Multiplication and Division of Whole Numbers

Lesson 7

Math

Unit 2

5th Grade

Lesson 7 of 20

Objective


Multiply three-digit numbers by two-digit numbers.

Common Core Standards


Core Standards

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

Foundational Standards

  • 4.NBT.B.4
  • 4.NBT.B.5
  • 5.NBT.A.1
  • 5.NBT.A.2

Criteria for Success


  1. Compute three-digit by two-digit products using the standard algorithm, the partial products algorithm, or the area model. 
  2. Understand that the most efficient way to solve a multiplication problem with the standard algorithm is by decomposing the value with the fewest number of non-zero digits (i.e., by having the value with fewer non-zero digits on the bottom since it will produce the fewest number of partial products). (Note: This criteria for success can be delayed until a later lesson.) 
  3. Assess the reasonableness of an answer by rounding to estimate three-digit by two-digit products (MP.1).
  4. Solve word problems involving up to three-digit by two-digit multiplication (MP.4).

Tips for Teachers


Throughout the remainder of the unit, the focus will be on the standard algorithm instead of the partial products algorithm or the area model. However, you may decide to include those models in your discussions, depending on student need. 

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Anchor Tasks


Problem 1

Find the products using any method. Then assess the reasonableness of your answer.

a.   $$814\times39$$

b.   $$78\times266$$

Guiding Questions

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Problem 2

How many cans of soda are in the following display? There are 12 cans of soda in each box.

Guiding Questions

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References

kristenacosta.com American Pepsi

American Pepsi is made available on kristenacosta.com under the CC BY-NC 4.0 license. Accessed Dec. 7, 2018, 12:38 p.m..

Modified by Fishtank Learning, Inc.

Problem Set


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

  • How many colored pencils are in the supply closet in #2? Did anyone use an area model to solve? Why can we use an area model to solve even though it’s not an area problem? 
  • How much will Jack save in #3? What made this word problem more difficult than the one in #2? 
  • Look at #4. Did anyone see that their answer was unreasonable after they estimated the product?

Target Task


Problem 1

Solve. 

$$783\times42$$

Problem 2

Joey Chestnut holds the world record for the number of hot dogs and buns eaten in a hot dog eating contest at 76 hot dogs and buns. If each hot dog and bun is 275 calories, how many calories did he eat in his record-setting contest? 

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer Keys

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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.

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Lesson 6

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Lesson 8

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Writing and Interpreting Numerical Expressions

Topic B: Multi-Digit Whole Number Multiplication

Topic C: Multi-Digit Whole Number Division

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