Circle Reasoning

Derive the equation of a circle using the Pythagorean Theorem. Pupils then use the equation to graph circles on a coordinate plane. Their final activity provides information about a circle such as an equation, center, radius, or two points, and then asks learners to find the missing information.

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CCSS: Designed
Instructional Ideas

  • Have pupils draw their own circle of any size on graph paper using a compass; measure the length of the radius using a ruler to create an equation
  • Use the summative assignment as board work to check for understanding efficiently
Classroom Considerations

  • Requires a proficiency with using the Pythagorean Theorem and/or distance formula
Pros

  • Includes all handouts and answer keys
  • Provides an opportunity to practice the steps that lead to writing the equation of a circle
Cons

  • None
Common Core