G4 U7 Constructed Response
Name: ________________________________________ Date:_______________
Grade 4 Unit 7 Constructed Response Decimal Form of Fractions TASK 1: Expressing Fractions with Denominators 10 and 100; Adding Fractions (CCSS 4.NF.5; SMP 1, 2, 4, 5, 6, 7)
1. Analyze the expression:
𝟓 𝟏𝟎
=
? 𝟏𝟎𝟎
a. In the table below, find the equivalent fraction using a grid model. Show your work in detailed and organized steps. Grid Model:
Answer: ________________ b. Explain how the grid model helped you find the solution. What steps did you take to create your grid model?
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 2. Find an equivalent fraction for
70 100
.
a. In the table below, find your answer using a number line. Show your work in detailed and organized steps. Number Line:
Answer: ________________ b. Based on your answer from above, explain why these two fractions are equivalent. How did the number line help you visualize this relationship?
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 3
40
3. Genevieve has of a yard of turquoise ribbon. Her sister Samantha has 10 100 of a yard of turquoise ribbon. Looking through their craft boxes they find 12 another of a yard of turquoise ribbon. How much turquoise ribbon do 100 they have altogether? a. In the table, find the total amount of ribbon Samantha and Genevieve have using either a number line or a grid model. Show your work in detailed and organized steps. Strategy:
Answer: __________________
b. After finding the solution to the problem, write a discussion in which you explain why you chose to use a number line or grid model to find your answer. Was this strategy easier to use than the other?
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions TASK 2: Extending the Place Value Chart; Fractions to Decimals (CCSS: 4.NF.6; SMP: 2, 4, 5, 7, 8)
4. a. Starting with 620 divide by 10 until the hundredths place. Complete the place value chart below to show your work.
0
Thousandths
2
Hundredths
6
Tenths
Ones
THOUSANDTHS
Tens
Ones
ONES
Hundreds
Starting Number
Tens
Hundreds
THOUSANDS
620 ÷ 10
b. Explain what the relationship between each place value on the table is to the place value to its right and left. Are the place values to the left smaller or greater? Are the place values to the right smaller or greater?
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 5. Write
48 100
in decimal form; then place this decimal on a number line.
a. Before writing the fraction in decimal form, describe a possible strategy for finding this decimal.
b. In the table below, find the decimal and place it on a number line. Show your work in detailed and organized steps.
Answer: Decimal: __________________
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 6. Charlie and his brother are giving their mom a bag of candy for her birthday. 37 Charlie purchases of a pound of candy to include in the bag. His brother 4
100
purchases of a pound of candy to include in the bag. How much candy did 10 Charlie and his brother buy altogether? a. Write an expression that can be used to find the total quantity of candy Charlie and his brother put in the bag for their mom. Answer: ______________________ b. In the table below, find the amount of candy Charlie and his brother purchased. Give your answer in decimal form. Show your work in detailed and organized steps.
Answer: __________________
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions c. Represent your answer from 6b on a number line.
d.
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions TASK 3: Changing Decimals to Fractions and Comparing Decimals (CCSS: 4.NF.6, 7; SMP: 2, 3, 4, 5, 6, 7)
7. Tommy encounters the following question on a test: What is 0.68 written as a fraction? Tommy’s work:
Tenths
Hundredths
Thousandths
THOUSANDTHS
Ones
Ten
Hundred
ONES
0
0
6
8
Tommy’s Answer: Since there is a 6 in the hundredths place and an 8 in the thousandths place I can read the fraction as 68 thousandths. Another way to 68 say this is 68 out of a thousand which can be written as . 1000
a. After analyzing Tommy’s work and answer, determine if he is correct or incorrect. If he is not correct, identify and explain his errors.
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions b. If Tommy was incorrect, show the correct way to convert the decimal into a fraction by creating and using a place value chart, and give the correct fraction.
Answer: ____________ c. Represent your answer from above on a number line.
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 8. Compare 0.69 and 0.28 using , 𝑜𝑟 = . a. In the table below compare the quantities using a number line and by using fractions. Use , 𝑜𝑟 = to show your answer. Number Line:
Fractions:
Answer: _________________________
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions b. Write a discussion in which you compare the two strategies you used to make the comparison between the two decimals. Which strategy is the most effective for you to find the solution?
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 9. Mark, Stella, Christina, and Jared ran a mile in P.E. class. The following table shows their times. Runner Mark Stella Christina Jared
Time 6.35 minutes 7.05 minutes 6.018 minutes 7.035 minutes
Using the information in the table, compare the decimals to determine which runner came in 1st, 2nd, 3rd, and 4th. In the table below make this comparison using either a number line or fractions. Strategy:
Answer: 1st place runner:___________ Time: __________ 2nd place runner:___________ Time: __________ 3rd place runner:___________ Time: __________ 4th place runner:___________ Time: __________
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions TASK 1: Expressing Fractions with Denominators 10 and 100; Adding Fractions (CCSS 4.NF.5; SMP 1, 2, 4, 5, 6, 7)
1. Analyze the expression:
𝟓 𝟏𝟎
=
? 𝟏𝟎𝟎
a. In the table below, find the equivalent fraction using a grid model. Show your work in detailed and organized steps. Grid Model:
Answer: ________________ b. Explain how the grid model helped you find the solution. What steps did you take to create your grid model?
Copyright © Swun Math Grade 4 Unit 7 Constructed Response, Page 1
Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 2. Find an equivalent fraction for
70 100
.
a. In the table below, find your answer using a number line. Show your work in detailed and organized steps. Number Line:
Answer: ________________ b. Based on your answer from above, explain why these two fractions are equivalent. How did the number line help you visualize this relationship?
Copyright © Swun Math Grade 4 Unit 7 Constructed Response, Page 2
Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 3
40
3. Genevieve has of a yard of turquoise ribbon. Her sister Samantha has 10 100 of a yard of turquoise ribbon. Looking through their craft boxes they find 12 another of a yard of turquoise ribbon. How much turquoise ribbon do 100 they have altogether? a. In the table, find the total amount of ribbon Samantha and Genevieve have using either a number line or a grid model. Show your work in detailed and organized steps. Strategy:
Answer: __________________
b. After finding the solution to the problem, write a discussion in which you explain why you chose to use a number line or grid model to find your answer. Was this strategy easier to use than the other?
Copyright © Swun Math Grade 4 Unit 7 Constructed Response, Page 3
Grade 4 Unit 7 Constructed Response Decimal Form of Fractions
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions TASK 2: Extending the Place Value Chart; Fractions to Decimals (CCSS: 4.NF.6; SMP: 2, 4, 5, 7, 8)
4. a. Starting with 620 divide by 10 until the hundredths place. Complete the place value chart below to show your work.
0
Thousandths
2
Hundredths
6
Tenths
Ones
THOUSANDTHS
Tens
Ones
ONES
Hundreds
Starting Number
Tens
Hundreds
THOUSANDS
620 ÷ 10
b. Explain what the relationship between each place value on the table is to the place value to its right and left. Are the place values to the left smaller or greater? Are the place values to the right smaller or greater?
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 5. Write
48 100
in decimal form; then place this decimal on a number line.
a. Before writing the fraction in decimal form, describe a possible strategy for finding this decimal.
b. In the table below, find the decimal and place it on a number line. Show your work in detailed and organized steps.
Answer: Decimal: __________________
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 6. Charlie and his brother are giving their mom a bag of candy for her birthday. 37 Charlie purchases of a pound of candy to include in the bag. His brother 4
100
purchases of a pound of candy to include in the bag. How much candy did 10 Charlie and his brother buy altogether? a. Write an expression that can be used to find the total quantity of candy Charlie and his brother put in the bag for their mom. Answer: ______________________ b. In the table below, find the amount of candy Charlie and his brother purchased. Give your answer in decimal form. Show your work in detailed and organized steps.
Answer: __________________
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions c. Represent your answer from 6b on a number line.
d.
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions TASK 3: Changing Decimals to Fractions and Comparing Decimals (CCSS: 4.NF.6, 7; SMP: 2, 3, 4, 5, 6, 7)
7. Tommy encounters the following question on a test: What is 0.68 written as a fraction? Tommy’s work:
Tenths
Hundredths
Thousandths
THOUSANDTHS
Ones
Ten
Hundred
ONES
0
0
6
8
Tommy’s Answer: Since there is a 6 in the hundredths place and an 8 in the thousandths place I can read the fraction as 68 thousandths. Another way to 68 say this is 68 out of a thousand which can be written as . 1000
a. After analyzing Tommy’s work and answer, determine if he is correct or incorrect. If he is not correct, identify and explain his errors.
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions b. If Tommy was incorrect, show the correct way to convert the decimal into a fraction by creating and using a place value chart, and give the correct fraction.
Answer: ____________ c. Represent your answer from above on a number line.
Copyright © Swun Math Grade 4 Unit 7 Constructed Response, Page 10
Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 8. Compare 0.69 and 0.28 using , 𝑜𝑟 = . a. In the table below compare the quantities using a number line and by using fractions. Use , 𝑜𝑟 = to show your answer. Number Line:
Fractions:
Answer: _________________________
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions b. Write a discussion in which you compare the two strategies you used to make the comparison between the two decimals. Which strategy is the most effective for you to find the solution?
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Grade 4 Unit 7 Constructed Response Decimal Form of Fractions 9. Mark, Stella, Christina, and Jared ran a mile in P.E. class. The following table shows their times. Runner Mark Stella Christina Jared
Time 6.35 minutes 7.05 minutes 6.018 minutes 7.035 minutes
Using the information in the table, compare the decimals to determine which runner came in 1st, 2nd, 3rd, and 4th. In the table below make this comparison using either a number line or fractions. Strategy:
Answer: 1st place runner:___________ Time: __________ 2nd place runner:___________ Time: __________ 3rd place runner:___________ Time: __________ 4th place runner:___________ Time: __________
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