MA19.8A.21

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.21
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, using technology where appropriate. [Algebra I with Probability, 20]

Unpacked Content

Knowledge

Students know:

When to include and exclude the boundary of linear inequalities.
Techniques to graph the boundaries of linear inequalities.
Methods to find solution regions of a linear inequality and systems of linear inequalities.

Skills

Students are able to:

Accurately graph a linear inequality and identify values that make the inequality true (solutions).
Find the intersection of multiple linear inequalities to solve a system.
Use technology to graph inequalities and systems of inequalities.

Understanding

Students understand that:

Solutions to a linear inequality result in the graph of a half-plane.
Solutions to a system of linear inequalities are the intersection of the solutions of each inequality in the system.

Vocabulary

Half-planes
System of linear inequalities
Boundaries
Closed half-plane
Open half-plane

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