Curriculum  /  Math  /  6th Grade  /  Unit 3: Multi-Digit and Fraction Computation  /  Lesson 8

Multi-Digit and Fraction Computation

Lesson 8

Math

Unit 3

6th Grade

Lesson 8 of 17

Objective

Multiply decimals using strategies, and develop an understanding of 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.A.2
  • 5.NBT.B.5
  • 5.NBT.B.7

Criteria for Success

  1. Solve decimal multiplication problems using partial products.
  2. Use estimation to estimate and understand products of decimals.
  3. Understand the relationship between a whole number multiplication problem and a decimal multiplication problem with the same digits; develop an understanding of the standard algorithm for multiplying decimals.
  4. Multiply decimals using the standard algorithm.

Tips for Teachers

  • In fifth grade, students learn different strategies to multiply decimals. In this lesson, they review some of those strategies and are guided toward understanding the standard algorithm as an efficient way to compute. Lesson 9 continues this work with more practice and fluency development. 

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

Use partial products to calculate the product of $${12.6 × 4.8}$$.

Guiding Questions

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Student Response

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Problem 2

a.   For the two problems below, use estimation to determine the product without calculating it exactly.

b.   For the two problems below, use estimation to determine where the decimal point is located in each product.

Guiding Questions

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Student Response

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Problem 3

Consider the multiplication problem: $${24 × 3=72}$$.

Now consider the problem: $${24 × 0.3}$$.

Using properties of operations, it can be written as: $${24 \times (3 \times 0.1) = (24 × 3) \times 0.1=7.2}$$

a.   Rewrite the following multiplication problems like the one above to determine each product.

$${2.4 \times 3}$$

$$24\times 0.03$$

$$2.4\times0.3$$

b.   Describe what you notice. What is the relationship between a whole number multiplication problem and a decimal multiplication problem with the same digits? Why does this make sense? 

Guiding Questions

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Student Response

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Problem 4

Given the multiplication problem $${{52.83 \times 2.6}}:$$

a.   Determine an estimate.

b.   Find the related product of $${5283 \times 26}$$.

c.   Determine the product of $${{52.83 \times 2.6}}$$.

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

Given the multiplication problem: $${9.36 × 4.22 }:$$

a.   Determine an estimate.

b.   Find the related product of $${936 \times 422}$$.

c.   Determine the product of $${9.36 \times 4.22}$$.

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.

Word Problems and Fluency Activities

Next

Multiply decimals using the standard algorithm.

Lesson 9
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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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