Unit 34: Functions and Representations

Day 22 of 30

Writing equations from graphs

6-8Mathematics

Content is AI-assisted and continuously improved through educator review

Learning Objective

Students will write equations from graphs through guided practice and application.

Today's Lesson

In this lesson, we'll explore writing equations from graphs. Mathematical thinking develops logical reasoning and problem-solving abilities.

An equation is a mathematical statement that says two expressions are equal. It always has an equals sign (=). For example: 5 + 3 = 8 or x + 4 = 10. When an equation has a variable (like x), solving it means finding what number makes both sides equal. Equations are like balanced scales—what you do to one side, you must do to the other to keep it balanced!

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 writing equations from graphs. 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

Solve for x: x + 7 = 15

Hint: Subtract 7 from both sides.
2

Solve for y: 3y = 12

Hint: Divide both sides by 3.
3

If 2x - 5 = 9, what is x?

Hint: Add 5 to both sides, then divide by 2.

Teaching Tip

For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply writing equations from graphs to novel situations.

AI Tutor

Get instant help with this lesson. Ask questions and receive personalized explanations from your AI tutor.