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Compound Inequalities Lesson Plan

Instructor: Tammy Galloway

Tammy teaches business courses at the post-secondary and secondary level and has a master's of business administration in finance.

This lesson plan explores calculating and graphing compound inequalities. Students will watch a video, participate in discussion questions, calculate problems, complete an activity, and take a quiz.

Learning Objectives

After this lesson students will be able to:

  • Define an inequality
  • Identify and calculate compound inequalities
  • Graph compound inequalities

Length

60 minutes

Curriculum Standards

  • CCSS.Math.Content.HSA.REI.B.3

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

  • CCSS.Math.Content.HSA.REI.D.12

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Materials

  • Hard copies of the How to Solve 'And' & 'Or' Compound Inequalities lesson and lesson quiz
  • Internet connectivity
  • Poster boards
  • Markers, crayons and colored pencils
  • Rulers
  • A worksheet created with the following inequality problems:
    • -1 + 5n > -26 and 7n - 2 <12
    • -10b + 3 < -37 or 3b - 10 < -25
    • 8x + 8 > -64 and -7 - 8x > -79
    • -1 - 10a < -1 or 10 + 3a < -5

Instructions

  • Begin this activity by asking students to write an equation with an equals sign. Allow students to share their responses. Then, tell students they are going to learn about inequalities equations.
  • Distribute copies of the How to Solve 'And' & 'Or' Compound Inequalities lesson and play the video. Pause at 2:22, then start the following discussion:
    • What is the main difference between a simple equation and an inequality equation?
    • Describe a compound inequality.
    • Compare and contrast a conjunction and disjunction.
  • Now resume the video and play until 4:43. Shoulder pair students and ask them to create a compound inequality problem.
    • After each pair has created a problem, ask them to trade their problem with another pair and solve.
    • Have all four students discuss the problems and solutions.
  • Reconvene the class and play the video until the end, then ask each shouldered pair to graph the problem they just solved.
  • Allow students to share their graphs.
  • Afterwards, distribute copies of the lesson quiz and require students to complete independently.

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