# Lesson 9

Equivalent Equations and Functions

These materials, when encountered before Algebra 1, Unit 7, Lesson 9 support success in that lesson.

### Lesson Narrative

In this lesson, students find solutions to quadratic equations and recognize the solutions as $$x$$-intercepts of related functions then match equivalent equations. In the associated Algebra 1 lesson, students solve equations in factored form. Practicing finding equivalent equations and their solutions, gives students additional support before working with the Algebra 1 lesson. Explaining why equations are equivalent requires students to construct viable arguments and critique the reasoning of others (MP3).

### Learning Goals

Teacher Facing

• Recognize solutions to quadratic equations as $x$-intercepts

### Student Facing

• Let’s explore equivalent equations

### Required Preparation

Print and cut 1 copy for every 2 students from the blackline master for the cart sort activity.