NAEP Items Aligned to
West Virginia’s Next Generation
Content Standards & Objectives
Mathematics • Grade 4
Constructed Response Items • PART 1
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 #16
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 2011 Grade 4 Block M9
#16.
Common Core State Standards and WV Next Generation CSOs alignment for 2011
Grade 4 Block M9 #16 is shown in the table below.
Common Core State Standards
4.NBT.2
WV Next Generation CSOs
M.4.NBT.2
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
2
The person who has the highest score after throwing 9 darts wins the game.
Can Jill win the game?
Yes
No
Can Kevin win the game?
Yes
No
Can Ruth win the game?
Yes
No
Explain how you know which players can win and which players cannot win.
3
Extended Satisfactory
Partial
Minimal
Incorrect
Omitted
Off
Task
West
Virginia
4%
6%
14%
52%
22%
2%
0%
National
Public
6%
6%
13%
51%
21%
3%
0%
Scoring Guide
Extended
First and second parts are correct and the explanation is complete.
Sample Correct Responses:
First part
Answer: 315 points
Second part
Correct ovals: Yes, Yes, No
Specifically,
Yes, Jill can win the game.
Yes, Kevin can win the game.
No, Ruth can't win the game.
Explanation:






Jill's score is 315.
Kevin's final score is between 124 and 324.
Ruth's final score is between 106 and 306.
Jill can win if Kevin and Ruth both have scores less than 315.
Kevin can win if his score is greater than 315.
Ruth cannot win because her highest possible score is 306, which is
less than Jill's score.
Note(s):


A complete explanation includes a description of the process used to
determine who could win (e.g., add 2 more 100's to Kevin and Ruth’s 7dart scores) and either the 7-dart or maximum possible scores.
An acceptable incomplete explanation (acceptable for score 4) would
include a description of the process used to determine who could win
4
(e.g., add 2 more 100’s to Kevin and Ruth’s 7-dart scores), but without the
7-dart or maximum possible scores.
Satisfactory
First and second parts are correct or contain minor errors, such as a computational
error. (If an error causes a change in the answers to who can win the game, results
must be consistent.)
The explanation can be an acceptable incomplete explanation.
Partial
First and second parts are correct or contain minor errors, such as a computational
error. (If an error causes a change in the answers to who can win the game, results
must be consistent.)
The explanation is either missing, or is not sufficient for credit as an incomplete
explanation or is incorrect.
Minimal
Either first or second part is correct
(If an error causes a change in the answers to who can win the game, results must be
consistent.)
Incorrect
Incorrect response
5
Example of Student Response Representing Each Score Category
Extended – Examples of Actual Student Response
Student Response A
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
6
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer Comments:
For the extended response, the computation was correct, a consistent conclusion was
drawn, and a correct explanation was given.
7
Student Response B
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
8
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer Comments:
For the extended response, the computation was correct, a consistent conclusion was
drawn, and a correct explanation was given.
9
Satisfactory – Examples of Actual Student Responses
Student Response A
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
10
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer Comments:
The response is satisfactory because it has a minor computational error, a consistent
conclusion, and an acceptable explanation.
11
Student Response B
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
12
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer Comments:
The response is satisfactory, because it has correct computations, a correct conclusion,
and an incomplete explanation.
13
Partial – Examples of Actual Student Responses
Student Response A
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
14
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer comments:
The response is partially correct, because it has correct computations and a correct
conclusion, but an explanation that is insufficient for credit
15
Student Response B
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
16
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer Comments:
The response is partially correct, because it has correct computations and a correct
conclusion, but is missing an explanation.
17
Minimal – Examples of Actual Student Responses
Student Response A
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
18
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer Comments:
The response is minimally correct, because it has a computational error with an
inconsistent conclusion and a conclusion that is insufficient for credit.
19
Student Response B
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
20
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer Comments:
The response is minimally correct, because it has correct computations with
inconsistent conclusions, and an incorrect explanation.
21
Incorrect – Examples of Actual Student Responses
Student Response A
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
22
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer Comments
The response is incorrect, because it has a computational error, an inconsistent
conclusion, and an incorrect explanation.
23
Student Response B
A dartboard has three separate areas.
Darts that land in the inner circle earn 100 points each.
Darts that land in the middle ring earn 10 points each.
Darts that land in the outer ring earn 1 point each.
24
The person who has the highest score after throwing 9 darts wins the game.
Explain how you know which players can win and which players cannot win.
Scorer Comments:
The response is incorrect, because it has a computational error, an inconsistent
conclusion, and an incorrect explanation.
25
James B. Phares, Ed.D.
State Superintendent of Schools