Grade 4 math alaska 07 answers (detailed)

COMPREHENSIVE SYSTEM OF STUDENT ASSESSMENT
STANDARDS BASED ASSESSMENTS (SBA)
Mathematics Practice Test Scoring Guide
Grade 4

Alaska Department of Education & Early Development


Mathematics Practice Test Scoring Guide
with Answer Keys, Scoring Guidelines, and Sample Papers
General Introduction
The Alaska Department of Education and Early Development (EED), in cooperation with Data Recognition
Corporation, designed and produced the Alaska Practice Test to support students in doing their best on the Alaska
Comprehensive System of Student Assessment, Standards Based Assessments in grades 3 through 9. A scoring
guide, with answer keys, scoring guidelines, sample student papers, and a test map, provides the teacher with
information and tools to score each practice test.

Content
A Practice Test Scoring Guide for each grade level and subject area is posted on the EED Website
( To access this website, follow these instructions.
Directions to access the AK EED Website
1. Type or copy and paste the link to the Alaska EED Website into your browser.
/>2. Select Standards Based Assessments.
3. Select Item Samplers / Practice Tests.
4. Select the grade-level assessment (or other document) you wish to download.
5. At this point you may save the file to your computer or print the file directly from the website. Printing from the
website can be very time consuming. It is likely you will want to save the file(s) to your computer, then print.
This guide is divided into two sections. Section I includes the answer keys and scoring guidelines (with detailed
item-specific scoring rubrics for scoring short and extended constructed-response questions), and sample student
papers with annotations for each score point. Section II presents a grade-level test map that lists item sequence,
corresponding Grade Level Expectation, and an answer key.

Purpose
The passages, stimuli, prompts, graphs, charts, and items included for each content-area practice test were created
for use in Alaska classrooms. These materials may be copied and used as part of a local instructional program.*
Alaska educators may use the reading, writing, and mathematics practice tests, the Practice Test Administration
Directions, and the Practice Test Scoring Guides to support daily instruction in the classroom and to prepare their
students for the operational standards based assessments.

Important: The practice tests were developed for usability purposes only, and in no way should the tests or
scores students receive be considered a predictor of a student’s ability to perform on the operational Standards
Based Assessments. Passages, prompts, stimuli, and items provide samples of what students will see on the
operational tests. Items are not necessarily the same in terms of measurement, rigor, or the length of time it
takes a student to respond.

*The permission to copy and/or use these materials does not extend to commercial purposes.

Mathematics Practice Test Scoring Guide: Grade 4

2


Item Format
The mathematics practice test includes two types of mathematics items: multiple choice and constructed
response. Practice test multiple-choice items have four answer options. The correct response to each
multiple-choice item is worth one point.
Two types of constructed-response items are presented in the mathematics practice test: short
constructed response (SCR) are 2-point items; extended constructed response (ECR) are 4-point items.
Item-specific scoring guidelines and examples of responses for each score point are presented with each
constructed-response item.
Measurement items are not included in the mathematics practice test because teachers will

download the practice tests from the Alaska Education and Early Development Website
( and print them on local computers. When printing occurs
using local computers, measurement items (that require a ruler) may be scaled differently from the
actual figure that appears on the PDF, and true measurement cannot be achieved. Teachers are
encouraged, however, to include measurement items on their regular classroom tests.

Scoring Guidelines
Following the multiple-choice answer key are general scoring rubrics for 2-point and 4-point constructedresponse items. The general scoring rubric includes item-specific guidelines to assist the teacher with
scoring constructed-response items.
Sample student papers are included for each short and extended constructed-response score point. An
item-specific annotation follows each sample student response. The annotations are designed to provide
the teacher with the explanation of why the score point was awarded.

Test Maps
The test map presents the sequence of the items, the Grade Level Expectation to which each item is
aligned, and the answer key. This at-a-glance chart is designed to assist the teacher with scoring the
practice test.

3

Mathematics Practice Test Scoring Guide: Grade 4


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
1.
2.
3.
4.
5.

D
C
B
A
A

This problem is worth 2 points.
6.

Bill has 10 crayons.

There are 2 blue crayons.
A.

What fraction of the crayons is blue?
Answer:

B.

1

Bill will give }2 of his crayons to Jenny.
1

In the picture above, draw a ring around }2 of the crayons.

Mathematics Practice Test Scoring Guide: Grade 4

4

SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
6.

Short Constructed Response
Score

Rubric

2

2 of 2 parts correct

1

1 of 2 parts correct
OR
Some correct and relevant work or explanation

0

Response is totally incorrect or irrelevant

1 point for correct answer in part A.
1 point for correct answer in part B.
Problem Solution:
1
2

}
}
10 OR 5
AND
5 crayons should be circled

5

Mathematics Practice Test Scoring Guide: Grade 4


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #6

Response Score: 2

Short Constructed Response:

Answer:
Annotation for score point: 2
All parts are correct:
1. Correct answer of 2/10 or 1/5 is provided.
2. Correct ring is drawn that demonstrates conceptual understanding of
fractions by illustrating parts of a set.

Mathematics Practice Test Scoring Guide: Grade 4

6

SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #6

Response Score: 1

Short Constructed Response:

Answer:
Annotation for score point: 1
Some part is correct:
1. Incorrect answer of 1/4 is provided.
2. Correct drawing of ring is provided.

7

Mathematics Practice Test Scoring Guide: Grade 4


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #6

Response Score: 0

Short Constructed Response:

Answer:
Annotation for score point: 0

No part is correct:
1. Incorrect answer of 1/10 is provided.
2. Incorrect drawing of ring is provided.

Mathematics Practice Test Scoring Guide: Grade 4

8


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
7.
8.
9.
10.
11.

C
C
D
A
B

This problem is worth 4 points.
12. There are 23 students in Mr. Castillo’s class. For an art project, each student needs
3 pinecones and 9 wooden sticks.
A.

How many pinecones do 23 students need? Show all of your work and write your
answer in the box below.

Answer:
B.

pinecones

How many wooden sticks do 23 students need? Show all of your work and write your
answer in the box below.

Answer:

wooden sticks

9

Mathematics Practice Test Scoring Guide: Grade 4


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
12.

Extended Constructed Response
Score

Rubric

4

4 of 4 parts correct

3

3 of 4 parts correct

2

2 of 4 parts correct

1

1 of 4 parts correct
OR
Some correct and relevant work or explanation

0

Response is totally incorrect or irrelevant

1 point for all correct work (procedure) shown in part A
1 point for correct answer in part A
1 point for all correct work (procedure) shown in part B
1 point for correct answer in part B
Note: 1 point deduction for students who got pinecones and wooden sticks reversed.
Problem Solution:
A.

23 × 3 OR 23 + 23 +23 OR equivalent (may see interim total of 46 or may even
see students use graphics and counting)
AND

69 (pinecones)

B.

23 × 9 OR 23 + 23 + 23 + 23 + 23 + 23 + 23 + 23 + 23 OR equivalent (may see
graphics and counting)
AND
207 (wooden sticks)

Mathematics Practice Test Scoring Guide: Grade 4

10


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #12

Response Score: 4

Extended Constructed Response:
Part A.

Answer:

pinecones

Answer:

wooden sticks

Part B.

Annotation for score point: 4
All parts are correct:
1. Correct answer of 69 with all work shown is provided in Part A.
2. Correct answer of 207 with all work shown is provided in Part B.
(Student demonstrates full understanding of multiplying two-digit numbers by singledigit numbers.)

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Mathematics Practice Test Scoring Guide: Grade 4


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #12

Response Score: 3

Extended Constructed Response:
Part A.

Answer:

pinecones

Answer:

wooden sticks

Part B.

Annotation for score point: 3
Most parts are correct:
1. Correct answer of 69 with all work shown is provided in Part A.
2. Correct answer of 207 is provided in Part B, but all work is not correctly or clearly
shown. (9 × 20 = 180, but not 9 × 23 and 180 + 27 = 207, but not 18 + 27)

Mathematics Practice Test Scoring Guide: Grade 4

12


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #12

Response Score: 2

Extended Constructed Response:
Part A.

Answer:

pinecones

Answer:

wooden sticks

Part B.

Annotation for score point: 2
Some parts are correct:
1. Correct answer of 69 with all work shown (counted by 3’s) is provided in Part A.
2. Incorrect answer of 23 with incorrect work shown is provided in Part B. (Student did
not use the 9 as input into the problem.)

13

Mathematics Practice Test Scoring Guide: Grade 4


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #12

Response Score: 1

Extended Constructed Response:
Part A.

Answer:

pinecones

Answer:

wooden sticks

Part B.

Annotation for score point: 1
Some part is correct:
1. Correct answer of 69 with no supporting work shown (only given information is
repeated) is provided in Part A.
2. Incorrect answer of 26 with no correct work shown (repeats some of given information)
is provided in Part B.

Mathematics Practice Test Scoring Guide: Grade 4

14


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #12

Response Score: 0

Extended Constructed Response:
Part A.

Answer:

pinecones

Answer:

wooden sticks

Part B.

Annotation for score point: 0
No parts are correct:
1. Incorrect answer of 14 with no correct work shown in Part A.
2. Incorrect answer of 20 with no work at all shown in Part B.

15

Mathematics Practice Test Scoring Guide: Grade 4


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
13.
14.
15.
16.
17.

A
D
D
C
B

This problem is worth 2 points.
18. The pencil below measures 4 inches.

4 inches
How many pencils would need to be lined up to equal 1 foot? Show all of your work and
write your answer in the box below.

Answer:

Mathematics Practice Test Scoring Guide: Grade 4

pencils

16


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
18.

Short Constructed Response
Score

Rubric

2

2 of 2 parts correct

1

1 of 2 parts correct

OR
Some correct and relevant work or explanation

0

Response is totally incorrect or irrelevant

1 point for correct answer
1 point for all correct work (procedure) shown
Note: Okay for some work to appear on graphic and not just “in the box below.”
Problem Solution:
3 (pencils)
AND
12
}
4 OR 4q12 OR 12 ÷ 4 OR each pencil is 4 inches and 4 × 3 = 12
inches which equals 1 foot OR 4 + 4 + 4 = 12 OR equivalent

17

Mathematics Practice Test Scoring Guide: Grade 4


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #18

Response Score: 2

Short Constructed Response:

Answer:

pencils

Annotation for score point: 2
All parts are correct:
1. Correct answer of 3 is provided.
2. All work is shown.

Mathematics Practice Test Scoring Guide: Grade 4

18


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #18

Response Score: 1

Short Constructed Response:

Answer:

pencils
Annotation for score point: 1
Some part is correct:
1. Correct answer of 3 is provided.
2. All work is not shown (support is incomplete as student does

not show addition to 12 [inches in a foot]. The inputs (4’s)
are shown, but not the operation of addition to get to 12).

19

Mathematics Practice Test Scoring Guide: Grade 4


SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
Item #18

Response Score: 0

Short Constructed Response:

pencils

Answer:

Annotation for score point: 0
No part is correct:
1. Incorrect answer of 6 is provided.
2. Incorrect work is shown. (Student repeats given six times for
no discernible mathematical reason. Student may think there
are 24 inches a foot, but even that is not shown or explained.)

Mathematics Practice Test Scoring Guide: Grade 4

20

SECTION I: Grade 4 Mathematics Practice Test Answer Keys,
Scoring Guidelines, and Sample Student Papers
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.

D
A
C
A
B
A
C
D
C
B
C
B

D

21

Mathematics Practice Test Scoring Guide: Grade 4


Mathematics Practice Test Scoring Guide: Grade 4

22


SECTION II: Grade 4 Mathematics Test Map

MATHEMATICS
Sequence

GLE

Key

1

N-8

D

2

F&R-1

C

3

E&C-1

B

4

G-3

A

5

S&P-1

A

6

N-4

Short Constructed Response

7

S&P-3

C

8

S&P-5

C

9

E&C-5

D

10

F&R-4

A

11

G-4

B

12

E&C-4

Extended Constructed Response

13

MEA-6

A

14

F&R-1

D

15

N-4

D

16

MEA-8

C

17

G-5

B

18

MEA-3

Short Constructed Response

19

N-2

D

20

F&R-4

A

21

S&P-2

C

22

G-1

A

23

N-7

B

24

E&C-3

A

25

MEA-4

C

26

E&C-4

D

27

S&P-4

C

28

MEA-3

B

29

N-3

C

30

F&R-1

B

31

G-6

D

23

Mathematics Practice Test Scoring Guide: Grade 4

Mathematics Practice Test Scoring Guide
Grade 4

Copyright © 2007 by Alaska Department of Education & Early
Development. The materials contained in this publication may be
duplicated by Alaska educators for local classroom use. This permission
does not extend to the duplication of materials for commercial use.