 Lesson plan

# Lesson 9: Equivalent Equations and Functions

teaches Common Core State Standards HSA-REI.B.4.b http://corestandards.org/Math/Content/HSA/REI/B/4/b
teaches Common Core State Standards MP3 http://corestandards.org/Math/Practice/MP3

# Lesson 9: Equivalent Equations and Functions

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).

Lesson overview

• 9.1 Warm-up: More Equivalent Equations (5 minutes)
• 9.2 Activity: Finding Solutions and Functions (20 minutes)
• 9.3 Activity: Card Sort: Matching Equations (15 minutes)

Learning goals:

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

Learning goals (student facing):

• Let’s explore equivalent equations.

Required materials

• Pre-printed slips, cut from copies of the blackline master

Standards:

• This lesson builds towards the standards:CCSS.HSA-REI.B.4.bMS.A-REI.4bMO.A1.REI.A.2c

IM Algebra 1, Geometry, Algebra 2 is copyright 2019 Illustrative Mathematics and licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.