Lesson plan

6. Solve inequalities with negative coefficients (FP)

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
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Lesson objective: Solve multi-step inequalities in one variable with negative coefficients.

This lesson helps to build procedural skill with solving inequalities with negative coefficients. The number line is used here because it helps students to visualize the relationships and prepares them for graphing inequalities. This work develops students' understanding that inequalities can be solved using the same operations used to solve equations.

Students engage in Mathematical Practice 2 (Reason abstractly and quantitatively) as they use numerical examples to think through and develop understanding of the changes they must make to familiar procedures to find solutions to algebraic inequalities which have negative coefficients.

Key vocabulary:

  • coefficient
  • negating
  • operations
  • scale