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
