NAEP Items Aligned to West Virginia’s Next Generation Content Standards & Objectives Mathematics • Grade 4 Constructed Response Items • PART 11 NAEP WEST VIRGINIA NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS nextgeneration west virginia content standards & objectives West Virginia Board of Education 2013-2014 Gayle C. Manchin, President Michael I. Green, Vice President Robert W. Dunlevy, Secretary Thomas W. Campbell, Member Tina H. Combs, Member Lloyd G. Jackson II, Member L. Wade Linger Jr., Member William M. White, Member Paul L. Hill, Ex Officio Chancellor West Virginia Higher Education Policy Commission James L. Skidmore, Ex Officio Chancellor West Virginia Council for Community and Technical College Education James B. Phares, Ex Officio State Superintendent of Schools West Virginia Department of Education User Guide This document contains released items from past NAEP assessments which have been aligned to the Common Core State Standards. Please note: the items do not always align to a Common Core State Standard in the same grade as assessed. Each item can be found online using the NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). The NAEP Questions Tool allows items to be downloaded in Microsoft Word. To assist in locating each item online, the following information has been provided for each item: NAEP assessment year Assessed grade Block code Question number Each item includes the following information: NAEP Questions Tool search parameter Common Core State Standards and West Virginia Next Generation CSO alignment Text of item Performance data for public school students in West Virginia and the nation, including the percentage of students in each score category. Suggested uses for information: Review items in context of instruction provided. Determine if instruction is reaching the depth of knowledge necessary. Analyze sample student responses for each score category to determine: o Why each response was placed in the score category. o How students could edit answer to score in the highest score category. Use items with students, for example, as “bell ringers” or assessment items. Develop items of similar rigor to use with students during instruction or as assessment tools. 1 NAEP 2009 Grade 4 Block M10 #13 Additional questions and more information about this question can be found on the NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx/landing.aspx). In the NAEP Questions Tool search, this mathematics question is from 2009 Grade 4 Block M10 #13. Common Core State Standards and WV Next Generation CSOs alignment for 2009 Grade 4 Block M10 #13 is shown in the table below. Common Core State Standards 4.OA.5 WV Next Generation CSOs M.4.OA.5 A pattern of dots is shown above. How many dots would be in the 6th picture? Answer: ________________ Explain how you found your answer. Correct Partial 2 Partial 1 Incorrect Omitted (Skipped) Off Task West Virginia 13% 8% 28% 50% 1% 0% National Public 15% 7% 34% 43% 1% 0% 2 Scoring Guide Correct Correct response: 21 dots with a correct explanation. There are two types of correct explanations. First type: The geometric explanation. For this, the student has presented correct drawings for the 5th and 6th pictures, the numbers 15 and 21, and a correct supporting explanation. Second type: The numerical explanation. For this, the student has not presented any drawings for the 5th and 6th pictures, but does have the correct numbers (15 and 21) with a correct supporting explanation like "It goes +2 + 3 + 4 + 5 + 6." Partial 2 Partially correct response 21 dots with no explanation, a partially correct explanation, or a partially complete explanation. Examples of partially correct or partially complete explanations include the following: You add one more dot to the bottom. You add 1 each time. It increased by 1 each time. I counted the numbers in order. Partial 1 Partially correct response Does not get 21 but has a correct explanation. Examples of correct explanations include the following: Because the bottom keeps changing to the next number It goes + 2 + 3 + 4 + 5 + 6. Incorrect Incorrect response 3 Examples of Student Responses Representing Each Score Categories Correct – Examples of Actual Student Responses Student Response A A pattern of dots is shown above. How many dots would be in the 6th picture? Answer: ________________ Explain how you found your answer. Scorer Comments: The response had the correct answer, the correct drawings for the 5th and 6th picture, and a correct explanation. 4 Student Response B A pattern of dots is shown above. How many dots would be in the 6th picture? Answer: ________________ Explain how you found your answer. Scorer Comments: The response had the correct answer, the correct drawings for the 5th and 6th picture, and a correct explanation. 5 Partial 2 – Example of Actual Student Response Student Response A A pattern of dots is shown above. How many dots would be in the 6th picture? Answer: ________________ Explain how you found your answer. Scorer Comments: The responses had the correct answer and the correct number of dots on the answer line but only a partial explanation. 6 Student Response B A pattern of dots is shown above. How many dots would be in the 6th picture? Answer: ________________ Explain how you found your answer. Scorer Comments: These responses had the correct answer and the correct number of dots on the answer line but no explanation at all. 7 Partial 1 – Example of Actual Student Responses Student Response A A pattern of dots is shown above. How many dots would be in the 6th picture? Answer: ________________ Explain how you found your answer. Scorer Comments: The response did not get 21 for the answer but had the correct numbers for the 5th and 6th picture. The explanation was partially correct. 8 Student Response B A pattern of dots is shown above. How many dots would be in the 6th picture? Answer: ________________ Explain how you found your answer. Scorer Comments: The response did not get 21 for the answer but had the correct numbers for the 5th and 6th picture. The explanation was partially correct. 9 Incorrect – Examples of Actual Student Responses Student Response A A pattern of dots is shown above. How many dots would be in the 6th picture? Answer: ________________ Explain how you found your answer. Scorer Comments: These responses had an incorrect answer and an incorrect explanation. Student Response B A pattern of dots is shown above. How many dots would be in the 6th picture? Answer: ________________ Explain how you found your answer. Scorer Comments: These responses had an incorrect answer and an incorrect explanation. 10 James B. Phares, Ed.D. State Superintendent of Schools