Unknown Area Problems on the Coordinate Plane

Scholars determine distances on the coordinate plane to find areas. The lesson begins with a proof of the formula for the area of a parallelogram using the coordinate plane. Pupils use the coordinate plane to determine lengths to calculate the areas of a variety of figures. 

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Draw in auxiliary lines in color for class members who struggle with visualizing them 
Classroom Considerations
  • The class should know the formulas for calculating area
  • Pupils should know how to find the distance between two points on the coordinate plane with either the same x- or y-coordinate
  • 20th installment in a series of 28 lessons
  • Includes answers for problems used for instruction
  • Highlights where the mathematical practice appears in the lesson
  • None
Common Core