NAEP Items Aligned to West Virginia’s Next Generation Content Standards & Objectives Mathematics • Grade 4 Constructed Response Items • PART 8 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 2011 Grade 4 Block M9 #12 Additional questions and more information about this question can be found on the NAEP Questions Tool (http://nces.ed.gov/nationsreportcard/itmrlsx.aspx). In the NAEP Questions Tool search, this mathematics question is 2011 Grade 4 Block M9 #12. Common Core State Standards and WV Next Generation CSOs alignment for 2011 Grade 4 Block M9 #12 is shown in the table below. Common Core State Standards 5.NBT.6 WV Next Generation CSOs M.5.NBT.6 Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Gloria’s Edward’s Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. West Virginia National Public Correct Partial 1 Partial 2 Partial 3 11% 0% 1% 14% 25% 49% 0% 0% 14% 0% 2% 13% 25% 45% 1% 0% 2 Incorrect Incorrect Omitted 1 2 (Skipped) Off Task Scoring Guide Sample Correct Responses: Correct Correct oval filled in and acceptable explanation Sample Correct Response: Correct oval: Edward's Explanation: Dividing by a smaller number gives a greater answer. OR Dividing by a larger number gives a smaller answer. OR A smaller number goes into another number more times. Partial 1 No oval filled in but acceptable explanation given Partial 2 Correct oval filled in but explanation only consists of one or more examples without generalizing Partial 3 Correct oval filled in with incomplete or partially correct explanation Incorrect 1 Correct oval filled in with incorrect explanation, no explanation, or no example Incorrect 2 Other incorrect responses 3 Examples of Student Responses Representing Each Score Category Correct – Example of Actual Student Responses Student Response A Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: The answer is correct. The correct oval is selected and an acceptable explanation is given. 4 Student Response B Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: The answer is correct. The correct oval is selected and an acceptable explanation is given. 5 Partial 1 – Examples of Actual Student Responses Student Response A Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: This response is partially correct, as neither oval is selected, but an explanation supporting the correct oval is supplied. 6 Partial 2 – Examples of Student Responses Student Response A Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: The response is partially correct. The correct oval was selected and examples were given, but there was no generalization concluding that division by a smaller number yields a larger answer. 7 Student Response B Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: The response is partially correct. The correct oval was selected and examples were given, but there was no generalization concluding that division by a smaller number yields a larger answer. 8 Partial 3 – Examples of Actual Student Responses Student Response A Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: The response is partially correct. The correct oval is selected and an incomplete explanation is given. 9 Student Response B Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: The response is partially correct. The correct oval is selected and an incomplete explanation is given. 10 Incorrect 1 – Examples of Actual Student Responses Student Response A Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: The response is incorrect. The correct oval filled in; however, an incorrect explanation is given. 11 Student Response B Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: The response is incorrect. The correct oval filled in: however, there is no explanation given in the second response. 12 Incorrect 2 – Examples of Actual Student Responses Student Response A Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: The incorrect oval is filled in and the explanation is incorrect. 13 Student Response B Mr. Jones picked a number greater than 100. He told Gloria to divide the number by 18. He told Edward to divide the number by 15. Whose answer is greater? Gloria’s Edward’s Explain how you know this person’s answer will always be greater for any number that Mr. Jones picks. Scorer Comments: Neither of the two ovals is filled in and the explanation given is insufficient. 14 James B. Phares, Ed.D. State Superintendent of Schools