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.
Fishtank Plus

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

Anchor Problems


Problem 1

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

Guiding Questions

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

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

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

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

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

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

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

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


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

Create a free account or sign in to view Student 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.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

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

icon/arrow/right/large copy

Lesson 7

icon/arrow/right/large

Lesson 9

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?

Effective Instruction Made Easy

Effective Instruction Made Easy

Access rigorous, relevant, and adaptable math lesson plans for free