Curriculum  /  Math  /  6th Grade  /  Unit 3: Multi-Digit and Fraction Computation  /  Lesson 10

Multi-Digit and Fraction Computation

Lesson 10

Math

Unit 3

6th Grade

Lesson 10 of 17

Objective

Divide multi-digit whole numbers using the standard algorithm.

Common Core Standards

Core Standards

  • 6.NS.B.2 — Fluently divide multi-digit numbers using the standard algorithm.

Foundational Standards

  • 4.NBT.B.6
  • 5.NBT.B.6

Criteria for Success

  1. Divide multi-digit whole numbers using partial quotients.
  2. Understand the connection between the standard algorithm for division and partial quotients.
  3. Apply the standard algorithm for division to solve problems.

Tips for Teachers

In fifth grade, students found whole number quotients with up to 2 digit divisors and 4 digit dividends using various strategies. In sixth grade, dividing multi-digit whole numbers is a fluency expectation. This lesson reviews partial quotient strategies from fifth grade and students are guided toward understanding the standard algorithm as an efficient way to compute. Ensure students have opportunities to build towards fluency throughout the unit and the year. See our Guide to Procedural Skill 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

In a group, Michelle, Nia, and Olumide work together to find the quotient of 67,764 ÷ 12.

a.   Michelle suggests the group find an estimate first. Estimate the quotient.

b.   Nia remembers partial quotients from 5th grade, so she suggests using this strategy. Use partial quotients to find the quotient.

c.   Olumide remembers a different strategy. He writes his work below. How is his strategy similar to Nia's? How is it different? 

Guiding Questions

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Student Response

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Problem 2

Solve $${70,072 \div 19}$$ using the standard algorithm.

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 6 Mathematics > Module 2 > Topic C > Lesson 13 — Example 1

Grade 6 Mathematics > Module 2 > Topic C > Lesson 13 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 3

Solve $${48,072 \div 24}$$ using the standard algorithm.

Guiding Questions

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Student Response

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Problem 4

Use the computation shown to find the products.

a.   $$189\times 16$$

b.   $$80\times 16$$

c.   $$9\times16$$

Guiding Questions

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Student Response

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References

Illustrative Mathematics Interpreting a Division Computation

Interpreting a Division Computation, accessed on Sept. 28, 2017, 3:31 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.

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

Use the standard algorithm to divide 462,308 by 76. Check your answer is correct using multiplication.

Student Response

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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 a few problems where there is a remainder. (Students are familiar with remainders from fourth and fifth grades.)

Word Problems and Fluency Activities

Next

Divide numbers with decimal quotients. Divide decimals by whole numbers.

Lesson 11
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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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