Grade 4 math arkansas 09 + answers

PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4
CALCULATOR NOT PERMITTED—ITEMS 1–4

1

2
Dr. Lopez conducted 151
experiments on salt water. Dr. Kelley
conducted 93 experiments on
rainwater.

How many blocks were used to
build the structure below?

What is the difference between
the number of experiments
that Dr. Lopez and Dr. Kelley
conducted?

≥A
B
C
D

58
68
158
244
A

B

≥C

D

Page 2

3
6
18
21


PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4

3
Four students each drew one of the figures below.
A.J.’s Figure

Caria’s Figure

Juanita’s Figure

Samir’s Figure

Which student’s figure represents the drawing of a line segment?
A

B
C

≥D

A.J.’s Figure
Caria’s Figure
Juanita’s Figure
Samir’s Figure

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PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4

4
Tek drew the figure below on a white board. He asked Raul to identify the figure.

Which of these best describes the name of the figure Tek drew?
A
B
C

≥D

Regular hexagon
Irregular hexagon
Regular octagon

Irregular octagon

Page 4


PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4
CALCULATOR PERMITTED—ITEMS 5–10 and A–B

5

6
A cafeteria has 6 large tables. Exactly
12 students can sit at each table.

Hallie is decorating her bedroom.
Her mom gave her the wall color,
curtain, and bedspread choices
shown.

Number of
Tables

Total Number
of Students

1

12

2

24

Blue

Spotted

Flowers

3

36

Green

Striped

Plain

4

?

Yellow

Checkered

5

?

6

?

Wall Color

B

≥C

D

Bedspread

What is the total number of
combinations of 1 wall color,
1 curtain, and 1 bedspread that
are possible?

If all 6 tables are full, what is
the total number of students
who could be sitting at the
tables?
A

Curtain

A
B
C

24
62
72
84

≥D

Page 5

6
8
12
18


PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4

7
David used blocks to build the model of a building in his community, as shown below.

Which building does David’s model represent?

≥

A

C

B

D

Page 6


PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4

8
The line plot below shows the students’ scores on last week’s spelling test.

X
1

2

3

4

X
X
X

X
X
X
X

5
6
Quiz Score

X
X
X
X
X

X
X
X

X
X
X

X
X

7

8

9

10

X = 10 students
How many more students scored a 6 or more, compared to those who scored a 5
or less?
A
B

≥C

D

210
170
130
40

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PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4

9
The thermometer below shows a cold January temperature in Arkansas.
°F

40

30

20

10

Which is closest to the temperature shown?
A

≥B
C

D

30 °F
31 °F
32 °F
35 °F

Page 8


PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4

10
Yuri and Olga are performing a science experiment, and they need to determine the

capacity of a fish tank. Which of these tools should they use to find the capacity of
the fish tank?

A

1

2

3

inches

B

C

11 0 1
2
10
9 Ounces 3
4
8
7 6 5

30
20
10
0

40 50 60

–10
–20

TH E

°F
R MOM

70
80
90
100

110
120

ET E R

8 ounces

≥

D

Page 9

4

5

6


PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4
MATHEMATICS OPEN-RESPONSE ITEM A

A
The graph below shows the number of trees 4 friends counted.

Trees in Yard
Donyell
Eric
Hannah
Rianna
0

1

2

3

4

5

6

7

8

9

Number

1. Which friend counted the greatest number of trees? Which friend counted the least
number of trees?
2. Which friend counted exactly twice the number of trees as one of the other friends?
Explain your answer using words, numbers, and/or pictures.
BE SURE TO LABEL YOUR RESPONSES 1 AND 2.

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM A
SCORE

DESCRIPTION

4

The student earns 4 points. The response contains no incorrect work.

3

The student earns 3 points.

2

The student earns 2 points.

1

The student earns 1 point, or some minimal understanding shown.

0

The student earns 0 points. No understanding is shown.

B

Blank—No Response. A score of “B” will be reported as “NA.” (No attempt to answer the item. Score of “0” assigned for the item.)

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PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4
Solution and Scoring

Part
1

Points
2 Points Possible
1 point:
AND

1 point:

2

Correct answer:
Rianna
Correct answer:
Eric
(Rianna and Eric must be listed in correct order.)

2 Points Possible
1 point:
AND
1 point:

Correct answer:
Donyell counted exactly twice as many trees as Hannah.
Correct and complete procedure shown and/or explained
Give credit for the following or equivalent:
3 x 2 = 6, 3 + 3 = 6, 6 – 3 = 3,
6 ÷ 2 = 3 or 6 ÷ 3 = 2

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PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4
MATHEMATICS OPEN-RESPONSE ITEM B

B
Mario has 12 trees to plant in his yard. He is trying to decide how to arrange the trees in
rows before he plants them.
1. What is one way Mario can arrange the 12 trees in rows with an equal number of
trees in each row? Explain your answer using words, numbers, and/or pictures.
2. What is another way Mario can arrange the 12 trees with an equal number of trees
in each row? Explain your answer using words, numbers, and/or pictures.
BE SURE TO LABEL YOUR RESPONSES 1 AND 2.

RUBRIC FOR MATHEMATICS OPEN-RESPONSE ITEM B
SCORE

DESCRIPTION

4

The student earns 4 points. The response contains no incorrect work. (Correct labels are required.)

3

The student earns 3 points.

2

The student earns 2 points.

1

The student earns 1 point, or some minimal understanding shown.

0

The student earns 0 points. No understanding is shown.

B

Blank—No Response. A score of “B” will be reported as “NA.” (No attempt to answer the item. Score of “0” assigned for the item.)

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PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4
Solution and Scoring

Part
1

Points
2 Points Possible
1 point:

Correct answer:
Answers must be expressed in terms of either rows or trees
in a row.
Number of rows:
(1, 2, 3, 4, 6 or 12) rows
OR
Number of trees in a row:

(1, 2, 3, 4, 6 or 12) in each row (or equivalent)
OR
Diagram representing the identified arrangement

AND
1 point:

2

Correct and complete explanation shown and/or explained
Give credit for the following or equivalent:
• 12 Ϭ 1 = 12
• 12 Ϭ 2 = 6
• 12 Ϭ 3 = 4
• 12 Ϭ 4 = 3
• 12 Ϭ 6 = 2
• 12 Ϭ 12 = 1
OR
Any equivalent equation(s) utilizing other algebraic functions
OR
Diagram representing the identified arrangement

2 Points Possible
1 point:

Correct answer:
Answer must be a different arrangement from Part 1.
Answers must be expressed in terms of either rows or trees
in a row.
Number of rows:

(1, 2, 3, 4, 6 or 12) rows
OR
Number of trees in a row:
(1, 2, 3, 4, 6 or 12) in each row (or equivalent)
OR
Diagram representing the identified arrangement

Page 13


PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4

AND
1 point:

Correct and complete explanation shown and/or explained
Give credit for the following or equivalent:
• 12 Ϭ 1 = 12
• 12 Ϭ 2 = 6
• 12 Ϭ 3 = 4
• 12 Ϭ 4 = 3
• 12 Ϭ 6 = 2
• 12 Ϭ 12 = 1
OR
Any equivalent equation(s) utilizing other algebraic functions
OR
Diagram representing the identified arrangement

Page 14


PART II

Released Mathematics Items—2009 Augmented Benchmark Grade 4

Mathematics Reference Sheet
Grade 4
Use the information below, as needed, to answer questions on the Mathematics test.

1 foot = 12 inches

1 cup = 8 ounces (oz)

1 kilogram = 1000 grams

1 yard = 3 feet

1 pint = 2 cups

1 liter = 1000 milliliters

1 quart = 2 pints
1 gallon = 4 quarts
1 pound (lb) = 16 ounces (oz)

Page 15