April 17, 2015

Students recognize and identify solutions to two-variable inequalities. They represent the solution set graphically. They create two variable inequalities to represent a situation.

Students understand that a half-plane bounded by the line ax + by = c is a visual representation of the solution set to a linear inequality such as ax + by < c. They interpret the inequality symbol correctly to determine which portion of the coordinate plane is shaded to represent the solution.

Teacher and Student versions of full lesson from engageNY

- Mathematics > General
- Mathematics > Algebra

- Grade 9
- Grade 10

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

Look for and express regularity in repeated reasoning.

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.