A-REI.4.12

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

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Formative Assessments
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Students are asked to graph a system of two linear inequalities.
Graph a System of Inequalities
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Students are asked to graph a strict (< or >) linear inequality in the coordinate plane.
Graphing Linear Inequalities
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Students are asked to graph all solutions for a non-strict (≥ or ≤ ) linear inequality in the coordinate plane.
Linear Inequalities in the Half-Plane
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Hook/Performance Tasks
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This task is the last in a series of three tasks that use inequalities in the same context at increasing complexity in 6th grade, 7th grade and in HS algebra. Students write and solve inequalities, and represent the solutions graphically.
Fishing Adventures 3
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The typical system of equations or inequalities problem gives the system and asks for the graph of the solution. This task turns the problem around. It gives a solution set and asks for the system that corresponds to it. The purpose of this task is to give students a chance to go beyond the typical problem and make the connections between points in the coordinate plane and solutions to inequalities and equations. Students have to focus on what the graph is showing. When you are describing a region, why does the inequality have to go one way or another? When you pick a point that clearly lies in a region, what has to be true about its coordinates so that it satisfies the associated system of inequalities?
Solution Sets
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