# Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities

##### This Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities lesson plan also includes:

When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of the quadrilateral.

CCSS: Designed

##### Instructional Ideas

• Assign each of the first two examples to different sides of the room; choose a pupil from each side to present findings
##### Classroom Considerations

• Builds from the previous two lessons in the series
• Review finding intersection points of a system of inequalities
• An extension of the previous lessons in this series of 15 lessons
##### Pros

• Lesson design promotes discovery and finding connections
• Provides tasks for each part of the lesson; includes answer keys and teaching instructions

• None