NAEP Items Aligned to
West Virginia’s Next Generation
Content Standards & Objectives
Mathematics • Grade 8
Constructed Response Items • PART 5
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:
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NAEP assessment year
Assessed grade
Block code
Question number
Each item includes the following information:
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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:
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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.
NAEP 2007 Grade 8 Block M7 #14
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 2007 Grade 8
Block M7 #14.
Common Core State Standards and WV Next Generations CSOs alignment for 2007
Grade 8 M7 #14 is shown in the table below.
Common Core State Standards
8.F.B.4
WV Next Generation CSOs
M.8.F.4
Each figure in the pattern below is made of hexagons that measure 1 centimeter on
each side.
Show how you found your answer.
If the pattern of adding one hexagon to each figure is continued, what will be the
perimeter of the 25th figure in the pattern?
Did you use the calculator on this question?
1
Correct
Partial 2
Partial 1
Incorrect
Omitted
(Skipped)
Off Task
West
Virginia
10%
16%
4%
65%
5%
0%
National
Public
17%
18%
5%
54%
5%
1%
Scoring Guide
Correct
Correct response
Sample Correct Responses:
102
Start with 6 and add 4 a total of 24 times: 6 + 4 (24) = 102
OR 25 (4) + 2 = 102
OR 6(25) - 2(24) = 102
OR 18 + 4(21) = 102
OR 4(23) + 2(5) = 102
OR
Draws figure with 25 hexagons and count number of sides
Partial 2
102 with no work, partially correct work, or incomplete work (partially correct or
incomplete work should support the answer of 102)
Partial 1
Does not get 102, but has demonstrated a correct or partially correct process
Incorrect
Incorrect response
2
Examples of Student Responses Representing Each Score Category
Correct – Example of Actual Student Response
Each figure in the pattern below is made of hexagons that measure 1 centimeter on
each side.
Show how you found your answer.
If the pattern of adding one hexagon to each figure is continued, what will be the
perimeter of the 25th figure in the pattern?
Scorer Comments:
This response gave the correct answer of 102 centimeters, with a complete and correct
explanation of the process used to obtain the answer.
3
Partial 2 – Example of Actual Student Response
Each figure in the pattern below is made of hexagons that measure 1 centimeter on
each side.
Show how you found your answer.
If the pattern of adding one hexagon to each figure is continued, what will be the
perimeter of the 25th figure in the pattern?
Scorer Comments:
This response gave the correct answer of 102 centimeters, and although the
explanation was correct, it was incomplete because it did not specify how many times to
add 4.
4
Partial 1 – Example of Actual Student Response
Each figure in the pattern below is made of hexagons that measure 1 centimeter on
each side.
Show how you found your answer.
If the pattern of adding one hexagon to each figure is continued, what will be the
perimeter of the 25th figure in the pattern?
Scorer Comments:
This response received partial credit for showing a partially correct process for obtaining
the perimeter of the 25th figure in the pattern. This was a common response that
accounted for the four centimeters contributed to the perimeter of the figure by each of
the interior hexagons, but it did not account for the additional centimeter contributed by
each of the hexagons at the ends of the figure.
5
Incorrect – Example of Actual Student Response
Each figure in the pattern below is made of hexagons that measure 1 centimeter on
each side.
Show how you found your answer.
If the pattern of adding one hexagon to each figure is continued, what will be the
perimeter of the 25th figure in the pattern?
Scorer Comments:
This common incorrect response did not account for the interior edges of adjacent
hexagon, which were not part of the perimeter of the figures, instead including all 6
edges from each hexagon in the computation.
6
James B. Phares, Ed.D.
State Superintendent of Schools