This will serve as an introduction to graphing linear inequalities on the coordinate plane. Students should have prior knowledge of graphing coordinate points and a line from slope-intercept form.
Students will receive a coordinate point to substitute into an "inequality." They will simplify the expression and then determine if they should complete the inequality with a greater than symbol, a less than symbol, or an equal sign. If they have a greater than sign, they will graph the coordinate point on the board in red. If they have a less than sign, they will graph the point in blue. If they have an equals sign, they will graph the point in black. All red points should be above the line, all blue points below it, and all the black points on the line.
While graphing, students should complete the accompanying worksheet. At the end of the session, students should make a conclusion about graphing and shading linear inequalities. They should conclude that y> means you shade above the line, and a y< means you shade below the line.