Curriculum  /  Math  /  6th Grade  /  Unit 3: Multi-Digit and Fraction Computation  /  Lesson 11

Multi-Digit and Fraction Computation

Lesson 11

Math

Unit 3

6th Grade

Lesson 11 of 17

Objective

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

Common Core Standards

Core Standards

  • 6.NS.B.2 — Fluently divide multi-digit numbers using the standard algorithm.
  • 6.NS.B.3 — Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Foundational Standards

  • 4.NBT.B.6
  • 5.NBT.B.6
  • 5.NBT.B.7

Criteria for Success

  1. Represent remainders as decimals in division problems.
  2. Understand how the standard algorithm (long division) can be extended to include decimal quotients and decimal dividends.
  3. Apply the standard algorithm for division to solve problems.

Tips for Teachers

Dividing multi-digit decimals is a fluency expectation in sixth grade. Lessons 11 and 12 demonstrate how the standard algorithm for division can be applied to problems with decimals in the dividend, divisor, or quotient. This lesson focuses on decimals in the quotient or in the dividend; students will see decimals in the divisor in Lesson 12. 

Lesson Materials

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

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Anchor Problems

25-30 minutes

Problem 1

Eight people need to divide $62 equally so that each person gets the same amount of money. How much money will each person get? 

Solve this problem using any method of your choice. Then use long division to support your answer.

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Student Response

Upgrade to Fishtank Plus to view Sample Response.

Problem 2

What is the decimal value of $${1 \div 20}$$?

Use long division to show your answer.

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Student Response

Upgrade to Fishtank Plus to view Sample Response.

Problem 3

A scientist is dividing 48.85 ounces of a liquid equally into 5 beakers. How many ounces of liquid should she put in each beaker?

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Student Response

Upgrade to Fishtank Plus to view Sample Response.

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

Problem 1

Find the decimal value of $${3 ÷ 50}$$ using any strategy. Then find the quotient using long division and show the answers are the same. 

Student Response

Upgrade to Fishtank Plus to view Sample Response.

Problem 2

After 6 months, you’ve paid $512.34 to your phone company. Assuming you pay the same amount each month, what is your monthly phone bill? Show your work.

Student Response

Upgrade to Fishtank Plus to view Sample Response.

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 of 
    • Dividing whole numbers by whole numbers that result in a decimal quotient
    • Dividing decimals by whole numbers
    • Dividing whole numbers by whole numbers that result in a whole number (review from Lesson 10)
    • Multiplying decimals, especially to check answers to division problems
  • Include problems similar to anchor problems with light context.
  • Illustrative Mathematics What Is the Best Way to Divide? — The second question of part c involves a whole number divided by a decimal, which is covered in the next lesson

Word Problems and Fluency Activities

Next

Divide decimals by decimals using the standard algorithm.

Lesson 12
icon/arrow/right/large

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

Request a Demo

See all of the features of Fishtank in action and begin the conversation about adoption.

Learn more about Fishtank Learning School Adoption.

Contact Information

School Information

What courses are you interested in?

ELA

Math

Are you interested in onboarding professional learning for your teachers and instructional leaders?

Yes

No

Any other information you would like to provide about your school?

We Handle Materials So You Can Focus on Students

We Handle Materials So You Can Focus on Students

We've got you covered with rigorous, relevant, and adaptable math lesson plans for free