NAEP Items Aligned to
West Virginia’s Next Generation
Content Standards & Objectives
Mathematics • Grade 4
Constructed Response Items • PART 7
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 M8 #19
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 2011 Grade 4 Block
M8 #19.
Common Core State Standards and WV Next Generation CSOs alignment for 2011
Grade 4 Block M8 #19 is shown in the table below.
Common Core State Standards
3.OA.8
WV Next Generation CSOs
M.3.OA.8
An amusement park has games, rides, and shows.
•
•
•
The total number of games, rides, and shows is 70.
There are 34 rides.
There are two times as many games as shows.
How many games are there? ______________________
How many shows are there? ______________________
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
2
Extended
Satisfactory
Partial
Minimal
Incorrect
Omitted
(Skipped)
Off
Task
West
Virginia
3%
3%
3%
23%
58%
8%
1%
National
Public
5%
2%
3%
26%
53%
11%
1%
Scoring Guide
Extended
24 games and 12 shows with correct explanation or work
Sample Correct Response:
70-34=36 so there are 36 shows and games.
The number of games is twice the number of shows; there must be 24 games
and 12 shows.
Satisfactory
Has subtraction error but has games and shows in correct ratio (2:1)
OR
Has 12 games and 24 shows with work
OR
Has 24 games and 12 shows with no work
Partial
Finds 36, and has ratio of 2 to 1 (but not 24 to 12) and sum of games and shows is less
than 36
OR
Has 36 games and 18 shows with or without work
OR
Has 72 games and 36 shows with or without work
OR
Shows a process that reflects understanding of the question, but does not find the
correct ratio
Minimal
Finds 36 by subtraction or adding on to 34 to get 70
OR
Number of games plus number of shows is 36
OR
Has games and shows in a two to one ratio but nothing else correct
Incorrect
Incorrect response
3
Examples of Actual Student Responses Representing Each Score Category
Extended – Examples of Actual Student Responses
Student Response A
An amusement park has games, rides, and shows.
• The total number of games, rides, and shows is 70.
• There are 34 rides.
• There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
The extended response provides correct numerical answers for both parts and give
correct explanation showing how the answers were obtained.
4
Student Response B
An amusement park has games, rides, and shows.
• The total number of games, rides, and shows is 70.
• There are 34 rides.
• There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
This extended response provides correct numerical answers for both parts and give
correct explanation showing how the answers were obtained.
5
Satisfactory – Examples of Actual Student Responses
Student Response A
An amusement park has games, rides, and shows.



The total number of games, rides, and shows is 70.
There are 34 rides.
There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
This response is scored as satisfactory, because the correct numerical answers were
provided but no explanation was given for the answers.
6
Student Response B
An amusement park has games, rides, and shows.
•
•
•
The total number of games, rides, and shows is 70.
There are 34 rides.
There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
This response is scored as satisfactory because a correct procedure was used to arrive
at the correct numerical responses, but the numbers were attributed to the wrong
categories.
7
Partial – Examples of Actual Student Response
Student Response A
An amusement park has games, rides, and shows.
• The total number of games, rides, and shows is 70.
• There are 34 rides.
• There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
This response is partially correct, because it correctly indicates that there are 36 games
and shows and the numerical answers are in the correct ratio, but they do not add to 36.
8
Student Response B
An amusement park has games, rides, and shows.
• The total number of games, rides, and shows is 70.
• There are 34 rides.
• There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
This response is partially correct, because has 72 games and 36 shows with work
shown.
9
Minimal – Examples of Student Responses
Student Response A
An amusement park has games, rides, and shows.
• The total number of games, rides, and shows is 70.
• There are 34 rides.
• There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
This response is minimally correct. Because it correctly indicates that there are 36
games and shows, but the numerical answers are not in the ratio of 2 to 1.
10
Student Response B
An amusement park has games, rides, and shows.
• The total number of games, rides, and shows is 70.
• There are 34 rides.
• There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
This response is minimally correct, because it correctly gives numerical answers in the
ratio of 2 to 1, but that do not add to 36.
11
Incorrect – Examples of Student Respones
Student Response A
An amusement park has games, rides, and shows.
• The total number of games, rides, and shows is 70.
• There are 34 rides.
• There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
This response is incorrect. The numerical answers do not add to 36 and they are not in
the ratio of 2 to 1. The explanations provided do not demonstrate understanding of the
question.
12
Student Response B
An amusement park has games, rides, and shows.
• The total number of games, rides, and shows is 70.
• There are 34 rides.
• There are two times as many games as shows.
Use numbers, words, or drawings to show how you got your answer.
If you need more room for your work, use the space below.
Scorer Comments:
This response is incorrect. The numerical answers do not add to 36 and they are not in
the ratio of 2 to 1. The explanations provided do not demonstrate understanding of the
question.
13
James B. Phares, Ed.D.
State Superintendent of Schools