Student Name:
2016-2017
3rd Grade Math
Performance Task
Louisiana
Published by TE21, Inc. February 2017
ALL RIGHTS RESERVED
This publication cannot be shared, duplicated, used for review or any other form of instruction,
or reproduced in part or in whole without written permission of TE21, Inc.
CASE 3rd Grade Math
Do Not Reproduce
PART 2—PERFORMANCE TASK
The items in this test are based on the Louisiana State Standards
for Mathematics.
DIRECTIONS FOR PART 2:
 Read each question carefully.
 Answer each question completely.
 Diagrams used in the test may not be drawn to scale.
 Stop when you see the words “STOP. END OF MATH TEST.”
Page 1
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CASE 3rd Grade Math
Do Not Reproduce
Jessica had a birthday party with a circular cake that her mother made from a recipe.
Jessica’s mother divided the cake into 8 equal pieces as shown.
Jessica’s Cake
Part A
Use the number line given to represent 8 equal pieces by adding hash marks to
divide the region into 8 equal segments. Label each hash mark with the fraction it
represents.
Part B
Jessica’s friend Ruby ate 2 pieces of cake. What fraction of the whole cake did Ruby
eat? Provide two equivalent fractions in your answer. Show work to support the
answer.
Page 2
Go to the next page
CASE 3rd Grade Math
Do Not Reproduce
For Caden’s birthday party, Caden’s mother used the same recipe with equal amounts of
ingredients. Caden’s mother cut his birthday cake into 6 equally sized pieces as shown in
the figure.
Caden’s Cake
Part C
Fill in the empty box shown to represent the number of pieces that make up
Caden’s cake. Show work to support the answer.
𝟏
𝟐
=
𝟏
𝟐
of

𝟔
Part D
What fraction represents the area of each piece of Caden’s cake? In 1-2 sentences,
explain the answer.
Part E
Which is larger, one piece of Jessica’s cake, which was cut into 8 equally sized
pieces, or one piece of Caden’s cake, which was cut into 6 equally sized pieces? In
1-2 sentences, explain the answer.
Page 3
STOP. END OF MATH TEST.
2016-2017
3rd Grade Math
Performance Task
(Scoring Guide)
Louisiana
Published by TE21, Inc. February 2017
ALL RIGHTS RESERVED
This publication cannot be shared, duplicated, used for review or any other form of instruction,
or reproduced in part or in whole without written permission of TE21, Inc.
CASE 3rd Grade Math
Performance
Task
Number of
Points
Standards
Question
Do Not Reproduce
Fractional Modeling
9 points
3.NF.A.2: Understand a fraction as a number on the number line;
represent fractions on a number line diagram.
3.NF.A.3: Explain equivalence of fractions in special cases, and
compare fractions by reasoning about their size.
3.G.A.2: Partition shapes into parts with equal areas. Express the area
of each part as a unit fraction of the whole.
Jessica had a birthday party with a circular cake that her mother
made from a recipe. Jessica’s mother divided the cake into 8 equal
pieces as shown.
Jessica’s Cake
Part A
Use the number line given to represent 8 equal pieces by adding hash
marks to divide the region into 8 equal segments. Label each hash
mark with the fraction it represents.
Part B
Jessica’s friend Ruby ate 2 pieces of cake. What fraction of the whole
cake did Ruby eat? Provide two equivalent fractions in your answer.
Show work to support the answer.
For Caden’s birthday party, Caden’s mother used the same recipe with
equal amounts of ingredients. Caden’s mother cut his birthday cake
into 6 equally sized pieces as shown in the figure.
Caden’s Cake
Part C
Fill in the empty box shown to represent the number of pieces that
make up
Page 1
𝟏
𝟐
of Caden’s cake. Show work to support the answer.
CASE 3rd Grade Math
Do Not Reproduce
𝟏
𝟐
=

𝟔
Part D
What fraction represents the area of each piece of Caden’s cake? In 12 sentences, explain the answer.
Scoring
Information
with Exemplary
Top-Score
Response*
Part E
Which is larger, one piece of Jessica’s cake, which was cut into 8
equally sized pieces, or one piece of Caden’s cake, which was cut into
6 equally sized pieces? In 1-2 sentences, explain the answer.
Part A (3.NF.A.2):
or
Part B (3.NF.A.3): Ruby ate
Part C (3.NF.A.3):
Part D (3.G.A.2):
𝟏
𝟐
𝟏
𝟔
=
𝟑
𝟔
𝟐
𝟖
, or
, since
𝟏
𝟐
𝟏
𝟒
, of the cake, since
=
𝟏×𝟑
𝟐×𝟑
=
𝟐
𝟖
=
𝟐÷𝟐
𝟖÷𝟐
=
𝟏
𝟒
.
𝟑
𝟔
; since each piece has an area equal to
𝟏
𝟔
of the
whole, and the cake is divided into 6 pieces that are all equal.
Part E (3.NF.A.3): One piece of Caden’s cake is larger. One piece of
Jessica’s cake is
and
𝟏
𝟔
>
𝟏
𝟖
𝟏
𝟖
large, while one piece of Caden’s cake is
𝟏
𝟔
large,
.
Suggested Scoring:
1 point is awarded for completing and labeling the number line
correctly in Part A.
1 point is awarded for identifying two correct and equivalent fractions
in Part B.
1 point is awarded for a mathematically sound explanation in Part B.
1 point is awarded for correctly filling in the box in Part C.
1 point is awarded for showing mathematically correct work in Part C.
1 point is awarded for finding the fraction in Part D.
1 point is awarded for a mathematically sound explanation in Part D.
1 point is awarded for identifying the larger piece of cake in Part E.
1 point is awarded for a mathematically sound explanation in Part E.
*Teachers are encouraged to score each part separately.
Page 2
Sample Technology Enhance Questions: 3rd Grade
Standard
3.NF.A.2
3.OA.B.5
Question
Answer
3.OA.A.1
3.G.A.1
3.NBT.A.1
3.OA.C.7