First, students will learn how to plot one-variable inequalities, such as \(x \gt 3.\) They'll also learn how to find one-variable inequalities from graphs.

Watch these Khan Academy videos:

Do these Khan Academy exercises:

Next, students will learn how to model one-variable inequalities from word problems. They'll learn that such inequalities have infinitely many solutions, and how to plot the solutions on the number line.

Inequalities word problems by Khan Academy

Inequalities word problems by Khan Academy

Next, give your students these challenges:

- Zios and Zepts by NRICH
- 2017 Math Kangaroo Levels 1-2 Problem #16 by STEM4all

Conclude by leading this investigation:

Unfair Thrones

by MathPickle

6.EE.B.8: Write an inequality of the form *x* > *c* or *x* < *c* to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form *x* > *c* or *x* < *c* have infinitely many solutions; represent solutions of such inequalities on number line diagrams.