Curriculum  /  Math  /  6th Grade  /  Unit 3: Multi-Digit and Fraction Computation  /  Lesson 12

Multi-Digit and Fraction Computation

Lesson 12

Math

Unit 3

6th Grade

Lesson 12 of 17

Objective

Divide decimals by decimals using the standard algorithm.

Common Core Standards

Core Standards

  • 6.NS.B.3 — Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Foundational Standards

  • 5.NBT.B.7

Criteria for Success

  1. Understand that multiplying a dividend and divisor by the same power of ten creates equivalent division problems with the same solution.
  2. Create equivalent division problems with whole number divisors that can be solved using the standard algorithm. 
  3. Apply the standard algorithm for division to solve problems.

Tips for Teachers

Dividing with decimals is a fluency expectation in sixth grade. Ensure students have opportunities to build towards fluency throughout the unit and the year. See our Guide to Procedural Skills and Fluency for additional information and strategies.

Lesson Materials

  • Graph Paper (2-3 sheets per student)
  • Optional: Calculators (1 per student) — Calculators can be used to check answers.
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Anchor Problems

25-30 minutes

Problem 1

Consider the division problem $$19.2 \div 1.6$$. 

Written as a fraction, the problem becomes $${\frac{19.2}{1.6}}$$.

a.   Multiply the fraction by $${\frac{10}{10}}$$​ to ​​create an equivalent division problem with whole numbers. Then use the standard algorithm for division to find the quotient.

b.   How can you apply this approach to solve other decimal division problems?

Guiding Questions

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Student Response

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Problem 2

Divide: $$526.76 \div 1.3$$

First, write an equivalent division problem with a whole number divisor. Then solve and check your answer using multiplication. 

Guiding Questions

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Student Response

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Problem 3

Which division problems below will have the same solution as $$580.6 \div 8.44$$?

Explain your reasoning for each equivalent problem.

A.     $${580.6 \div 844}$$

B.     $${5,806 \div 844}$$

C.     $${58,060 \div 844}$$

D.     $${580,600 \div 844}$$

E.     $${5,806 ÷ 84.4}$$

F.     $${58.06 ÷ 0.844}$$

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task

5-10 minutes

Sophia’s dad paid $43.25 for 12.5 gallons of gas.

a.   What is the cost of one gallon of gas?

b.   Approximately how many gallons of gas can you get for $1? Round to the nearest hundredth.

Student Response

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References

Illustrative Mathematics Buying Gas

Buying Gas, accessed on Sept. 28, 2017, 3:55 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by Fishtank Learning, Inc.

Additional Practice

The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

  • Include procedural problems involving all types of decimal division problems.
  • Include examples where the decimal answer is rounded to a given place value.
  • Include error analysis problems.

Word Problems and Fluency Activities

Next

Solve problems involving decimals using all four operations.

Lesson 13
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Lesson Map

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

Topic A: Dividing with Fractions

Topic B: Computing with Decimals

Topic C: Applying the Greatest Common Factor and the Least Common Multiple

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