Curriculum  /  Math  /  5th Grade  /  Unit 6: Multiplication and Division of Decimals  /  Lesson 11

Multiplication and Division of Decimals

Lesson 11

Math

Unit 6

5th Grade

Lesson 11 of 23

Objective

Divide a decimal by a two-digit whole number.

Common Core Standards

Core Standards

  • 5.NBT.B.7 — Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Foundational Standards

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

Criteria for Success

  1. Divide decimals by multiples of ten (e.g., 5.4 ÷ 90).
  2. Estimate quotients of decimals divided by two-digit numbers by finding nearby compatible numbers (e.g., 6.36 ÷ 73 ≈ 6.3 ÷ 70 = 0.09), using that estimate to approximate the leading value in the actual quotient.
  3. Adjust an estimate when the estimate would yield too large or too small a result.
  4. Divide a decimal to the hundredths place by a two-digit whole number in which the smallest place-value unit does not need to be decomposed using general methods, including using a base ten diagram and/or partial quotients algorithm. 
  5. Check the answer to a division problem by using inverse operations, multiplying the quotient by the divisor and seeing if the product is equivalent to the dividend.
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Anchor Tasks

25-30 minutes

Problem 1

a.   Find each quotient. Be prepared to explain your reasoning.

  1. 54 ÷ 9 = ___________
  2. 54 ÷ 90 = ___________
  3. 5.4 ÷ 90 = ___________
  4. 0.54 ÷ 90 = ___________

b.   What do you notice about Part (a)? What do you wonder?

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic G > Lesson 24 — Concept Development

Grade 5 Mathematics > Module 2 > Topic G > Lesson 24 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

Estimate the following quotients. Then compute them.

a.   78.2 ÷ 23

b.   19.17 ÷ 27

c.   32.2 ÷ 46

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Discussion of Problem Set

  • How are Parts A and B in #1 similar? How are they different?
  • Is your answer in #2d reasonable? How do you know?
  • How did you determine where to place the decimal point in #4?
  • How did you solve #6?

Target Task

5-10 minutes

Solve. Show or explain your work.

a.   92.8 ÷ 32

b.   18.72 ÷ 48

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 a decimal by a two-digit whole number that requires decomposition in the smallest place.

Lesson 12
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Lesson Map

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

Topic A: Multiplying Decimals

Topic B: Dividing Decimals

Topic C: Decimal Real-World Problems

Topic D: Measurement Conversion

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