Week at a Glance

Learning Objectives

By the end of the lesson, students will be able to:

1. Identify the operations needed to solve a linear equation.

2. Use inverse operations to isolate a variable.

3. Solve one-step and multi-step linear equations.

4. Check solutions by substituting the answer back into the original equation.

5. Explain why the same operation must be performed on both sides of an equation.

Essential Question

How can inverse operations be used to solve a linear equation?

Key Vocabulary

• Equation

• Variable

• Coefficient

• Constant

• Inverse operations

• Solution

• Equivalent equations

A.REI.1 — Explain Each Step in Solving an Equation
Students explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step.

A.REI.3 — Solve Linear Equations and Inequalities
Students solve linear equations and inequalities in one variable, including equations with variables on both sides and equations requiring the use of the distributive property.

A.REI.10 — Understand Equations as Relationships
Students understand that the solutions of an equation are the points whose coordinates make the equation true.