Unit 34: Functions and Representations

Day 11 of 30

Representing functions: verbal descriptions

6-8Mathematics

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Learning Objective

Students will explore representing functions and verbal descriptions through guided practice and application.

Today's Lesson

In this lesson, we'll explore representing functions: verbal descriptions. Mathematical thinking develops logical reasoning and problem-solving abilities.

Representing a number means showing it in different ways. You can represent 15 with: numerals (15), words (fifteen), pictures (15 dots), base-ten blocks (1 rod and 5 units), or on a number line (point to 15). Using different representations helps you understand what the number means. When you solve problems, choose the representation that makes the most sense for that problem!

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
Problem

A mathematical question requiring analysis and solution

Solution

The result obtained by solving a problem

Activities
Instructions
1. Review the example problems for representing functions: verbal descriptions. 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

If f(x) = 3x + 2, find f(4)

Hint: Substitute 4 for x.
2

Is the relation {(1,2), (2,3), (1,4)} a function?

Hint: Check if any x-value repeats with different y.
3

If f(x) = x² - 1, find f(-2)

Hint: Substitute -2 for x. Remember (-2)² = 4.

Teaching Tip

For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply representing functions: verbal descriptions to novel situations.

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