Curriculum  /  Math  /  5th Grade  /  Unit 2: Multiplication and Division of Whole Numbers  /  Lesson 17

Multiplication and Division of Whole Numbers

Lesson 17

Math

Unit 2

5th Grade

Lesson 17 of 20

Objective

Divide three-digit dividends by two-digit divisors with two-digit quotients, reasoning about the decomposition of a remainder in any place.

Common Core Standards

Core Standards

  • 5.NBT.B.6 — Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Foundational Standards

  • 4.NBT.B.4
  • 4.NBT.B.6
  • 5.NBT.A.1
  • 5.NBT.A.2

Criteria for Success

  1. Estimate partial quotients of three-digit dividends and two-digit divisors with two-digit quotients. 
  2. Use the estimate to approximate each value in the quotient. 
  3. Adjust an estimate when the estimate would yield too large a result. 
  4. Adjust an estimate when the estimate would yield too small a result. 
  5. Divide three-digit dividends by two-digit divisors with two-digit quotients and remainders in the ones place. 
  6. Assess the reasonableness of an answer using estimation and/or the relationship between multiplication and division to check answers (MP.1).
  7. Solve word problems involving division, including those that require the interpretation of the remainder (MP.1, MP.4).
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Anchor Tasks

25-30 minutes

Problem 1

Estimate the following quotient. Then compute it.

$$590\div17$$

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic F > Lesson 22 — Concept Development

Grade 5 Mathematics > Module 2 > Topic F > Lesson 22 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

Solve. Then check your answer using multiplication.

a.   $${997\div16}$$

b.   $$859\div21$$

Guiding Questions

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Student Response

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Problem 3

A farmer’s chickens laid a total of 779 eggs. He packs the eggs into cartons of 24. After fully packing as many cartons as possible, he has one partially-filled carton. How many more eggs are needed to fill that carton?

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Discussion of Problem Set

  • In #1, was it ever necessary to adjust your quotients after estimating? If so, what did you do in order to continue dividing?
  • While checking your work today, did anyone discover an error in his or her division? If so, how did you fix it? How did you know what to do?
  • For #1f, I got 4 remainder 14. What mistake did I make? 
  • Talk to your partner about how you set up and solved #2. What was your thinking like?
  • How did estimation help you to divide today?

Target Task

5-10 minutes

Problem 1

Solve. 

$${581\div27}$$

Student Response

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Problem 2

Plywood comes in sheets that are 32 square feet. A roofer needs 341 square feet of plywood for a job. How many sheets of plywood does the roofer need? 

Student Response

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Additional Practice

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Divide four-digit dividends by two-digit divisors with two- and three-digit quotients, reasoning about the decomposition of a remainder in any place.

Lesson 18
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Writing and Interpreting Numerical Expressions

Topic B: Multi-Digit Whole Number Multiplication

Topic C: Multi-Digit Whole Number Division

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