Learning goals: Teacher Facing Given descriptions and graphs that represent two constraints, identify values that satisfy each constraint and those that satisfy both constraints simultaneously. Understand that the solution set of a system of inequalities in two variables is comprised of any pair of values that make both inequalities true, and that it is represented graphically by the region where the graphs overlap. Write systems of inequalities in two variables, use technology to graph the solutions, and interpret the solutions in context. Full lesson plan (warm-up, activities, synthesis, cool-down prompt) from Alg1.2 Linear Equations, Inequalities, and Systems, Algebra 1.