Curriculum  /  Math  /  5th Grade  /  Unit 2: Multiplication and Division of Whole Numbers  /  Lesson 14

Multiplication and Division of Whole Numbers

Lesson 14

Math

Unit 2

5th Grade

Lesson 14 of 20

Objective

Divide two- and three-digit dividends by multiples of 10 with one-digit quotients and remainders in the ones 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 quotients of two- and three-digit dividends divided by multiples of 10 with one-digit quotients.
  2. Use the estimate to approximate the leading value in the quotient. 
  3. Divide two- and three-digit dividends by multiples of 10 with one-digit quotients and remainders in the ones place.
  4. Assess the reasonableness of an answer using estimation and/or the relationship between multiplication and division to check answers (MP.1).
  5. 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.

$$70\div30$$

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic F > Lesson 19 — Concept Development

Grade 5 Mathematics > Module 2 > Topic F > Lesson 19 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.   $${570\div70}$$

b.   $$523\div90$$

Guiding Questions

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Student Response

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Problem 3

Georgia has 93 beads. She needs 20 beads to make a necklace. How many 20-bead necklaces can she make? 

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Discussion of Problem Set

  • In #1d, did anyone notice something different? Does it always make sense to use the standard algorithm?
  • In #2, what was Terry’s mistake? If you had to estimate the quotient, what would you have done? What could he do to correct his quotient without erasing his work so far? 
  • What if Terry had estimated too large a quotient? What should he do?
  • How was solving #3 different from solving all the others? Why?
  • For #4, when you computed the quotient you got 7 R 19. What do those mean in the context of this problem? What was the actual answer to this problem? How did you interpret the remainder? 
  • What did all our divisors have in common today? Did this make estimation easier?
  • Does a divisor have to be a multiple of 10? Why do you think we used multiples of 10 for divisors today?

Target Task

5-10 minutes

Problem 1

Solve. Show or explain your work.

a.   $${91\div20}$$

b.   $${368\div50}$$

Student Response

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Problem 2

Use multiplication to check your answers to both problems in Problem 1.

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 two-digit dividends by two-digit divisors with one-digit quotients and remainders in the ones place.

Lesson 15
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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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