Lesson plan

Fluently solve two-step inequalities and represent their solutions by graphing them on a number line

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.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Big Idea: Fluency with solving inequalities includes understanding inverse operations, knowing when the multiplication property of inequality applies, and how to graphically show solutions. This lesson builds on students' knowledge of writing and solving two-step inequalities. The task asks students to create four inequalities, using given rational numbers and the forms p(x + q) < r and px + q < r, such that when the solution sets are graphed on two number lines, every value is covered. Students will need to apply their knowledge of the properties of equality and inequality to their developing number sense in order to craft the solutions they need. This builds toward students' future work in solving multi-step and compound inequalities in grades 8. Vocabulary: solution set, graph of a solution set Special Materials: Task handout (optional)