Perimeter and Area of Polygonal Regions Defined by Systems of Inequalities

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. 

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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
Cons

  • None
Common Core