The mathematical purpose of this lesson is for students to familiarize themselves with situations that involve constraints. In previous lessons, students have written equations to represent situations and examined points on or off lines out of context. This lesson builds on that understanding by asking students to consider whether points off the line are reasonable in the context given. This will support students when they need to make sense of the situations they will encounter in their Algebra 1 class that involve inequalities, and the mathematical structures underlying situations with constraints.

Students have an opportunity to reason abstractly and quantitatively (MP2) as they make sense of constraints in situations as well as constraints represented by graphs and inequalities.