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Lesson Plan

Understand why radical equations can have extraneous solutions by examining graphs

teaches Common Core State Standards CCSS.Math.Content.HSA-REI.A.2
teaches Common Core State Standards CCSS.Math.Content.HSA-REI.D.11

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Big Ideas: Solutions for radical equations can be found analytically and/or using tables and graphs, and the inverse relationship between square root and quadratic functions can be used to explain the notion of extraneous roots. In this lesson, students will solve a square root equation analytically and by graphing. While solving analytically, an equivalent quadratic equation is produced; graphing this quadratic equation reveals that although the quadratic equation is equivalent to the square root equation, it contains a solution which is an extraneous solution of the original quadratic equation. Special Materials: graph paper
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