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Lesson Plan

Solve an inequality with a negative coefficient by using the multiplication property of inequality

teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Content.7.EE.B.4b http://corestandards.org/Math/Content/7/EE/B/4/b
teaches Common Core State Standards CCSS.Math.Practice.MP2 http://corestandards.org/Math/Practice/MP2
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
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Big Ideas: When multiplying or dividing both sides by a negative number, you must either switch the expressions on either side, or reverse the direction of the inequality sign, in order to preserve the truth of the statement. This is called the Multiplication Property of Inequality. This lesson builds on students' knowledge of using properties of equality to solve two-step inequalities by introducing the Multiplication Property of Inequality. The task first investigates the conditions that cause an inequality statement to become untrue, leading into a discussion of how to preserve its truth by using the Multiplication Property of Inequality. Then students use this new understanding to attempt to make the solution of a “less than” inequality be only positive numbers. This builds toward students' future work in fluently solving two-step inequalities in grades 7 and 8. Vocabulary: Multiplication property of inequality Special Materials: none
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