identifier":"0e85d4f2-faf2-11e7-ade8-774c01227388","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e85d4f2-faf2-11e7-ade8-774c01227388","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":["07"],"lastChangeDateTime":"2018-01-16T20:19:50+00:00"},{"identifier":"0e85ee4c-faf2-11e7-9100-e927a18cf935","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e85ee4c-faf2-11e7-9100-e927a18cf935","fullStatement":"The student is presented with a graph of a proportional relationship where specific values may be emphasized.","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":["07"],"lastChangeDateTime":"2018-01-16T20:18:25+00:00"},{"identifier":"0e8640b8-faf2-11e7-86e8-6dc641fc5637","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e8640b8-faf2-11e7-86e8-6dc641fc5637","fullStatement":"**Prompt Features:** The student is prompted to compute with percentages in a real-world context that requires multiple steps to solve.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n- Context of problems should be familiar to students 12 to 14 years old.\r\n\r\n- For items asking for a percentage, the percent symbol (%) should not be required for full credit.\r\n\r\n- For items asking for a dollar amount, the dollar sign (\\$) should not be required for full credit.\r\n\r\n- Item difficulty can be adjusted via these example methods:\r\n\r\n - 1-3 step(s) problem.\r\n\r\n - Multiplying by a percent which should include benchmark percentages, i.e., 25%, 50%, etc.\r\n\r\n - Divide two numbers or by a percent which should include benchmark percents, 25%, 50%, etc.","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":["07"],"lastChangeDateTime":"2018-02-03T14:22:28+00:00"},{"identifier":"0e8608f0-faf2-11e7-a5d0-6f7f1e97c9d8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e8608f0-faf2-11e7-a5d0-6f7f1e97c9d8","fullStatement":"Task Model 5","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":["07"],"lastChangeDateTime":"2018-01-16T20:20:59+00:00"},{"identifier":"0e865c4c-faf2-11e7-8b04-135644a4ba6e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e865c4c-faf2-11e7-8b04-135644a4ba6e","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":["07"],"lastChangeDateTime":"2018-01-16T20:22:08+00:00"},{"identifier":"0e86821c-faf2-11e7-8bb4-17cc8b96607d","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e86821c-faf2-11e7-8bb4-17cc8b96607d","fullStatement":"**Example Stem 1:** Dave buys a baseball for \\$15 plus an 8% tax. Mel buys a football for \\$20 plus an 8% tax. Enter the difference in the amount Dave and Mel paid, including tax. Round your answer to the nearest cent.\r\n\r\n**Rubric:** (1 point) Student gives the correct difference in the amount between David and Mel (e.g., 5.40).","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":["07"],"lastChangeDateTime":"2018-01-16T20:22:52+00:00"},{"identifier":"0e869e00-faf2-11e7-8447-c921b3abf9f4","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e869e00-faf2-11e7-8447-c921b3abf9f4","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":["07"],"lastChangeDateTime":"2018-01-16T20:24:16+00:00"},{"identifier":"0e86b764-faf2-11e7-b736-b79796e0fa61","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e86b764-faf2-11e7-b736-b79796e0fa61","fullStatement":"The student is presented with a real-world context involving adding or subtracting a percent to the whole (simple interest, tax, commission, markup, markdowns, tips, coupons, and discounts).","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":["07"],"lastChangeDateTime":"2018-01-16T20:22:01+00:00"},{"identifier":"72b1783e-faf5-11e7-8f0e-9541c148eef1","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/72b1783e-faf5-11e7-8f0e-9541c148eef1","fullStatement":"**Example Stem 2:** This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe.\r\n\r\n| **Cups of Sugar** | **Cups of Flour** |\r\n|:-------------------:|:-------------------:|\r\n| 2$\\frac{1}{2}$ | 7$\\frac{1}{2}$ |\r\n| 3$\\frac{3}{4}$ | 11$\\frac{1}{4}$ |\r\n\r\nEnter the number of cups of sugar used for 1 cup of flour.\r\n\r\n**Rubric:** (1 point) Student enters the correct number (e.g., $\\frac{1}{3}$).","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":["07"],"lastChangeDateTime":"2018-01-19T18:45:30+00:00"},{"identifier":"89d6b522-faf7-11e7-8c28-55289368a6db","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/89d6b522-faf7-11e7-8c28-55289368a6db","fullStatement":"**Example Stem 2**: Select **all** tables that represent a proportional relationship between x and y.\r\n\r\nA.\r\n\r\n| ***x*** | 0 | 1 | 2 | 3 |\r\n|:-------------:|:---:|:---:|:---:|:---:|\r\n| ***y*** | **0** | **2** | **4** | **6** |\r\n
\r\n\r\nB.\r\n\r\n| ***x*** | 0 | 2 | 4 | 6 |\r\n|:-------------:|:---:|:---:|:---:|:---:|\r\n| ***y*** | **0** | **4** | **16** | **36** |\r\n
\r\n\r\nC.\r\n\r\n| ***x*** | 0 | $\\frac{1}{9}$ | $\\frac{1}{4}$ | $\\frac{1}{2}$ |\r\n|:-------------:|:---:|:-----:|:---:|:---:|\r\n| ***y*** | **0** | **$\\frac{1}{81}$** | **$\\frac{1}{16}$** | **$\\frac{1}{4}$** |\r\n
\r\n\r\nD.\r\n\r\n| ***x*** | 0 | $\\frac{1}{3}$ | $\\frac{2}{3}$ | $\\frac{3}{3}$ |\r\n|:-------------:|:---:|:---:|:---:|:---:|\r\n| ***y*** | **0** | **$\\frac{1}{9}$** | **$\\frac{2}{9}$** | **$\\frac{3}{9}$** |\r\n
\r\n\r\n\r\n**Answer Choices:** Answer choices should be tables showing a relationship between two quantities. There should be one to two tables showing proportional relationships. Distractors should be tables that do not show a proportional relationship, which may include a relationship following an equation in the form of *y* = *mx* + *b* (where *b* \u2260 0) or *y* = *x*2.\r\n\r\n**Rubric:** (1 point) Student selects all the correct tables. (e.g., A 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 2","educationLevel":["07"],"lastChangeDateTime":"2018-03-27T11:40:44+00:00"},{"identifier":"e8273b36-faf9-11e7-8c31-5f7fcbb49312","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/e8273b36-faf9-11e7-8c31-5f7fcbb49312","fullStatement":"**Example Stem 2:** This graph shows a proportional relationship between *x* and *y*.\r\n\r\n\r\n\r\nFind the constant of proportionality (*k*). Using the value for *k*, enter an equation in the form of *y* = *kx*.\r\n\r\n**Rubric:** (1 point) Student enters the correct equation (e.g., *y* = 2*x*).","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":["07"],"lastChangeDateTime":"2018-01-28T21:08:43+00:00"},{"identifier":"f74f7880-faf9-11e7-af52-73d75ceaa0f0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/f74f7880-faf9-11e7-af52-73d75ceaa0f0","fullStatement":"**Example Stem 3:** This table shows a proportional relationship between *x* and *y*.\r\n\r\n| *x* | *y* |\r\n|-----|-----|\r\n| 4 | 48 |\r\n| 5 | 60 |\r\n| 8 | 96 |\r\n\r\nFind the constant of proportionality (*k*). Using the value for *k*, enter an equation in the form of *y* = *kx*.\r\n\r\n**Rubric:** (1 point) Student enters the correct equation (e.g., *y* = 12*x*).","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":["07"],"lastChangeDateTime":"2018-01-16T20:15:35+00:00"},{"identifier":"1efe6228-fafb-11e7-9f05-dbe28f1cf8ef","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/1efe6228-fafb-11e7-9f05-dbe28f1cf8ef","fullStatement":"**Example Stem 2:** A bicycle is originally priced at \\$80. The store owner gives a discount and the bicycle is now priced at \\$60. Enter the percentage discount for the cost of the bicycle.\r\n\r\n**Rubric:** (1 point) Student gives the correct percentage discount (e.g., 25).","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":["07"],"lastChangeDateTime":"2018-01-16T20:23:32+00:00"},{"identifier":"2cec40a8-fafb-11e7-9519-11caa075d703","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/2cec40a8-fafb-11e7-9519-11caa075d703","fullStatement":"**Example Stem 3:** Dave has a 32 ounce energy drink. He drinks 10 ounces. Enter the percentage of ounces Dave has left of his energy drink. Round your answer to the nearest hundredth.\r\n\r\n**Rubric:** (1 point) Student gives the correct percentage (e.g., 68.75).","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":["07"],"lastChangeDateTime":"2018-01-16T20:24:06+00:00"},{"identifier":"b93fb162-046e-11e8-b0cf-e91d6c332430","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/b93fb162-046e-11e8-b0cf-e91d6c332430","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 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