Unit 33: Systems of Linear Equations

Day 13 of 30

Introduction to elimination method

6-8Mathematics

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Learning Objective

Students will understand elimination method through guided practice and application.

Today's Lesson

In this lesson, we'll explore introduction to elimination method. Mathematical thinking develops logical reasoning and problem-solving abilities.

Elimination is a method for solving systems by adding or subtracting equations to eliminate one variable. Steps: 1) Line up equations. 2) Multiply one or both equations to get opposite coefficients for one variable. 3) Add or subtract equations to eliminate that variable. 4) Solve for the remaining variable. 5) Substitute back to find the other. Example: x + y = 5 and x - y = 1 → add them → 2x = 6 → x = 3 → substitute → y = 2. Elimination is powerful when coefficients align nicely!

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 introduction to elimination method. 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

Teaching Tip

For advanced learners: Encourage deeper analysis and real-world connections. Consider extension activities that allow students to apply introduction to elimination method to novel situations.

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