{"CFDocument":{"identifier":"f10b607a-0070-11e8-9199-cdf3cc2782f2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFDocuments/f10b607a-0070-11e8-9199-cdf3cc2782f2","creator":"Smarter Balanced_Math Claim 1 Item Specifications","title":"Grade 8 Mathematics Item Specification C1 TF","lastChangeDateTime":"2022-09-23T23:14:02+00:00","officialSourceURL":"https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr8_specs/G8_1F_F_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":"G8_1F_F_Spec_V3_phase3"},"CFItems":[{"identifier":"f9219af4-0070-11e8-9a9c-2dace5b8f7ce","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/f9219af4-0070-11e8-9a9c-2dace5b8f7ce","fullStatement":"Tasks for this target will ask students to construct a function to model a linear relationship between two quantities and determine the rate of change or initial value of a linear function from given information. \r\n\r\nOther tasks will ask students to identify parts of a graph that fit a particular qualitative description (e.g., increasing or decreasing) or sketch a graph based on a qualitative description.","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":["08"],"lastChangeDateTime":"2018-02-04T19:11:11+00:00"},{"identifier":"fafbf9aa-0070-11e8-a4f3-cfc2dfc7a988","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafbf9aa-0070-11e8-a4f3-cfc2dfc7a988","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":["08"],"lastChangeDateTime":"2018-02-04T19:11:11+00:00"},{"identifier":"fafc8802-0070-11e8-b693-dfc2174e95a5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafc8802-0070-11e8-b693-dfc2174e95a5","fullStatement":"Function, slope, *y*\u2013intercept, linear, nonlinear, rate of change, increasing, decreasing, constant, interval, relation","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":["08"],"lastChangeDateTime":"2018-03-27T12:10:39+00:00"},{"identifier":"fafc3a82-0070-11e8-8e61-3d4da26d8451","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafc3a82-0070-11e8-8e61-3d4da26d8451","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":["08"],"lastChangeDateTime":"2018-01-23T19:10:11+00:00"},{"identifier":"fafca2ec-0070-11e8-9648-05a124cb694a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafca2ec-0070-11e8-9648-05a124cb694a","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":["08"],"lastChangeDateTime":"2018-01-23T19:18:19+00:00"},{"identifier":"fafcbc50-0070-11e8-8a21-610a4b546e7a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafcbc50-0070-11e8-8a21-610a4b546e7a","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":["08"],"lastChangeDateTime":"2018-01-23T19:18:38+00:00"},{"identifier":"fafcd5d2-0070-11e8-810d-95fcb27bb02a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafcd5d2-0070-11e8-810d-95fcb27bb02a","fullStatement":"None","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Non-Target Constructs","educationLevel":["08"],"lastChangeDateTime":"2018-01-23T19:10:17+00:00"},{"identifier":"fafcef04-0070-11e8-8223-b3dc75d8d3bb","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafcef04-0070-11e8-8223-b3dc75d8d3bb","fullStatement":"Function notation is not required in Grade 8. Items and tasks developed for the Grade 8 Function domain should not use formal function notation [i.e., f(*x*)]. [1]\r\n\r\n[1] Items that use function notation may appear on the tests of high performing students as the adaptive algorithm allows for higher grade-level items to be selected.","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":["08"],"lastChangeDateTime":"2018-03-27T12:10:54+00:00"},{"identifier":"fafd09d0-0070-11e8-87a9-470b4738c50a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafd09d0-0070-11e8-87a9-470b4738c50a","fullStatement":"Graphs, equations, tables, written descriptions","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":["08"],"lastChangeDateTime":"2018-01-23T19:17:34+00:00"},{"identifier":"fafd2348-0070-11e8-902b-5fc1dda4243a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafd2348-0070-11e8-902b-5fc1dda4243a","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":["08"],"lastChangeDateTime":"2018-02-21T17:06:53+00:00"},{"identifier":"fafd7708-0070-11e8-89fc-312facc1e19f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafd7708-0070-11e8-89fc-312facc1e19f","fullStatement":"Students should be able to identify a function that models a linear relationship between two quantities.","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":["08"],"lastChangeDateTime":"2018-01-23T19:15:15+00:00"},{"identifier":"fafd3c70-0070-11e8-b6ba-8f4c299e02d5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafd3c70-0070-11e8-b6ba-8f4c299e02d5","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":["08"],"lastChangeDateTime":"2018-01-23T19:10:11+00:00"},{"identifier":"fafd9170-0070-11e8-9305-e39c2a8525c0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafd9170-0070-11e8-9305-e39c2a8525c0","fullStatement":"Students should be able to construct a graph or table to represent a linear relationship between two quantities, and should be able to find the rate of change in a linear relationship represented by a graph or table. They should be able to analyze and describe a graph of a linear function.","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"abbreviatedStatement":"Level 2","educationLevel":["08"],"lastChangeDateTime":"2018-01-23T19:15:27+00:00"},{"identifier":"fafdab7e-0070-11e8-b2ae-0dddd509e4c8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafdab7e-0070-11e8-b2ae-0dddd509e4c8","fullStatement":"Students should be able to construct a function to represent a linear relationship between two quantities and a graph to represent verbally-described qualitative features, and determine the rate of change and initial value of a function from a graph, a verbal description of a relationship, or from two sets of *x, y* values given as coordinate pairs or displayed in a table. They should be able to analyze a graph of a linear or nonlinear function to qualitatively describe it.","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":["08"],"lastChangeDateTime":"2018-01-23T19:15:55+00:00"},{"identifier":"fafdc4e2-0070-11e8-80b5-4daf3d6ad785","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafdc4e2-0070-11e8-80b5-4daf3d6ad785","fullStatement":"Students should be able to interpret the rate of change and initial value of a linear function in terms of the situation it models and in terms of its graph or a table of values.","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":["08"],"lastChangeDateTime":"2018-01-23T19:16:06+00:00"},{"identifier":"fafe1f5a-0070-11e8-9798-d579f05f6694","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafe1f5a-0070-11e8-9798-d579f05f6694","fullStatement":"The student constructs a function to model a linear relationship between two quantities.","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 1","educationLevel":["08"],"lastChangeDateTime":"2018-01-23T19:16:21+00:00"},{"identifier":"fafdde5a-0070-11e8-94b0-7308b27c92f8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafdde5a-0070-11e8-94b0-7308b27c92f8","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":["08"],"lastChangeDateTime":"2018-01-23T19:10:11+00:00"},{"identifier":"fafe47be-0070-11e8-8434-271a20b11329","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafe47be-0070-11e8-8434-271a20b11329","fullStatement":"The student determines the rate of change and initial value of a function, either from a description of a relationship or from two (*x*, *y*) values, including reading the rate of change and/or the value of the function from a table or a graph.","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 2","educationLevel":["08"],"lastChangeDateTime":"2018-01-23T19:16:43+00:00"},{"identifier":"fafe7022-0070-11e8-a7b3-e501a6bd0f4b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafe7022-0070-11e8-a7b3-e501a6bd0f4b","fullStatement":"The student interprets the rate of change and the initial value of a linear function in terms of the situation it models, its graph, or a table of values.","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":["08"],"lastChangeDateTime":"2018-02-05T19:53:01+00:00"},{"identifier":"fafea600-0070-11e8-8ee1-9fb781751e0b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafea600-0070-11e8-8ee1-9fb781751e0b","fullStatement":"The student qualitatively describes the functional relationship between two quantities by analyzing a graph (e.g., whether the function is increasing or decreasing, or whether the graph is linear or nonlinear).","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":["08"],"lastChangeDateTime":"2018-01-23T19:17:10+00:00"},{"identifier":"fafed508-0070-11e8-9cc6-fd3cddf2eedc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fafed508-0070-11e8-9cc6-fd3cddf2eedc","fullStatement":"The student draws a graph that exhibits the qualitative features of a function that has been described in writing.","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":["08"],"lastChangeDateTime":"2018-01-23T19:17:23+00:00"},{"identifier":"fc78efc2-0070-11e8-8324-dd6501de13cf","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc78efc2-0070-11e8-8324-dd6501de13cf","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":["08"],"lastChangeDateTime":"2018-02-04T19:11:11+00:00"},{"identifier":"fc799594-0070-11e8-b11e-1f194f8f57a9","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc799594-0070-11e8-b11e-1f194f8f57a9","fullStatement":"**Prompt Features:** The student is prompted to construct a linear function given a linear relationship between two quantities.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n-   Tables should be labeled.\r\n\r\n-   Graph scale should contain only integers.\r\n\r\n-   Context should be familiar to students 13 to 15 years old.\r\n\r\n-   Item difficulty can be adjusted via these example methods:\r\n\r\n    -   Slopes can be positive or negative.\r\n\r\n    -   Axes scales can be varied, including having different scales on each axis.\r\n\r\n    -   Table values can be integers, fractions, or decimals.\r\n\r\n    -   Graphs can include intercepts clearly plotted or any other points that are clearly marked.\r\n\r\n    -   Proportional relationship with positive rate of change given.\r\n\r\n    -   Linear relationship with positive or negative rate of change given.\r\n\r\n    -   Linear relationship where student must find the rate of change.","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":["08"],"lastChangeDateTime":"2018-01-23T19:20:45+00:00"},{"identifier":"fc794fc6-0070-11e8-bd49-87628d7962ab","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc794fc6-0070-11e8-bd49-87628d7962ab","fullStatement":"Task Model 1","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":["08"],"lastChangeDateTime":"2018-01-23T19:09:50+00:00"},{"identifier":"fc79b312-0070-11e8-ae99-999e708b2570","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc79b312-0070-11e8-ae99-999e708b2570","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:40+00:00"},{"identifier":"fc79dc5c-0070-11e8-b805-89faec563e6b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc79dc5c-0070-11e8-b805-89faec563e6b","fullStatement":"**Example Stem 1:** This table of values represents a linear function.\r\n\r\n| *x* | *y*  |\r\n|-----|------|\r\n| 2   | \u20136   |\r\n| 3   | \u20136.5 |\r\n| 8   | \u20139   |\r\n\r\nEnter an equation in the form *y =* m*x +b* that represents the function.\r\n\r\n**Rubric:** (1 point) Student enters the correct equation (e.g., *y = - 0.5x  - 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":["08"],"lastChangeDateTime":"2018-01-23T19:23:19+00:00"},{"identifier":"fc79fb60-0070-11e8-889f-459fe03fb076","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc79fb60-0070-11e8-889f-459fe03fb076","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:40+00:00"},{"identifier":"fc7a188e-0070-11e8-9bfb-5dd953599870","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7a188e-0070-11e8-9bfb-5dd953599870","fullStatement":"The student is presented with a table of input and output values, a graph, or a verbal statement that represents a linear function.","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":["08"],"lastChangeDateTime":"2018-01-23T19:20:58+00:00"},{"identifier":"fc7a35d0-0070-11e8-8e30-adc43f671c6f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7a35d0-0070-11e8-8e30-adc43f671c6f","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":["08"],"lastChangeDateTime":"2018-01-23T19:25:10+00:00"},{"identifier":"fc7aa344-0070-11e8-ae6c-01bfd8b51683","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7aa344-0070-11e8-ae6c-01bfd8b51683","fullStatement":"**Prompt Features:** The student is prompted to determine the rate of change or the initial value given a representation of a linear function as a table or graph.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n-   Tables and graphs must be labeled.\r\n\r\n-   Graph scale should contain only integers.\r\n\r\n-   Item difficulty can be adjusted via these example methods:\r\n\r\n**Rate of change:**\r\n\r\n-   Input values increase by 1 unit on table or graph. Table values are whole numbers or integers.\r\n\r\n-   Input values increase by multiples of 2, 3, or 5 on table or graph.\r\n\r\n-   Table values are rational numbers. Values in decimal form should have only one digit after the decimal point.\r\n\r\n-   Input values do not increase by the same number of units each time. Table values are integers.\r\n\r\n**Initial value:**\r\n\r\n-   Table starts with an input value of 0.\r\n\r\n-   Table does not show an input value of 0 Input values increase by 1 or by multiples of 2, 3, or 5 units on table or graph. Table values are rational numbers.\r\n\r\n-   Values in decimals form should have only one digit after the decimal place.\r\n\r\n-   Table does not show an input value of 0. Input values do not increase by the same number of units each time. Table values are integers.","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":["08"],"lastChangeDateTime":"2018-01-23T19:27:38+00:00"},{"identifier":"fc7a60a0-0070-11e8-a963-d9985da783a8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7a60a0-0070-11e8-a963-d9985da783a8","fullStatement":"Task Model 2","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"educationLevel":["08"],"lastChangeDateTime":"2018-01-23T19:09:50+00:00"},{"identifier":"fc7ac34c-0070-11e8-94d6-65bdbcfd3d65","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7ac34c-0070-11e8-94d6-65bdbcfd3d65","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:45+00:00"},{"identifier":"fc7aec64-0070-11e8-91b2-396909be14cb","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7aec64-0070-11e8-91b2-396909be14cb","fullStatement":"**Example Stem 1:** In this table, *y* is a linear function of *x*.\r\n\r\n| *x* | *y* |\r\n|-----|-----|\r\n| 0   | 50  |\r\n| 2   | 40  |\r\n| 4   | 30  |\r\n| 6   | 20  |\r\n\r\nEnter the rate of change of this function.\r\n\r\n**Rubric:** (1 point) The student enters the correct rate of change (e.g., \u20135).","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":["08"],"lastChangeDateTime":"2018-02-04T19:04:21+00:00"},{"identifier":"fc7b0a3c-0070-11e8-afd7-a567f7807a28","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7b0a3c-0070-11e8-afd7-a567f7807a28","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:45+00:00"},{"identifier":"fc7b271a-0070-11e8-985e-e154a72cd5c4","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7b271a-0070-11e8-985e-e154a72cd5c4","fullStatement":"The student is presented with a table of values or a graph and asked to determine the rate of change or initial value.","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":["08"],"lastChangeDateTime":"2018-01-23T19:27:52+00:00"},{"identifier":"fc7b454c-0070-11e8-bb99-712e883ad0e6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7b454c-0070-11e8-bb99-712e883ad0e6","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":["08"],"lastChangeDateTime":"2018-01-23T19:28:29+00:00"},{"identifier":"fc7ba596-0070-11e8-a69a-85391f132fa8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7ba596-0070-11e8-a69a-85391f132fa8","fullStatement":"**Prompt Features:** The student is prompted to determine true statements regarding the rate of change and the initial value from a representation of the function using a table, graph, or verbal statement.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n-   Tables and graphs must be labeled.\r\n\r\n-   Graph scale should contain only integers.\r\n\r\n-   Item difficulty can be adjusted via these example methods:\r\n\r\n     **Rate of change:**\r\n\r\n       -   Input values increase by 1 unit on table or graph. Table values are whole numbers or integers.\r\n\r\n       -   Input values increase by multiples of 2, 3, or 5 on table or graph.\r\n\r\n       -   Table values are rational numbers. Values in decimal form should have only one digit after the decimal point.\r\n\r\n       -   Input values do not increase by the same number of units each time. Table values are integers.\r\n\r\n     **Initial value:**\r\n\r\n       -   Table starts with an input value of 0.\r\n\r\n       -   Table does not show an input value of 0 Input values increase by 1 or by multiples of 2, 3, or 5 units on table or graph. Table values are rational numbers.\r\n\r\n       -   Values in decimals form should have only one digit after the decimal place.\r\n\r\n       -   Table does not show an input value of 0. Input values do not increase by the same number of units each time. Table values are integers.","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":["08"],"lastChangeDateTime":"2018-02-04T19:09:53+00:00"},{"identifier":"fc7b6392-0070-11e8-a8cc-418fcbdaab06","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7b6392-0070-11e8-a8cc-418fcbdaab06","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":["08"],"lastChangeDateTime":"2018-01-23T19:10:56+00:00"},{"identifier":"fc7bc422-0070-11e8-b503-37b0fe56270d","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7bc422-0070-11e8-b503-37b0fe56270d","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:50+00:00"},{"identifier":"fc7bed30-0070-11e8-8826-f36642faa377","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7bed30-0070-11e8-8826-f36642faa377","fullStatement":"**Example Stem:** A swimming pool containing 1600 gallons of water is emptied at a constant rate of 300 gallons every 2 hours.\r\n\r\nDetermine whether each statement about the amount of water in the pool is true. Select True or False for each statement.\r\n\r\n| **Statement**                                                          | **True** | **False** |\r\n|------------------------------------------------------------------------|----------|-----------|\r\n| The initial amount of water in the pool is 1600 gallons.               |          |           |\r\n| The amount of water in the pool decreases by 150 gallons every 1 hour. |          |           |\r\n| The amount of water in the pool at 3 hours is 450 gallons.             |          |           |\r\n\r\n**Rubric:** (1 point) Student determines each statement as being either true or false (e.g., T, T, F).","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":["08"],"lastChangeDateTime":"2018-01-23T19:32:20+00:00"},{"identifier":"fc7c0bf8-0070-11e8-b76c-89bb8282c5ce","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7c0bf8-0070-11e8-b76c-89bb8282c5ce","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:50+00:00"},{"identifier":"fc7c29b2-0070-11e8-ab95-d1d5bf2d6eb7","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7c29b2-0070-11e8-ab95-d1d5bf2d6eb7","fullStatement":"The student is presented with a graph, table, or verbal description of a linear function.","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":["08"],"lastChangeDateTime":"2018-01-23T19:31:55+00:00"},{"identifier":"fc7c471c-0070-11e8-8c63-c924fe6a9766","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7c471c-0070-11e8-8c63-c924fe6a9766","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":["08"],"lastChangeDateTime":"2018-01-23T19:32:39+00:00"},{"identifier":"fc7ca7ca-0070-11e8-9846-89933202d39e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7ca7ca-0070-11e8-9846-89933202d39e","fullStatement":"**Prompt Features:** The student is prompted to determine true statements that qualitatively describe the functional relationship between two quantities.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n-   Tables and graphs must be labeled.\r\n\r\n-   Functions should have constant, decreasing, and/or increasing segments.\r\n\r\n-   Context should be familiar to students 13 to 15 years old.","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":["08"],"lastChangeDateTime":"2018-01-23T19:33:45+00:00"},{"identifier":"fc7c6490-0070-11e8-b053-d538c86e35bd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7c6490-0070-11e8-b053-d538c86e35bd","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:02+00:00"},{"identifier":"fc7cc5fc-0070-11e8-bbfd-4533af6e43d2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7cc5fc-0070-11e8-bbfd-4533af6e43d2","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:57+00:00"},{"identifier":"fc7cf004-0070-11e8-b7cd-5550e867de20","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7cf004-0070-11e8-b7cd-5550e867de20","fullStatement":"**Example Stem:** This graph shows the water temperature as a function of time.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr8_specs/G8_1F_F_Spec_V3_phase3_files/image013.jpg)\r\n\r\n<br>\r\n\r\nBased on the graph, determine whether each statement is true. Select True or False for each statement.\r\n\r\n<br>\r\n\r\n| **Statement**                                                  | **True** | **False** |\r\n|----------------------------------------------------------------|----------|-----------|\r\n| The water temperature is increasing between hour 1 and hour 2. |          |           |\r\n| The water temperature is increasing between hour 3 and hour 4. |          |           |\r\n| The water temperature is constant between hour 0 and hour 1.   |          |           |\r\n\r\n<br>\r\n\r\n**Rubric**: (1 point) Student determines each statement as being either true or false (e.g., T, F, F). Each statement is a sentence describing the behavior of the function.","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":["08"],"lastChangeDateTime":"2018-01-29T12:17:51+00:00"},{"identifier":"fc7d0e72-0070-11e8-8698-d3624c18db9e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7d0e72-0070-11e8-8698-d3624c18db9e","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:57+00:00"},{"identifier":"fc7d2af6-0070-11e8-a085-09bc97e40025","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7d2af6-0070-11e8-a085-09bc97e40025","fullStatement":"The student is presented with a graph of a function which contains linear and/or nonlinear segments.","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":["08"],"lastChangeDateTime":"2018-01-23T19:33:55+00:00"},{"identifier":"fc7d482e-0070-11e8-bc32-33554c671912","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7d482e-0070-11e8-bc32-33554c671912","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":["08"],"lastChangeDateTime":"2018-01-23T19:34:33+00:00"},{"identifier":"fc7daa94-0070-11e8-9814-85c7c9089e65","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7daa94-0070-11e8-9814-85c7c9089e65","fullStatement":"**Prompt Features:** The student is prompted to identify a graph or statements about a graph that match a given qualitative description.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n-   Graph can contain increasing, decreasing, and constant linear and nonlinear segments.\r\n\r\n-   Context should be familiar to students 13 to 15 years old.\r\n\r\n-   Item difficulty can be adjusted via these example methods:\r\n\r\n     -   Student verbally describes the qualitative features exhibited on a graph.\r\n\r\n    -   Student identifies a graph that exhibits the features of a function that has been described verbally with three or more qualitative statements.","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":["08"],"lastChangeDateTime":"2018-02-04T19:10:28+00:00"},{"identifier":"fc7d66e2-0070-11e8-8a93-97ddb1f8cabb","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7d66e2-0070-11e8-8a93-97ddb1f8cabb","fullStatement":"Task Model 5a","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:10+00:00"},{"identifier":"fc7dc7d6-0070-11e8-b59d-4d8feab86a10","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7dc7d6-0070-11e8-b59d-4d8feab86a10","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":["08"],"lastChangeDateTime":"2018-01-23T19:12:02+00:00"},{"identifier":"fc7df2d8-0070-11e8-8b1f-df17c16769e9","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7df2d8-0070-11e8-8b1f-df17c16769e9","fullStatement":"**Example Stem:** John is riding his bike.\r\n\r\n-   He increases his speed for 30 seconds.\r\n\r\n-   He stays approximately the same speed for the next 20 seconds.\r\n\r\n-   He slows down to a stop during the last 15 seconds.\r\n\r\nSelect the graph that best represents John\u2019s speed over time.\r\n\r\n<br>\r\n\r\nA.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr8_specs/G8_1F_F_Spec_V3_phase3_files/image016.jpg)\r\n\r\nB.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr8_specs/G8_1F_F_Spec_V3_phase3_files/image018.jpg)\r\n\r\nC.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr8_specs/G8_1F_F_Spec_V3_phase3_files/image020.jpg)\r\n\r\nD.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr8_specs/G8_1F_F_Spec_V3_phase3_files/image022.jpg)\r\n\r\n<br>\r\n\r\n**Answer Choices:** Each answer choice should be a graph that matches the verbal description. Distractors should be incorrect graphs that do not match the verbal description.\r\n\r\n**Rubric:** (1 point) The student selects the correct graph that represents John\u2019s speed over time (e.g., A).","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":["08"],"lastChangeDateTime":"2018-01-29T12:18:13+00:00"},{"identifier":"fc7e1114-0070-11e8-831a-9d2831b30e28","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7e1114-0070-11e8-831a-9d2831b30e28","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":["08"],"lastChangeDateTime":"2018-01-23T19:12:02+00:00"},{"identifier":"fc7e2e60-0070-11e8-b56b-79504540abcc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7e2e60-0070-11e8-b56b-79504540abcc","fullStatement":"The student is presented with a description of a context or a graph of a function.","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":["08"],"lastChangeDateTime":"2018-01-23T19:35:52+00:00"},{"identifier":"fc7e4c38-0070-11e8-b46a-914eeeddcd0c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7e4c38-0070-11e8-b46a-914eeeddcd0c","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":["08"],"lastChangeDateTime":"2018-01-23T19:38:39+00:00"},{"identifier":"fc7eac8c-0070-11e8-9d86-fd884c068fb9","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7eac8c-0070-11e8-9d86-fd884c068fb9","fullStatement":"**Prompt Features:** The student is prompted to create a graph that has given characteristics such as increasing, decreasing, or constant segments.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n-   Context can contain increasing, decreasing, and constant linear and nonlinear segments and should be familiar to students 13 to 15 years old.\r\n\r\n-   Item difficulty can be adjusted via these example methods:\r\n\r\n    -   Three or more qualitative statements\r\n\r\n    -   Requires particular ordered pairs to be plotted.","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":["08"],"lastChangeDateTime":"2018-01-23T19:40:51+00:00"},{"identifier":"fc7e6a88-0070-11e8-9433-9745d2935489","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7e6a88-0070-11e8-9433-9745d2935489","fullStatement":"Task Model 5b","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":["08"],"lastChangeDateTime":"2018-01-23T19:11:17+00:00"},{"identifier":"fc7ecb9a-0070-11e8-ba47-e326f8043cb2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7ecb9a-0070-11e8-ba47-e326f8043cb2","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":["08"],"lastChangeDateTime":"2018-01-23T19:12:08+00:00"},{"identifier":"fc7ef4bc-0070-11e8-be07-0362502b6698","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7ef4bc-0070-11e8-be07-0362502b6698","fullStatement":"**Example Stem:** John is riding his bike.\r\n\r\n-   He increases his speed for 30 seconds.\r\n\r\n-   He stays at the same speed for the next 20 seconds.\r\n\r\n-   He slows down to a stop during the last 15 seconds.\r\n\r\nUse the Connect Line tool to draw a graph that represents John\u2019s speed over time.\r\n\r\n**Interaction:** The student uses Add Point and Connect Line tools to plot points in the coordinate plane and connects the points with lines. Delete tool will also be provided.\r\n\r\n**Rubric:** (1 point) The student correctly draws a graph that represents the relationship (e.g., see below).\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr8_specs/G8_1F_F_Spec_V3_phase3_files/image016.jpg)","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":["08"],"lastChangeDateTime":"2018-01-29T12:18:35+00:00"},{"identifier":"fc7f13ac-0070-11e8-9047-17eb5f1ee81c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7f13ac-0070-11e8-9047-17eb5f1ee81c","fullStatement":"Graphing items are not currently able to be Brailled. Minimize the number of items developed to this TM.","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["08"],"lastChangeDateTime":"2018-01-23T19:42:03+00:00"},{"identifier":"fc7f3102-0070-11e8-b1a0-edf88fe0e5e6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7f3102-0070-11e8-b1a0-edf88fe0e5e6","fullStatement":"The student is presented with a blank grid with *x*- and *y*-axes labeled and the description of the 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":["08"],"lastChangeDateTime":"2018-03-27T12:12:24+00:00"},{"identifier":"fc7f4d9a-0070-11e8-9626-0f2a89c42049","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/fc7f4d9a-0070-11e8-9626-0f2a89c42049","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":["08"],"lastChangeDateTime":"2018-01-23T19:42:10+00:00"},{"identifier":"f733a3c0-0072-11e8-b83e-71d85834a3ff","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/f733a3c0-0072-11e8-b83e-71d85834a3ff","fullStatement":"**Example Stem 2:** This graph represents a linear function.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr8_specs/G8_1F_F_Spec_V3_phase3_files/image001.jpg)\r\n\r\n<br>\r\n\r\nEnter an equation in the form *y =* m*x +b* that represents the function.\r\n\r\n**Rubric:** (1 point) Student enters the correct equation (e.g., *y = - 4x + 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":["08"],"lastChangeDateTime":"2018-01-29T12:16:53+00:00"},{"identifier":"0a536058-0073-11e8-a0b2-0f56880b6884","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0a536058-0073-11e8-a0b2-0f56880b6884","fullStatement":"**Example Stem 3:** A swimming pool with 1600 gallons of water is emptied at a constant rate of 300 gallons every 2 hours.\r\n\r\nEnter an equation in the form *y =* m*x +b* that represents the amount of water *y*, in gallons, remaining in the pool after *x* hours.\r\n\r\n**Rubric:** (1 point) Student enters the correct equation (e.g., *y = - 150x + 1600*).","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":["08"],"lastChangeDateTime":"2018-01-23T19:24:56+00:00"},{"identifier":"cdd5340c-0073-11e8-8787-157a468f6a50","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/cdd5340c-0073-11e8-8787-157a468f6a50","fullStatement":"**Example Stem 2:** This table shows water level in a tank as a linear function of time.\r\n\r\n| **Time (hr)** | **Water Level (ft)** |\r\n|---------------|----------------------|\r\n| 0             | 50                   |\r\n| 2             | 40                   |\r\n| 4             | 30                   |\r\n| 6             | 20                   |\r\n\r\nEnter the rate of change of the water level, in feet per hour.\r\n\r\n**Rubric:** (1 point) The student enters the correct rate of change (e.g., \u20135).","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":["08"],"lastChangeDateTime":"2018-01-23T19:30:00+00:00"},{"identifier":"e8bd57ea-0073-11e8-8f5e-538ab170bb14","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/e8bd57ea-0073-11e8-8f5e-538ab170bb14","fullStatement":"**Example Stem 3:** This graph shows water level in a tank as a linear function of time.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_Gr8_specs/G8_1F_F_Spec_V3_phase3_files/image011.jpg)\r\n\r\nEnter the initial water level, in feet, of the water tank.\r\n\r\n**Rubric:** (1 point) The student enters the correct initial value (e.g., 30).\r\n\r\n**Note:** Without other information that points to a specific value on the graph, allow for a range of responses (e.g., 29.5-30.5).","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 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