Unit 16: Whole-Number Arithmetic Fluency

Day 14 of 30

Use the area model for multiplication

3-5Mathematics

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Learning Objective

Students will be able to use the area model for multiplication.

Today's Lesson

In this lesson, we'll explore how to use the area model for multiplication. Mathematical thinking develops logical reasoning and problem-solving abilities.

Multiplication is a faster way to add equal groups. Instead of adding 3 + 3 + 3 + 3, we can multiply: 4 × 3 = 12. This means "4 groups of 3." The first number tells us HOW MANY groups, and the second number tells us how many are IN EACH group. The answer is called the product.

As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.

Take notes on key points and make connections to what you've already learned in previous lessons.

Key Terms
Area

The amount of surface enclosed within a boundary

Multiplication

Repeated addition of equal groups

Activities
Instructions
1. Review the example problems for use the area model for multiplication. 2. Identify the steps and strategies used. 3. Work through practice problems independently. 4. Compare solutions with a partner.
Materials Needed
  • Notebook
  • Calculator (if needed)
  • Graph paper
Practice Problems
1

3 × 4 = ___

Hint: Think: 3 groups of 4, or add 4 three times.
2

5 × 2 = ___

Hint: Think: 5 groups of 2.
3

There are 4 bags with 5 apples each. How many apples in all?

Hint: Multiply the number of bags by the apples in each.

Teaching Tip

For this age group: Balance direct instruction with collaborative activities. Allow students to explain their thinking and make connections to prior knowledge when exploring use the area model for multiplication.

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