Unit 4, Section B

Multi-digit Division Using Partial Quotients

Grade 5

Practice

Problem 1

ForLesson 9: World’s Record Folk Dance

Student Task Statement

480 dancers make groups of 15. How many groups are there? Explain or show your reasoning.
480 dancers make groups of 30. How many groups are there? Explain or show your reasoning.

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Problem 2

ForLesson 10: Different Partial Quotients

Student Task Statement

Explain why is equivalent to .
What is the value of ? Show your thinking. Organize your work so it can be followed by others.

Problem 3

ForLesson 11: A Partial-Quotients Algorithm

Student Task Statement

Use partial quotients to find the value of .

divide. 9, long division symbol with two hundred forty three inside

Problem 4

ForLesson 12: Divide, Using Partial Quotients

Student Task Statement

Use partial quotients to find the quotient .
Use partial quotients to find in a different way.

Problem 5

ForLesson 13: Practice a Partial-Quotients Algorithm

Student Task Statement

Find . Use partial quotients. Show your thinking. Organize your work so it can be followed by others.

Problem 6

ForLesson 14: Find Unknown Side Lengths

Student Task Statement

The area of a rectangular field is 8,320 square yards. The width is 65 yards. How long is the field? Explain or show your reasoning.

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Problem 7

ForLesson 15: World’s Record Noodle Soup

Student Task Statement

Suppose a noodle company made a noodle that was 3,624 feet long, and suppose the noodle was shared equally and served 150 people.

Jada estimates that each person would be served about 20 feet of noodle. Do you agree with Jada? Explain or show your reasoning.
Is Jada’s estimate greater than or less than the actual length each person would be served? Explain or show your reasoning.

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Problem 8

Exploration

Student Task Statement

Andre makes a noodle that is 102 feet long. The noodle breaks into 2 pieces. One piece is 2 times as long as the other. How long are the 2 noodles? Explain or show your reasoning.
Priya makes a noodle that is 456 feet long. The noodle breaks into 2 pieces. One piece is 5 times as long as the other. How long are the 2 noodles? Explain or show your reasoning.

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Problem 9

Exploration

Student Task Statement

Lin finds the value of . She calculates and notices that it is . Lin says that .

Explain Lin's reasoning.
Use Lin's method to calculate .

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Multi-digit Division Using Partial Quotients

Practice

Problem 1

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Problem 2

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Problem 3

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Problem 4

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Problem 5

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Problem 6

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Problem 7

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Problem 8

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Problem 9

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