G3 U5 Constructed Response
Name: ________________________________________ Date:_______________
Grade 3 Unit 5 Constructed Response Understanding Fractions TASK 1: Understanding Denominators and Numerators; Fractional Size as it Relates to the Whole (MC: 3.NF.1; MP: 1, 4, 7, 8) 1. Use the rectangle to model the following: a. Partition the rectangle below into sixths and label each equal part with the correct fraction. 5
b. Shade of the rectangle. 6
c. Tell what you know about fractions by answering these questions: What does a fraction represent? What is a denominator? What is a numerator?
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Grade 3 Unit 5 Constructed Response Understanding Fractions 2. Sofia ordered a large cookie cake for an office party. Including Sofia, there are 8 people in her office, and she wants to divide the cookie cake equally. a. Use the circle below to create a diagram representing how Sofia should cut the cookie cake so each person receives an equal part. Label each equal part with the correct fraction.
b. Before Sofia cut the cookie cake, she was told that two people from her office would not be able to come to the party. How should she cut the cookie cake now so that everyone gets an equal piece?
Will these slices be larger or smaller since fewer people are attending the party? Explain your reasoning.
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Grade 3 Unit 5 Constructed Response Understanding Fractions c. Use the circle below to create a diagram representing your answer from question 2b. Label each equal part with the correct fraction.
3
d. If of the cookie cake is eaten, how many slices is that? Use the model 6 you created in question 2c to help you find the answer.
Answer:
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Grade 3 Unit 5 Constructed Response Understanding Fractions 3. The teacher gave Bo and Marjory the same size paper for an art project. a. Bo cut his paper in half. Partition the rectangle below to show how Bo could have cut his paper. Label each part with the correct fraction.
b. Marjory cut her construction paper in thirds. Partition the rectangle below to show how Marjory could have cut her paper. Label each part with the correct fraction.
c. Marjory used
2 3
of her construction paper in her art project. How many of
her cut pieces did she use?
Answer:
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Grade 3 Unit 5 Constructed Response Understanding Fractions TASK 2: Fractions on a Number Line (MC: 3.NF.2 a,b; MP: 1, 3, 4, 7, 8) 4. Jordan is asked to create a number line and partition it into eighths. He is also instructed to label each of these parts correctly. The number line he created is shown below:
0
1
1
1
1
1
1
1
8
8
8
8
8
8
8
1
a. According to the directions Jordan received, is his model is correct? If he was incorrect, identify and explain his error(s).
b. If Jordan was incorrect, create the correct number line according to the instructions.
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Grade 3 Unit 5 Constructed Response Understanding Fractions 1
3
4
4
5. a. On the number line below, show and label the locations of 1 and .
0
1
2
1
b. Is 1 closer to the number 0, 1, or 2? Explain how you know by referring 4 to your number line.
3
Is closer to the number 0, 1, or 2? Explain how you know by referring 4 to your number line.
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Grade 3 Unit 5 Constructed Response Understanding Fractions 6. The boys and girls in Mrs. Fitzpatrick’s class are racing against each other in a relay race. The race is one mile long. a. The boys’ team has 6 runners who will each run an equal distance. Use the number line to show how the boys will share the run.
b. The girls’ team has 4 runners who will each run an equal distance. Use the number line to show how the girls will share the run.
c. Who will run a farther distance, a girl or a boy? How do you know?
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Grade 3 Unit 5 Constructed Response Understanding Fractions TASK 3: Fractional Parts in a Set (MC: 3.NF.1; MP: 1, 3, 4, 6, 7, 8) 7.
Use at the set below to answer the questions.
a. Write a brief description of the set, without naming the fractions. Are the shapes the same size? Are they the same color? How many objects are in the set?
b. Write 2 fractions that represent the fractional parts in the picture. Answer: Fraction Shaded Stars
Unshaded Stars
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Grade 3 Unit 5 Constructed Response Understanding Fractions 8. Use the set below to answer the questions.
a. What fraction of this set is unshaded triangles?
Answer:
b. What fraction of this set is shaded circles?
Answer:
c. How was this set different from the set you worked with in question 7? Explain your answer in complete sentences.
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Grade 3 Unit 5 Constructed Response Understanding Fractions TASK 1: Understanding Denominators and Numerators; Fractional Size as it Relates to the Whole (MC: 3.NF.1; MP: 1, 4, 7, 8) 1. Use the rectangle to model the following: a. Partition the rectangle below into sixths and label each equal part with the correct fraction. 5
b. Shade of the rectangle. 6
c. Tell what you know about fractions by answering these questions: What does a fraction represent? What is a denominator? What is a numerator?
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Grade 3 Unit 5 Constructed Response Understanding Fractions 2. Sofia ordered a large cookie cake for an office party. Including Sofia, there are 8 people in her office, and she wants to divide the cookie cake equally. a. Use the circle below to create a diagram representing how Sofia should cut the cookie cake so each person receives an equal part. Label each equal part with the correct fraction.
b. Before Sofia cut the cookie cake, she was told that two people from her office would not be able to come to the party. How should she cut the cookie cake now so that everyone gets an equal piece?
Will these slices be larger or smaller since fewer people are attending the party? Explain your reasoning.
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Grade 3 Unit 5 Constructed Response Understanding Fractions c. Use the circle below to create a diagram representing your answer from question 2b. Label each equal part with the correct fraction.
3
d. If of the cookie cake is eaten, how many slices is that? Use the model 6 you created in question 2c to help you find the answer.
Answer:
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Grade 3 Unit 5 Constructed Response Understanding Fractions 3. The teacher gave Bo and Marjory the same size paper for an art project. a. Bo cut his paper in half. Partition the rectangle below to show how Bo could have cut his paper. Label each part with the correct fraction.
b. Marjory cut her construction paper in thirds. Partition the rectangle below to show how Marjory could have cut her paper. Label each part with the correct fraction.
c. Marjory used
2 3
of her construction paper in her art project. How many of
her cut pieces did she use?
Answer:
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Grade 3 Unit 5 Constructed Response Understanding Fractions TASK 2: Fractions on a Number Line (MC: 3.NF.2 a,b; MP: 1, 3, 4, 7, 8) 4. Jordan is asked to create a number line and partition it into eighths. He is also instructed to label each of these parts correctly. The number line he created is shown below:
0
1
1
1
1
1
1
1
8
8
8
8
8
8
8
1
a. According to the directions Jordan received, is his model is correct? If he was incorrect, identify and explain his error(s).
b. If Jordan was incorrect, create the correct number line according to the instructions.
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Grade 3 Unit 5 Constructed Response Understanding Fractions 1
3
4
4
5. a. On the number line below, show and label the locations of 1 and .
0
1
2
1
b. Is 1 closer to the number 0, 1, or 2? Explain how you know by referring 4 to your number line.
3
Is closer to the number 0, 1, or 2? Explain how you know by referring 4 to your number line.
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Grade 3 Unit 5 Constructed Response Understanding Fractions 6. The boys and girls in Mrs. Fitzpatrick’s class are racing against each other in a relay race. The race is one mile long. a. The boys’ team has 6 runners who will each run an equal distance. Use the number line to show how the boys will share the run.
b. The girls’ team has 4 runners who will each run an equal distance. Use the number line to show how the girls will share the run.
c. Who will run a farther distance, a girl or a boy? How do you know?
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Grade 3 Unit 5 Constructed Response Understanding Fractions TASK 3: Fractional Parts in a Set (MC: 3.NF.1; MP: 1, 3, 4, 6, 7, 8) 7.
Use at the set below to answer the questions.
a. Write a brief description of the set, without naming the fractions. Are the shapes the same size? Are they the same color? How many objects are in the set?
b. Write 2 fractions that represent the fractional parts in the picture. Answer: Fraction Shaded Stars
Unshaded Stars
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Grade 3 Unit 5 Constructed Response Understanding Fractions 8. Use the set below to answer the questions.
a. What fraction of this set is unshaded triangles?
Answer:
b. What fraction of this set is shaded circles?
Answer:
c. How was this set different from the set you worked with in question 7? Explain your answer in complete sentences.
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