Graphing Inequalities

8th GradeMath45 min

aligned to Ccss Hsa-rei.d.12

Learning Objective

I can graph two-variable inequalities on a coordinate plane and identify the solution set.

Lesson Flow

Watch Video

9 min

Introduction to graphing inequalities | Two-variable linear inequalities | Algebra I | Khan Academy

Khan Academy

Guided Notes

9 min

Key concepts students will learn:

  • To graph the inequality y ≤ 4x + 3, first graph the line y = 4x + 3, noting the y-intercept is 3 and the slope is 4, then shade the area below the line.

  • When graphing y > –x/2 – 6, graph the line y = –x/2 – 6 as a dashed line to show that the line itself is not included in the solution.

  • The solution set of an inequality includes all the points on the coordinate plane that satisfy the inequality, which can be a region above or below a line.

Practice

14 min

8 questions • Multiple choice & Short answer

Exit Ticket

5 min

Graph the inequality y > 2x - 1 on a coordinate plane. Indicate whether the line should be solid or dashed, and shade the appropriate region.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts