Multi-Digit and Fraction Computation

Lesson 9

Unit 3: Multi-Digit and Fraction Computation

Topic A: Dividing with Fractions

1

6.NS.A.1

Interpret division problems as the number of items in each group or the number of groups of a given number of items. Write corresponding multiplication and division problems.

2

6.NS.A.1

Divide a fraction by a whole number using visual models and related multiplication problems.

3

6.NS.A.1

Divide a whole number by a fraction using visual models.

4

6.NS.A.1

Use visual models and patterns to develop a general rule to divide with fractions.

5

6.NS.A.1

Solve and write story problems involving division with fractions.

6

6.NS.A.1

Solve problems involving division with fractions.

Topic B: Computing with Decimals

7

6.NS.B.3

Add and subtract decimals using the standard algorithm.

8

6.NS.B.3

Multiply decimals using strategies, and develop an understanding of the standard algorithm.

9

6.NS.B.3

Multiply decimals using the standard algorithm.

10

6.NS.B.2

Divide multi-digit whole numbers using the standard algorithm.

11

6.NS.B.2

6.NS.B.3

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

12

6.NS.B.3

Divide decimals by decimals using the standard algorithm.

13

6.NS.B.3

Solve problems involving decimals using all four operations.

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

14

6.NS.B.4

Use prime factorization to represent numbers as products of prime factors.

15

6.NS.B.4

Find the greatest common factor of two numbers. Solve application problems using the greatest common factor.

16

6.NS.B.4

Find the least common multiple of two numbers. Solve application problems using the least common multiple.

17

6.NS.B.4

Solve mathematical and real-world problems using the greatest common factor and least common multiple.

Objective

Multiply 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.

The Number System

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.5

Number and Operations in Base Ten

5.NBT.B.5 — Fluently multiply multi-digit whole numbers using the standard algorithm.
5.NBT.B.7

Number and Operations in Base Ten

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.

Criteria for Success

Multiply decimals using the standard algorithm.
Solve word problems involving decimals using the standard algorithm.

Tips for Teachers

Multiplying with decimals is a fluency expectation in sixth grade. Ensure students have opportunities to build towards fluency throughout the unit and the year. There are two quick Anchor Problems in this lesson in order to leave plenty of time for practice. Students can get further practice with this skill when they get to division with decimals; students can use multiplication to check their answers. See our Guide to Procedural Skill and Fluency for additional notes and strategies.
The following tools or materials are useful for this lesson: large graph or grid paper for computations, calculators to check answers.

Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problem 1 (benefits from worked example). If students have a strong grasp on using the standard algorithm to multiply decimals, then this Anchor Problem can either be skipped or done independently. Find more guidance on adapting our math curriculum for remote learning here.

Fishtank Plus

Subscribe to Fishtank Plus to unlock access to additional resources for this lesson, including:

Problem Set
Student Handout Editor
Google Classrom Integration
Vocabulary Package

Anchor Problems

Problem 1

Calculate the product using the standard algorithm: $${306.32 \times 8.4}$$

Guiding Questions

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

Problem 2

At the grocery store, ground beef is on sale for $4.25 per pound. How much would 3.75 pounds of ground beef cost? Round your answer to the nearest cent.

Guiding Questions

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

Problem Set

With Fishtank Plus, you can download a complete problem set and answer key for this lesson. Download Sample

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

Include opportunities for procedural practice. A search for “decimal multiplication problems” will result in several different worksheets.

EngageNY Mathematics Grade 6 Mathematics > Module 2 > Topic B > Lesson 11 — Exercises and Problem Set

EngageNY Mathematics Grade 5 Mathematics > Module 2 > Topic C > Lesson 11 — Sprint

Illustrative Mathematics Elmer's Multiplication Error — Add decimals to this to make it on grade-level

RDA Performance Task Bank Grade 6 Mathematics Sample CR Item Claim 2

Target Task

Problem 1

Find the product of 39.56 and 65.8.

Problem 2

Gas costs $2.89 per gallon, and Alex fills his gas tank with 12.06 gallons. How much does he pay for gas? Give your answer to the nearest penny.

Mastery Response

Create a free account or sign in to view Mastery Response

Multi-Digit and Fraction Computation

Lesson 9

Unit 3: Multi-Digit and Fraction Computation

Topic A: Dividing with Fractions

1

2

3

4

5

6

Topic B: Computing with Decimals

7

8

9

10

11

12

13

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

14

15

16

17

Objective

Common Core Standards

Core Standards

The Number System

Foundational Standards

Number and Operations in Base Ten

Number and Operations in Base Ten

Criteria for Success

Tips for Teachers

Remote Learning Guidance

Fishtank Plus

Anchor Problems

Problem 1

Guiding Questions

Problem 2

Guiding Questions

Problem Set

Target Task

Problem 1

Problem 2

Mastery Response

lesson 8

lesson 10