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FLORIDA Pre-Algebra Teacher’s Guide Vol. A

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LESSON GOALS • Determine whether an ordered pair is a solution to a system of linear equations. • Explain why an ordered pair is or is not a solution to a system of linear equations. FLORIDA STANDARDS • MAFS.8.EE.3.8a. understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. PACING One class period, approximately 60 minutes CONTENT BACKGROUND Students have learned that an ordered pair is a solution for an equation if substituting its values into the equation results in a true statement (identity). Students now extend this idea to systems of equations. For an ordered pair to be a solution of a system of equations, it must result in an identity when it is substituted into each equation in the system. Students will substitute ordered pairs into systems of equations and will learn that a system of equations may have 0, 1, or infinitely many ordered pairs that are solutions. They will also learn systematic and efficient methods of finding the solution of a system if it exists. MATERIALS • reference Guide pages 174–176 • Practice Activity Book pages 140–144 • overview and Toolkit presentations KEYWORDS Students can preview definitions of keywords hyperlinked throughout the lesson. • solution of a system of linear equations • system of linear equations Use this guide to accompany Lesson 5.02, Semester A. Systems of Linear Equations 236 SYSTEMS of LINEAr EquATIoNS

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