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FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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LESSON GOALS • Solve linear equations with variables on both sides. • Simplify equations with variables on both sides before solving. FLORIDA STANDARDS • MAFS.8.EE.3.7b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. • MMAFS.K12.MP.3.1 Construct viable arguments and critique the reasoning of others. PACING One class period, approximately 60 minutes CONTENT BACKGROUND In previous lessons, students have applied inverse operations and the properties of equality to solve equations. The same tools and strategies will be applied as they solve equations that have variables on both sides of the equals sign. Students will use inverse operations to rearrange the terms of the equation to create an equivalent equation with all variable terms on the same side of the equals sign. Then they will simplify, or combine like terms, in order to transform the equation into a simpler equivalent equation, analogous to the equations that they have solved before. As students further develop their ability to work with and solve equations with variables on both sides of the equals sign, they will be able to apply those skills to solve real-world problems throughout mathematics. The same skill is also frequently used to solve geometry problems, like finding the value of an angle in a diagram. MATERIALS • reference Guide pages 75–79 • Practice Activity book pages 48–51 • Overview and Toolkit presentations Use this guide to accompany Lesson 2.10, Semester A. Variables on Both Sides of an Equation 102 VArIAbLES On bOTH SIDES Of An EqUATIOn

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