Circular Reasoning

This Circular Reasoning activity & project also includes:

Examine the origin and application of pi in five different levels. The five lessons in the resource begin with an analysis of the relationship between the radius and circumference of a circle. The following lessons lead learners through the application of pi by comparing dimensions of tennis ball containers, wine barrels, and, finally, an examination of the origins of pi by Archimedes himself. The lessons build from upper elementary through the high school level. 

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Assign the set of lessons in a high school class during a pi day celebration
  • Bring in circular objects as reference and extend the investigation at each level to include a hands-on component
Classroom Considerations
  • Even the initial lesson requires a basic understanding of circle vocabulary
  • Includes student handout information for each level of the resource
  • Begins with an overview of the intent and contents of each lesson
  • None