Graphing Linear Inequalities

Taught by MrRutter
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Meets NCTM Standards:
Lesson Summary:

In this lesson, students learn how to graph and shade linear inequalities in the coordinate plane. They start by understanding how to identify the boundary and then decide whether it's solid or dashed. Next, they test a point to determine the side of the line to shade, either above or below. The teacher emphasizes that the simplest point to use would be (0,0) unless it falls on the line. The lesson concludes with a reminder to always shade the side that makes the inequality true.

Lesson Description:

Graphing and shading linear inequalities in the coordinate plane.

Questions answered by this video:
• How do you graph inequalities on a coordinate plane?
• How do you graph and shade x - 2y < 4?
• How do you graph a line in standard form?
• How do you know whether the boundary line to an inequality is solid or dashed?
• What does it mean for a line in an inequality to be solid or dashed?
• How do you know which side of the line to shade in an inequality?
• How do you know what points to pick to decide where to shade an inequality?
• How does plugging in (0, 0) tell you which side to shade on an inequality?
• Staff Review

• Currently 4.0/5 Stars.
This lesson shows one example of graphing and shading an inequality in the coordinate plane. All concepts involved with graphing and shading the inequality are explained.