Unit 31: Algebraic Expressions and Variables

Day 14 of 30

Multiplication of expressions by constants

6-8Mathematics

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Learning Objective

Students will explore multiplication of expressions by constants through guided practice and application.

Today's Lesson

In this lesson, we'll explore multiplication of expressions by constants. 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
Multiplication

Repeated addition of equal groups

Problem

A mathematical question requiring analysis and solution

Activities
Instructions
1. Review the example problems for multiplication of expressions by constants. 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 advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply multiplication of expressions by constants to novel situations.

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