Curriculum  /  Math  /  4th Grade  /  Unit 2: Multi-Digit Multiplication  /  Lesson 9

Multi-Digit Multiplication

Lesson 9

Math

Unit 2

4th Grade

Lesson 9 of 18

Objective

Multiply four-digit numbers by one-digit numbers.

Common Core Standards

Core Standards

  • 4.NBT.B.5 — Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Foundational Standards

  • 3.NBT.A.3
  • 4.NBT.A.1
  • 4.NBT.B.4
  • 3.OA.B.5
  • 3.OA.C.7

Criteria for Success

  1. Multiply a four-digit whole number by a one-digit whole number using area models and the partial products algorithm. 
  2. Understand that partial products can be written in increasing or decreasing order when recording them vertically. 
  3. Estimate products by rounding factors to the largest place value. 
  4. Solve one-step word problems involving multiplication of four-digit by one-digit numbers (on the Problem Set and Extra Practice Problems) (MP.4).

Tips for Teachers

Note that the last Criteria for Success is not addressed in the Anchor Tasks below, since each problem type involving multiplication has been explored in previous lessons. However, if it seems students need additional practice with any type (particularly multiplicative compare with larger unknown), then you can use the values in Anchor Task 2 in the context of a word problem.

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Anchor Tasks

25-30 minutes

Problem 1

A student solved 4 × 2,387 below: 

a.   How is this different from the way we recorded partial products previously? 

b.   Did this way of recording the partial products give the correct product? Use an area model and/or the way we recorded partial products yesterday to check. 

Guiding Questions

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Student Response

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Problem 2

Estimate the product. Then use any method to solve. 

a.    $$8 \times 5,289$$

b.    $$3,067 \times 6$$

Guiding Questions

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Student Response

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Problem Set

15-20 minutes

Discussion of Problem Set

  • Can you represent #3 with an area model to solve even though it’s a problem involving arrays? Why or why not? 
  • Whenever there is a 0 in a factor, what does that mean about how many sections of an area model there will be? What about how many partial products there will be in the partial products algorithm? 
  • In #4, can you use the expression (6 x 5,000) + (6 x 400) + (6 x 70) + (6 x 9) to solve 6 x 5,479? How is this related to the partial products algorithm? 
  • I think the product in #2c is 1,490. What mistake do you think I made? What if I thought the answer was 149? 
  • Did you use any strategies from Lesson 6 to solve any problems on today’s Problem Set? For example, #2c or #5c?

Target Task

5-10 minutes

Problem 1

Which strategy for multiplying 5,712 and 4 should result in the correct product?

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Student Response

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Problem 2

a.   Explain why the expression (4,000 + 20 + 5) × 6 can or cannot be used to find the value of 4,025 × 6.

b.   Compute 4,025 × 6.

Student Response

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Problem 3

A pencil is 7 inches long. The Empire State Building is 2,492 times as tall as a pencil. How tall, in inches, is the Empire State Building?

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.

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.

Next

Multiply two-, three-, and four-digit numbers by one-digit numbers and assess the reasonableness of the product.

Lesson 10
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Lesson Map

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

Topic A: Multiplicative Comparison

Topic B: Multiplication of up to Four-Digit Whole Numbers by One-Digit Whole Numbers

Topic C: Multiplication of Two-Digit Whole Numbers by Two-Digit Whole Numbers

Topic D: Multi-Step Word Problems

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