Lesson 9 | Multi-Digit and Fraction Computation | 6th Grade Mathematics

Objective

Multiply decimals using the standard algorithm.

Common Core Standards

Core Standards

The core standards covered in this lesson

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

The foundational standards covered in this lesson

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

The essential concepts students need to demonstrate or understand to achieve the lesson objective

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

Tips for Teachers

Suggestions for teachers to help them teach this lesson

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.

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

Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding

Problem 1

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

Guiding Questions

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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

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Problem Set

A set of suggested resources or problem types that teachers can turn into a problem set

Fishtank Plus Content

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

Target Task

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

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.

Student Response

An example response to the Target Task at the level of detail expected of the students.

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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 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

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Lesson 8

Lesson 10

Lesson Map

Topic A: Dividing with Fractions

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.

6.NS.A.1

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

6.NS.A.1

Divide a whole number by a fraction using visual models.

6.NS.A.1

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

6.NS.A.1

Solve and write story problems involving division with fractions.

6.NS.A.1

Solve problems involving division with fractions.

6.NS.A.1

Topic B: Computing with Decimals

Add and subtract decimals using the standard algorithm.

6.NS.B.3

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

6.NS.B.3

Multiply decimals using the standard algorithm.

6.NS.B.3

Divide multi-digit whole numbers using the standard algorithm.

6.NS.B.2

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

6.NS.B.2 6.NS.B.3

Divide decimals by decimals using the standard algorithm.

6.NS.B.3

Solve problems involving decimals using all four operations.

6.NS.B.3

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

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

6.NS.B.4

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

6.NS.B.4

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

6.NS.B.4

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

6.NS.B.4

Multi-Digit and Fraction Computation

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

Lesson Materials

Anchor Problems

Problem 1

Guiding Questions

Problem 2

Guiding Questions

Problem Set

Target Task

Problem 1

Problem 2

Student Response

Additional Practice

Word Problems and Fluency Activities

Lesson Map

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