Deer Valley Unified School District
Name __________________________
5th
Date _________________________
Grade Math
Unit 1 Post-Assessment: Understanding Volume
RUBRIC for “WRITING TO EXPLAIN” Questions:
3 points
Student shows a clear
understanding of concept
by using written
explanation and/or visual
models to solve the
problem correctly.
2 points
Student shows some
understanding of concept by
using written explanation
and/or visual models to
solve the problem.
(minor error in
understanding)
1 point
Student shows little
understanding of concept.
Student may have correct
answer, but no evidence of
understanding, or incorrect
answer but little evidence
of understanding is
present.
0 points
Student writes incorrect answer and
shows no evidence of understanding.
ALL ANSWERS MUST ATTEND TO PRECISION AND BE LABELED CORRECTLY.
*1.
*2.
What is the volume of the shape in cubic units?
What is the volume of the shape in cubic inches?
3.
4.
What is the total volume of this composite figure?
SELECT ALL of the following statements which are
true.
A. The area of the base layer is 10 units²
B. The area of the base layer is 5 units²
C. The height of the figure is 4 units.
D. The figure has a volume of 20 units³
E. The figure has a volume of 38 units ³
F. The figure has a volume of 40 units³
*5.
*6.
When completed, the design of this shape has a
height of 9 units and forms a rectangular prism. What
is the volume of the prism?
4 in.
What is the area of the base of the prism?
How many more layers would you need to fill this
prism?
7. The base layer has an area of 18 units2. If the total
volume is 126 units3, what is the height of the figure?
*8.
Write to Explain 2 ways you could efficiently
decompose the figure to determine its volume.
Which of your 2 strategies is most efficient? Explain
your reasoning.
9. Steve fills Box A and Box B with 1 centimeter cubes.
Writing to Explain:
Steve thinks Box B has a greater volume because it is taller than Box A. Is his thinking correct?
Justify your answer with mathematical reasoning.
10.
Which of the 4 figures have equal
volumes?
A: Box A and Box B
B: Box A and Box C
C: Box C and Box D
D: Box C and Box B
Deer Valley Unified School District
Name : Answer Key
5th
Date _________________________
Grade Math
Unit 1 Post-Assessment: Understanding Volume
RUBRIC for “WRITING TO EXPLAIN” Questions:
3 points
Student shows a clear
understanding of concept
by using written
explanation and/or visual
models to solve the
problem correctly.
2 points
Student shows some
understanding of concept by
using written explanation
and/or visual models to
solve the problem.
(minor error in
understanding)
1 point
Student shows little
understanding of concept.
Student may have correct
answer, but no evidence of
understanding, or incorrect
answer but little evidence
of understanding is
present.
0 points
Student writes incorrect answer and
shows no evidence of understanding.
ALL ANSWERS MUST ATTEND TO PRECISION AND BE LABELED CORRECTLY.
*1.
*2.
What is the volume of the shape in cubic units?
What is the volume of the shape in cubic inches?
18 cubic units
54 cubic inches
3.
4.
What is the total volume of this composite figure?
35 units3
SELECT ALL of the following statements which are
true.
G. The area of the base layer is 10 units²
H. The area of the base layer is 5 units²
I. The height of the figure is 4 units.
J. The figure has a volume of 20 units³
K. The figure has a volume of 38 units ³
L. The figure has a volume of 40 units³
*5.
*6.
When completed, the design of this shape has a
height of 9 units and forms a rectangular prism. What
is the volume of the prism?
4 in.
What is the area of the base of the prism?
15 in2
135 units3
How many more layers would you need to fill this
prism?
3 more layers (4 total layers)
7. The base layer has an area of 18 units2. If the total
volume is 126 units3, what is the height of the figure?
*8.
Write to Explain 2 ways you could efficiently
decompose the figure to determine its volume.
The height is 7 units.
Answers may include: 9 layers with an area of 20
totaling 180 units3, 5 layers with an area of 36
totaling 180 units3, 4 layers with an area of 45
totaling 180 units3
Which of your 2 strategies is most efficient? Explain
your reasoning.
Answers will vary.
9. Steve fills Box A and Box B with 1 centimeter cubes.
Writing to Explain:
Steve thinks Box B has a greater volume because it is taller than Box A. Is his thinking correct?
Justify your answer with mathematical reasoning.
Answer may include:
No, Box A actually has greater volume. Box A has a base layer of 6 cm2 and has 5 layers for height for a total
volume of 30 cm3. Box B has a base layer of 4 cm2 and has 6 layers for height for a total volume of 24 cm3.
10.
Which of the 4 figures have equal
volumes?
A: Box A and Box B
B: Box A and Box C
C: Box C and Box D
D: Box C and Box B