{"CFDocument":{"identifier":"e35760a4-05f8-11e8-966e-795aa44dee69","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFDocuments/e35760a4-05f8-11e8-966e-795aa44dee69","creator":"Smarter Balanced_Math Claim 1 Item Specifications","title":"HS Mathematics Item Specification C1 TK","lastChangeDateTime":"2022-09-23T23:35:02+00:00","officialSourceURL":"https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3.docx","publisher":"Smarter Balanced Assessment Consortium","subject":["Math"],"subjectURI":[{"title":"Math","identifier":"d41fb0f6-b390-11e7-9a98-233b080813ce","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFSubjects/d41fb0f6-b390-11e7-9a98-233b080813ce"}],"adoptionStatus":"Draft","notes":"HS_1K_Func_Spec_V3_phase3"},"CFItems":[{"identifier":"0b85f16c-05f9-11e8-9bca-97a87ba150c5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0b85f16c-05f9-11e8-9bca-97a87ba150c5","fullStatement":"Tasks for this target will require students to distinguish between relationships that represent functions and those that do not, including recognizing a sequence as a function. Other tasks will require students to identify the domain and range of a function, often in the context of problems associated with Claims 2-4.","CFItemType":"Clarification","CFItemTypeURI":{"title":"Clarification","identifier":"f6e54927-6d0a-4ed6-94f7-3ee1f5ca4fcf","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f6e54927-6d0a-4ed6-94f7-3ee1f5ca4fcf"},"abbreviatedStatement":"Clarifications","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:13:53+00:00"},{"identifier":"0cb5f37a-05f9-11e8-a629-f9e5039ac5c7","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb5f37a-05f9-11e8-a629-f9e5039ac5c7","fullStatement":"Item Writing and Scoring Guidelines","CFItemType":"Section Heading","CFItemTypeURI":{"title":"Section Heading","identifier":"ab8e8fdc-baaa-400f-9dc8-7b737f8b86ff","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/ab8e8fdc-baaa-400f-9dc8-7b737f8b86ff"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:13:53+00:00"},{"identifier":"0cb67d18-05f9-11e8-8b4c-8d78b3a35234","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb67d18-05f9-11e8-8b4c-8d78b3a35234","fullStatement":"Students should be able to distinguish between functions and non-functions. They should be able to state the domain and range given a graph.","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"abbreviatedStatement":"Level 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:14:07+00:00"},{"identifier":"0cb636dc-05f9-11e8-a95f-ed17d629cb73","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb636dc-05f9-11e8-a95f-ed17d629cb73","fullStatement":"RANGE Achievement Level Descriptors (Range ALDs)","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:06:25+00:00"},{"identifier":"0cb6a0f4-05f9-11e8-8a4b-9b5d147eeae2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb6a0f4-05f9-11e8-8a4b-9b5d147eeae2","fullStatement":"Students should understand the concept of a function in order to distinguish a relation as a function or not a function. They should be able to identify domain and range of a function given a graph of a quadratic, linear, cubic, or absolute function, and they should understand that the graph of a function *f*(*x*) is the graph of the equation *y* = *f*(*x*).","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"abbreviatedStatement":"Level 2","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:14:27+00:00"},{"identifier":"0cb6c200-05f9-11e8-87eb-0b139ee4972b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb6c200-05f9-11e8-87eb-0b139ee4972b","fullStatement":"Students should be able to use function notation to evaluate a function given in function notation for a particular input. They should be able to identify the domain and range for any given function presented in any form, e.g., as a graph, a verbal description, or a sequence.","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"abbreviatedStatement":"Level 3","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:14:39+00:00"},{"identifier":"0cb6e488-05f9-11e8-b7d7-09dced7d9da5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb6e488-05f9-11e8-b7d7-09dced7d9da5","fullStatement":"Students should be able to find the input for a given output when given in function notation.","CFItemType":"Range ALD","CFItemTypeURI":{"title":"Range ALD","identifier":"4c380133-6f2b-4606-9a4d-aa87b9980467","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/4c380133-6f2b-4606-9a4d-aa87b9980467"},"abbreviatedStatement":"Level 4","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:14:49+00:00"},{"identifier":"0cb74a18-05f9-11e8-916e-6b87e6de6b77","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb74a18-05f9-11e8-916e-6b87e6de6b77","fullStatement":"The student understands that a function from one set (the domain) to another set (the range) assigns to each element of the domain exactly one element of the range (e.g., distinguish between functions and non-functions).","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:15:03+00:00"},{"identifier":"0cb706de-05f9-11e8-8d64-4fa27be65376","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb706de-05f9-11e8-8d64-4fa27be65376","fullStatement":"Evidence Required","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:06:25+00:00"},{"identifier":"0cb78fdc-05f9-11e8-b2a9-957bf6be5429","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb78fdc-05f9-11e8-b2a9-957bf6be5429","fullStatement":"[Retired Evidence Required statement]","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 2","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:15:15+00:00"},{"identifier":"0cb7c02e-05f9-11e8-9e23-c36d98fb01c3","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb7c02e-05f9-11e8-9e23-c36d98fb01c3","fullStatement":"The student understands that the graph of *f* is the graph of the equation *y = f(x)*.","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 3","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:15:31+00:00"},{"identifier":"0cb7f738-05f9-11e8-96b8-89a2f021f0d5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb7f738-05f9-11e8-96b8-89a2f021f0d5","fullStatement":"The student recognizes that sequences are functions whose   domain is a subset of the integers.","CFItemType":"Evidence Required","CFItemTypeURI":{"title":"Evidence Required","identifier":"62ae8acf-e478-4213-a2d2-aebec5b898df","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/62ae8acf-e478-4213-a2d2-aebec5b898df"},"abbreviatedStatement":"Evidence Required 4","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:15:45+00:00"},{"identifier":"0cb87fa0-05f9-11e8-9f9c-a1080f1618fc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb87fa0-05f9-11e8-9f9c-a1080f1618fc","fullStatement":"domain, range, function, input, output, sequence, relation, ordered pair(s)","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Key/Construct Relevant Vocabulary","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:16:08+00:00"},{"identifier":"0cb82aaa-05f9-11e8-b46b-9fbee14f1715","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb82aaa-05f9-11e8-b46b-9fbee14f1715","fullStatement":"General Item Information","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:06:25+00:00"},{"identifier":"0cb8a390-05f9-11e8-aab8-6560f54dbcea","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb8a390-05f9-11e8-aab8-6560f54dbcea","fullStatement":"Calculator (varies by task model)","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:16:21+00:00"},{"identifier":"0cb8c5aa-05f9-11e8-bc80-970da6bc86b7","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb8c5aa-05f9-11e8-bc80-970da6bc86b7","fullStatement":"None","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Target-Specific Attributes","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:06:41+00:00"},{"identifier":"0cb8e800-05f9-11e8-ac5f-d72a81d0c13f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb8e800-05f9-11e8-ac5f-d72a81d0c13f","fullStatement":"None","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Non-Target Constructs","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:06:41+00:00"},{"identifier":"0cb90a1a-05f9-11e8-909e-d7604105f4ce","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb90a1a-05f9-11e8-909e-d7604105f4ce","fullStatement":"Some items aligned to this target will be assessed in Claim 3 and Claim 4 and may require students to explain and/or justify why a graph is or is not a function (e.g., explain the vertical line test).","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Development Notes","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:16:40+00:00"},{"identifier":"0cb92ce8-05f9-11e8-a978-411d769d9602","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb92ce8-05f9-11e8-a978-411d769d9602","fullStatement":"functions defined by words, equations, tables, sets of ordered pairs, graphs, and sequences","CFItemType":"General Requirements","CFItemTypeURI":{"title":"General Requirements","identifier":"a2c9fb5b-56f1-4d92-af37-4edbbfcce40f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/a2c9fb5b-56f1-4d92-af37-4edbbfcce40f"},"abbreviatedStatement":"Allowable Stimulus Materials","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:15:56+00:00"},{"identifier":"0cb94eda-05f9-11e8-be5d-ef0aec22507b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0cb94eda-05f9-11e8-be5d-ef0aec22507b","fullStatement":"Item writers should consider the following Language and Visual Element/Design guidelines [1] when developing items.\r\n\r\nLanguage Key Considerations:\r\n\r\n-   Use simple, clear, and easy-to-understand language needed to assess the construct or aid in the understanding of the context\r\n\r\n-   Avoid sentences with multiple clauses\r\n\r\n-   Use vocabulary that is at or below grade level\r\n\r\n-   Avoid ambiguous or obscure words, idioms, jargon, unusual names and references\r\n\r\nVisual Elements/Design Key Considerations:\r\n\r\n-   Include visual elements only if the graphic is needed to assess the construct or it aids in the understanding of the context\r\n\r\n-   Use the simplest graphic possible with the greatest degree of contrast, and include clear, concise labels where necessary\r\n\r\n-   Avoid crowding of details and graphics\r\n\r\nItems are selected for a student\u2019s test according to the blueprint, which selects items based on Claims and targets, not task models.\r\n\r\nAs such, careful consideration is given to making sure fully accessible items are available to cover the content of every Claim and target, even if some item formats are not fully accessible using current technology.[2]\r\n\r\n[1] For more information, refer to the General Accessibility Guidelines at [https://portal.smarterbalanced.org/library/en/general-accessibility-guidelines.pdf](https://portal.smarterbalanced.org/library/en/general-accessibility-guidelines.pdf) \r\n\r\n[2] For more information about student accessibility resources and policies,\r\nrefer to [https://portal.smarterbalanced.org/library/en/usability-accessibility-and-accommodations-guidelines.pdf](https://portal.smarterbalanced.org/library/en/usability-accessibility-and-accommodations-guidelines.pdf)","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Concerns/Guidance","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-21T17:21:38+00:00"},{"identifier":"0e15a1f2-05f9-11e8-83bc-5543116e6620","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e15a1f2-05f9-11e8-83bc-5543116e6620","fullStatement":"Task Models","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:13:53+00:00"},{"identifier":"0e163a9a-05f9-11e8-a48e-c35c90ab7558","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e163a9a-05f9-11e8-a48e-c35c90ab7558","fullStatement":"**Prompt Features:** Distinguish between functions and non-functions based on recognizing that each element of the domain maps to exactly one element of the range.\r\n\r\n**Stimulus Guidelines:** The student is prompted to select which of a set of relations represented with equations determines one variable as a function of the other variable. Equations should be based on equations that students are familiar with in their work in algebra and coordinate geometry.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:17:56+00:00"},{"identifier":"0e15f6ac-05f9-11e8-9f0b-011189946d1b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e15f6ac-05f9-11e8-9f0b-011189946d1b","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"},"notes":"**Version 3 Update:**\r\nTM1a retired and revised TM1b.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:18:59+00:00"},{"identifier":"0e165764-05f9-11e8-b6df-7f514132afd2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e165764-05f9-11e8-b6df-7f514132afd2","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:09:32+00:00"},{"identifier":"0e1685cc-05f9-11e8-9410-ef44a15dd9ec","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1685cc-05f9-11e8-9410-ef44a15dd9ec","fullStatement":"**Example Stem:** The equation of any line in the coordinate plane can be written in the form *Ax* + *By* = *C* where *A*, *B*, and *C* are real numbers. Select **all** of the equations below that define *y* as a function of *x*.\r\n\r\nA. 3*x* \u2013 4*y* = \u25002\r\n\r\nB. \u25009*x* + 0*y* = 78\r\n\r\nC. 0*x* + 56*y* = \u250011\r\n\r\nD. \u250012*x* \u2500 85*y* = 0\r\n\r\n**Rubric:** (1 point) The student correctly selects all options that represent *y* as a function of *x* (e.g., A, C, D).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:18:33+00:00"},{"identifier":"0e16be7a-05f9-11e8-9856-eb47e56ee3a0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e16be7a-05f9-11e8-9856-eb47e56ee3a0","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:09:32+00:00"},{"identifier":"0e16dacc-05f9-11e8-9876-b9943075121c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e16dacc-05f9-11e8-9876-b9943075121c","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:18:51+00:00"},{"identifier":"0e16f6ba-05f9-11e8-adf8-ab226ca701af","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e16f6ba-05f9-11e8-adf8-ab226ca701af","fullStatement":"The student is presented with a set of equations representing a variety of functions and non-functions. Equations may be linear, quadratic, polynomials, or absolute value. Students may graph or perform algebraic manipulations to check.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:18:09+00:00"},{"identifier":"0e175196-05f9-11e8-8cbd-f90f46d758dc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e175196-05f9-11e8-8cbd-f90f46d758dc","fullStatement":"**Prompt Features:** Distinguish between functions and non-functions based on recognizing that each element of the domain maps to exactly one element of the range.\r\n\r\n**Stimulus Guidelines:** The student is prompted to select which statements are true or false, given the domain and range of a function.\r\n\r\n-   There should be no fewer than four and no more than six answer choices.\r\n\r\n-   Item difficulty can be adjusted by varying the information about the domain and range of the function.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:19:23+00:00"},{"identifier":"0e17128a-05f9-11e8-aebd-d9ed909d69ea","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e17128a-05f9-11e8-aebd-d9ed909d69ea","fullStatement":"Task Model 1c","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\nNew example stem 1 added to TM1c.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:22:22+00:00"},{"identifier":"0e176e9c-05f9-11e8-bbfc-fb7d3d96fa9f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e176e9c-05f9-11e8-bbfc-fb7d3d96fa9f","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:09:25+00:00"},{"identifier":"0e179c3c-05f9-11e8-9d3f-277680947fba","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e179c3c-05f9-11e8-9d3f-277680947fba","fullStatement":"**Example Stem 1:**\r\n\r\nThe height in meters, *h*, of a model rocket above the ground is given *t* seconds after launch by the equation\r\n\r\n*h* = \u25005*t*2 + 40*t*\r\nwhere 0 \u2264 *t* \u22648 and 0 \u2264 *h*(*t*) \u226480\r\n\r\nSelect **all** of the statements below that are true.\r\n\r\nA. *h*(0) = 0\r\n\r\nB. *h*(10) = \u2500100\r\n\r\nC. The height of the rocket is 0 meters after 8 seconds from the launch.\r\n\r\nD. The rocket reaches a height of 320 feet.\r\n\r\n**Rubric:** (1 point) The student correctly selects all valid options based on the stem (e.g., A, C).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:21:47+00:00"},{"identifier":"0e17b8ac-05f9-11e8-b3cb-1ba9a3831c46","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e17b8ac-05f9-11e8-b3cb-1ba9a3831c46","fullStatement":"**Example Stem 2:**\r\n\r\nA function, *f*, has domain \u250010 \u2264 *x* \u2264 20 and range\r\n\u250040 \u2264 f(*x*) \u2264 \u250010.\r\n\r\n*f*(1) = \u250013\r\n*f*(\u250010) = \u250040\r\n\r\nSelect each statement that **must be false** about *f*(*x*).\r\n\r\nA.  *f*(1) = 13\r\n\r\nB.  *f*(\u25009) = 88\r\n\r\nC.  *f*(5) = \u250040\r\n\r\nD.  *f*(0) = 0\r\n\r\nE.  *f*(\u250015) = \u250020\r\n\r\n**Rubric:** (1 point) The student correctly selects all valid options based on the stem (e.g., A, B, D, E).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 2","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:21:57+00:00"},{"identifier":"0e17d4ea-05f9-11e8-a139-d5379d2f90f6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e17d4ea-05f9-11e8-a139-d5379d2f90f6","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:09:25+00:00"},{"identifier":"0e17f0b0-05f9-11e8-aece-0b98d8040feb","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e17f0b0-05f9-11e8-aece-0b98d8040feb","fullStatement":"The student is presented with the domain and range of a function *f*(*x*), as well as two given values of the 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":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:19:36+00:00"},{"identifier":"0e180d48-05f9-11e8-badb-0322f4a8de10","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e180d48-05f9-11e8-badb-0322f4a8de10","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:22:14+00:00"},{"identifier":"0e18695a-05f9-11e8-87ec-734747517a81","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e18695a-05f9-11e8-87ec-734747517a81","fullStatement":"**Prompt Features:** Distinguish between functions and non-functions based on recognizing that each element of the domain maps to exactly one element of the range.\r\n\r\n**Stimulus Guidelines:** the student is presented with several data tables and\r\nprompted to select which might represent functions.\r\n\r\n-   The tables should contain no fewer than four and no more than six pairs of data values.\r\n\r\n-   Item difficulty can be adjusted by varying the size of the tables and the complexity of the data in the tables.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:22:51+00:00"},{"identifier":"0e182a3a-05f9-11e8-a088-71bdabfa655f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e182a3a-05f9-11e8-a088-71bdabfa655f","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"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:07:31+00:00"},{"identifier":"0e188854-05f9-11e8-a853-83d9819a1703","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e188854-05f9-11e8-a853-83d9819a1703","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:09:15+00:00"},{"identifier":"0e18c18e-05f9-11e8-aeae-7b8ea18e7351","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e18c18e-05f9-11e8-aeae-7b8ea18e7351","fullStatement":"**Example Stem:** Some students are studying graphs of functions *y*= *f*(*x*) and other equations. Each table contains some points on a particular graph. Decide whether each set of points **might be** on the graph of a function or **cannot be** on the graph of a function.\r\n\r\n![formatted Table](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3_files/TM1d.png)\r\n\r\n**Rubric:** (1 point) The student correctly identifies the true statement (e.g. NYY).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:23:23+00:00"},{"identifier":"0e19186e-05f9-11e8-a1e7-574e22c1c4d8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e19186e-05f9-11e8-a1e7-574e22c1c4d8","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:09:15+00:00"},{"identifier":"0e1933f8-05f9-11e8-9fd2-c95a5f7a29e5","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1933f8-05f9-11e8-9fd2-c95a5f7a29e5","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:24:33+00:00"},{"identifier":"0e194faa-05f9-11e8-83dd-15560436f867","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e194faa-05f9-11e8-83dd-15560436f867","fullStatement":"The student is presented with three or four data tables.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:23:03+00:00"},{"identifier":"0e19aae0-05f9-11e8-83ea-6962a248a2a8","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e19aae0-05f9-11e8-83ea-6962a248a2a8","fullStatement":"**Prompt Features:** Distinguish between functions and non-functions based on recognizing that each element of the domain maps to exactly one element of the range.\r\n\r\n**Stimulus Guidelines:** The student is presented with a graph in a real-world or mathematical context and asked if it represents the graph of a function.\r\n\r\n-   Graphs throughout should be properly identified [e.g., *y = f*(*x*)].\r\n\r\n-   Graph may be scatterplots, linear, quadratic, rational, or piece-wise functions.\r\n\r\n-   Item difficulty can be adjusted by varying the type of functions and non-functions represented by the graphs.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:26:00+00:00"},{"identifier":"0e196c60-05f9-11e8-8e69-6f60dfc5d14b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e196c60-05f9-11e8-8e69-6f60dfc5d14b","fullStatement":"Task Model 1e","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"notes":"**Version 3 Update:** \r\nAdded new TM1e, TM1f, and TM1g.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:27:09+00:00"},{"identifier":"0e19c80e-05f9-11e8-9708-7109df74028f","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e19c80e-05f9-11e8-9708-7109df74028f","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:09:06+00:00"},{"identifier":"0e19ef3c-05f9-11e8-850d-3b9982d44749","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e19ef3c-05f9-11e8-850d-3b9982d44749","fullStatement":"**Example Stem:** The graphs below show different information about the weather in a large city in the U.S. for one week in May.\r\n\r\n**A,** ![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3_files/image001.png)\r\n\r\n**B.** ![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3_files/image002.png)\r\n\r\n**C.** ![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3_files/image003.png)\r\n\r\nDetermine whether each graph represents the given quantity as a function of time.\r\n\r\n|                                                                               | **True** | **False** |\r\n|-------------------------------------------------------------------------------|----------|-----------|\r\n| Graph A represents temperature as a function of time.                         |          |           |\r\n| Graph B represents amount of accumulated precipitation as a function of time. |          |           |\r\n| Graph C represents the solar intensity as a function of time.                 |          |           |\r\n\r\n<br>\r\n\r\n**Rubric:** (1 point) The student chooses the correct responses (FTT).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:23:55+00:00"},{"identifier":"0e1a0e86-05f9-11e8-b4d7-3141a759154d","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1a0e86-05f9-11e8-b4d7-3141a759154d","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:09:06+00:00"},{"identifier":"0e1a2b28-05f9-11e8-bac4-936785d287d9","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1a2b28-05f9-11e8-bac4-936785d287d9","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:26:59+00:00"},{"identifier":"0e1a468a-05f9-11e8-ad8e-4d3c475bcdfb","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1a468a-05f9-11e8-ad8e-4d3c475bcdfb","fullStatement":"The student is presented with a graph, and asked whether it represents the 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":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:26:10+00:00"},{"identifier":"0e1aa576-05f9-11e8-88c0-256215b5d5f6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1aa576-05f9-11e8-88c0-256215b5d5f6","fullStatement":"**Prompt Features:** Distinguish between functions and non-functions based on recognizing that each element of the domain maps to exactly one element of the range.\r\n\r\n**Stimulus Guidelines:** The student is presented with a graph in a real-world or mathematical context and asked if it represents the graph of a function.\r\n\r\n-   Graphs throughout should be properly identified [e.g., *y = f*(*x*)].\r\n\r\n-   Graph may be scatterplots, linear, quadratic, rational, or piece-wise functions.\r\n\r\n-   Item difficulty can be adjusted by varying the type of functions and non-functions represented by the graphs.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:27:38+00:00"},{"identifier":"0e1a63d6-05f9-11e8-912a-d790e1a22d8e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1a63d6-05f9-11e8-912a-d790e1a22d8e","fullStatement":"Task Model 1f","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"notes":"**Version 3 Update:** \r\nAdded new TM1e, TM1f, and TM1g.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:30:06+00:00"},{"identifier":"0e1ac2e0-05f9-11e8-a3bd-bb9799ceeef4","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1ac2e0-05f9-11e8-a3bd-bb9799ceeef4","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:08:59+00:00"},{"identifier":"0e1af152-05f9-11e8-8ea8-c71c82b59e7b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1af152-05f9-11e8-8ea8-c71c82b59e7b","fullStatement":"**Example Stem 1:** The scatterplot represents the relationship between the average height and weight of 15 different dog breeds.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3_files/image004.png)\r\n\r\n| **Height (inches)** | 10.25 | 27 | 25 | 25 | 17 | 21.5 | 16.5 | 25 | 10.5 | 26  | 25 | 20.5 | 14 | 26 | 30.5 |\r\n|:---------------------:|:-------:|:----:|:----:|:----:|:----:|:------:|:------:|:----:|:------:|:-----:|:----:|:------:|:----:|:----:|:------:|\r\n| **Weight (pounds)** | **7**     | **60** | **85** | **62** | **25** | **50**   | **20**   | **67** | **9.5**  | **100** | **67** | **45**   | **15** | **82** | **125**  |\r\n\r\nThe second graph shows the same data with a line of best fit.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3_files/image005.png)\r\n\r\nWhich statement best describes the relationship displayed by the scatterplot and line of best fit?\r\n\r\nA. Both the scatterplot and the line of best fit represent a function.\r\n\r\nB. The scatterplot represents a function but the line of best fit does not.\r\n\r\nC. The line of best fit represents a function but the scatterplot does not.\r\n\r\nD. Neither represents a function.\r\n\r\n**Rubric:** (1 point) The student chooses the correct response (e.g., C)","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 1","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:24:30+00:00"},{"identifier":"0e1b0f20-05f9-11e8-9a9e-2d25965a4556","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1b0f20-05f9-11e8-9a9e-2d25965a4556","fullStatement":"**Example Stem 2:** Three different parabolas, each defined by a different equation, are shown in the coordinate plane.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3_files/TM1f.png)\r\n\r\n\r\n\r\nWhich graph represents *y* as a function of *x*?\r\n\r\nA. Graph A\r\n\r\nB. Graph B\r\n\r\nC. Graph C\r\n\r\nD. None of the graphs\r\n\r\n**Rubric:** (1 point) The student chooses the correct response (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 2","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:24:45+00:00"},{"identifier":"0e1b2b40-05f9-11e8-958c-77333de65180","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1b2b40-05f9-11e8-958c-77333de65180","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:08:59+00:00"},{"identifier":"0e1b4850-05f9-11e8-ac12-8d283584a9a6","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1b4850-05f9-11e8-ac12-8d283584a9a6","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:29:53+00:00"},{"identifier":"0e1b6498-05f9-11e8-80a3-cff46ccd3640","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1b6498-05f9-11e8-80a3-cff46ccd3640","fullStatement":"The student is presented with a graph, and asked whether it represents the 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":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:27:47+00:00"},{"identifier":"0e1bc4a6-05f9-11e8-8bbe-571203cc1f89","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1bc4a6-05f9-11e8-8bbe-571203cc1f89","fullStatement":"**Prompt Features:** Distinguish between functions and non-functions based on recognizing that each element of the domain maps to exactly one element of the range.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:30:25+00:00"},{"identifier":"0e1b80d6-05f9-11e8-9719-afab705e143e","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1b80d6-05f9-11e8-9719-afab705e143e","fullStatement":"Task Model 1g","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"notes":"**Version 3 Update:** \r\nAdded new TM1e, TM1f, and TM1g.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:32:20+00:00"},{"identifier":"0e1be206-05f9-11e8-97a6-e3afdf78de42","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1be206-05f9-11e8-97a6-e3afdf78de42","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:08:51+00:00"},{"identifier":"0e1c1082-05f9-11e8-aef6-fb7173d7f553","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1c1082-05f9-11e8-aef6-fb7173d7f553","fullStatement":"**Example Stem:** The height in meters, *h*, of a model rocket above the ground is given *t* seconds after launch by the equation\r\n\r\n*h* = \u2500$5t^{2}$ + 40*t*\r\n\r\nGiven this information, indicate whether each statement is true or false.\r\n\r\n|                                                    | **True** | **False** |\r\n|----------------------------------------------------|----------|-----------|\r\n| The height of the rocket is a function of time.    |          |           |\r\n| The time since launch is a function of the height. |          |           |\r\n\r\n**Rubric:** (1 point) The student chooses the correct responses (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":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:31:37+00:00"},{"identifier":"0e1c4aca-05f9-11e8-b3ff-9fa755460e59","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1c4aca-05f9-11e8-b3ff-9fa755460e59","fullStatement":"NA","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:08:51+00:00"},{"identifier":"0e1c664a-05f9-11e8-a0cb-4d93bfbcdbdc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1c664a-05f9-11e8-a0cb-4d93bfbcdbdc","fullStatement":"Calculator","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:32:06+00:00"},{"identifier":"0e1c8288-05f9-11e8-ba2b-6dc9f5f44681","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1c8288-05f9-11e8-ba2b-6dc9f5f44681","fullStatement":"The student is prompted to select which of a set of relations represented with equations determines one variable as a function of the other variable.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:30:41+00:00"},{"identifier":"0e1cdefe-05f9-11e8-83af-ff2d8fe0f24a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1cdefe-05f9-11e8-83af-ff2d8fe0f24a","fullStatement":"**Prompt Features:** The student understands that the graph of *f* is the graph of the equation *y = f*(*x*).\r\n\r\n**Stimulus Guidelines:**\r\n\r\n-   Difficulty level can be altered by varying the type of functions graphed.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:32:36+00:00"},{"identifier":"0e1c9f98-05f9-11e8-b430-bfb0231588d2","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1c9f98-05f9-11e8-b430-bfb0231588d2","fullStatement":"Task Model 3","CFItemType":"Task Model","CFItemTypeURI":{"title":"Task Model","identifier":"f66a54af-9e35-46d4-8ba6-66606c888f6c","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/f66a54af-9e35-46d4-8ba6-66606c888f6c"},"notes":"**Version 3 Update:**\r\nRetired TM2 and Evidence Required statement 2.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:34:07+00:00"},{"identifier":"0e1cfbdc-05f9-11e8-92cd-0553d01ef754","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1cfbdc-05f9-11e8-92cd-0553d01ef754","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:08:40+00:00"},{"identifier":"0e1d29f4-05f9-11e8-b9b0-419c65126d84","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1d29f4-05f9-11e8-b9b0-419c65126d84","fullStatement":"**Example Stem:**\r\n\r\nThe graphs of *y* = *g*(*x*) and *y* = *f*(*x*) are shown.\r\n\r\nUse the \u201cAdd Point\u201d tool to add a point that will satisfy each given condition.\r\n\r\n-   A point on the graph of *g* where *x*=0.\r\n\r\n-   A point on the graph of *g* where *f*(*x*) \\> *g*(*x*).\r\n\r\n-   A point on the graph of *f* where *f*(*x*) = 0.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3_files/image006.jpg)\r\n\r\n**Rubric:**\r\n\r\n(2 points) The student correctly plots points defined by the conditions (e.g., A: The *y*-intercept of *g*; B: Any point on the graph of *g* sitting under the graph of *f*; C: Any of the three points where the graph of *f* crosses the *x*-axis).\r\n\r\n(1 point) The student correctly plots two of the three points defined by the conditions.\r\n\r\n![Graph](https://images.smarterbalanced.org/content/Documents/Item%20Specs/Math_Item_Specs/Claim1_mathematics_HS_specs/HS_1K_Func_Spec_V3_phase3_files/image007.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":["09","10","11","12"],"lastChangeDateTime":"2018-02-09T15:25:13+00:00"},{"identifier":"0e1d6360-05f9-11e8-9acd-b57f8d821632","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1d6360-05f9-11e8-9acd-b57f8d821632","fullStatement":"Graphing items are not currently able to be Brailled. Minimize the number of items developed to this TM.","CFItemType":"Accessibility","CFItemTypeURI":{"title":"Accessibility","identifier":"d19c9ae0-bfe0-11e7-bff4-050398278f5a","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/d19c9ae0-bfe0-11e7-bff4-050398278f5a"},"abbreviatedStatement":"Accessibility Note","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:33:52+00:00"},{"identifier":"0e1d7f94-05f9-11e8-9d11-15f5e231d4b3","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1d7f94-05f9-11e8-9d11-15f5e231d4b3","fullStatement":"None","CFItemType":"Allowable Tools","CFItemTypeURI":{"title":"Allowable Tools","identifier":"3e2514d0-fef2-11e7-817c-13e80b100709","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/3e2514d0-fef2-11e7-817c-13e80b100709"},"abbreviatedStatement":"Allowable Tools","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:08:40+00:00"},{"identifier":"0e1d9b46-05f9-11e8-b554-bd3390718429","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1d9b46-05f9-11e8-b554-bd3390718429","fullStatement":"The student is presented with one or two functions and directed to use the \u201cAdd Point\u201d tool to plot points that lie on those functions. If two functions are used, the item may be worth two points.","CFItemType":"Stimulus","CFItemTypeURI":{"title":"Stimulus","identifier":"1e025133-1d58-4123-9818-22035889162b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/1e025133-1d58-4123-9818-22035889162b"},"abbreviatedStatement":"Stimulus","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:32:46+00:00"},{"identifier":"0e1df848-05f9-11e8-8960-81be20748f7b","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1df848-05f9-11e8-8960-81be20748f7b","fullStatement":"**Prompt Features:** The student recognizes that sequences are functions whose domain is a subset of the integers.\r\n\r\n**Stimulus Guidelines:**\r\n\r\n-   The domain of each function should be a subset of integers.\r\n\r\n-   Difficulty level can be altered by varying the complexity of the sequence.","CFItemType":"Task Description","CFItemTypeURI":{"title":"Task Description","identifier":"b0804d18-bb65-11e7-98c9-83def7a9dccd","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/b0804d18-bb65-11e7-98c9-83def7a9dccd"},"abbreviatedStatement":"Task Description","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:34:22+00:00"},{"identifier":"0e1db856-05f9-11e8-9bb2-0fb37485bacc","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1db856-05f9-11e8-9bb2-0fb37485bacc","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"},"notes":"**Version 3 Update:**\r\nRevised example stem for TM4.","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:35:38+00:00"},{"identifier":"0e1e14ae-05f9-11e8-b939-59016d9e6366","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1e14ae-05f9-11e8-b939-59016d9e6366","fullStatement":"Examples","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Examples","educationLevel":["09","10","11","12"],"lastChangeDateTime":"2018-01-30T20:08:36+00:00"},{"identifier":"0e1e3ba0-05f9-11e8-baf0-a14f57ae6b73","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItems/0e1e3ba0-05f9-11e8-baf0-a14f57ae6b73","fullStatement":"**Example Stem:**\r\n\r\nConsider a sequence whose first five terms are\r\n\r\n6, 12, 24, 48, 96.\r\n\r\nSelect the function, with domain *n* = {1, 2, 3, 4, 5}, that defines this sequence.\r\n\r\nA. $f(n)\\  = \\ 6n$\r\n\r\nB. $\\ f(n)\\  = \\ 6(n - 1)$\r\n\r\nC. $\\ f(n)\\  = \\ 6n^{2}$\r\n\r\nD. $\\ \\ \\ f(n)\\  = \\ 6({2)}^{n - 1}$\r\n\r\n**Rubric:** (1 point) The student correctly identifies the equation of the function defined by the sequence (e.g., D).","CFItemType":"Example","CFItemTypeURI":{"title":"Example","identifier":"c685d17c-bb66-11e7-b6af-3f99116007d0","uri":"https://case.smarterbalanced.org/ims/case/v1p0/CFItemTypes/c685d17c-bb66-11e7-b6af-3f99116007d0"},"abbreviatedStatement":"Example 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