Exploring Geometric Probabilities with Buffon’s Coin Problem

This Exploring Geometric Probabilities with Buffon’s Coin Problem lesson plan also includes:

Scholars create and perform experiments attempting to answer Buffon's Coin problem. They discover the relationships between geometry and probability, empirical and theoretical probabilities, and area of a circle and square.

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CCSS: Designed
Instructional Ideas

  • Using the same size grid, experiment with different-sized coins to see if the results change
  • Using the same size coins, try using different size grids (both larger and smaller boxes) and observe any differences
Classroom Considerations

  • Relies on prior knowledge of area formulas, probability, proportion, and simulations
Pros

  • Links to online resources for many extension ideas
  • Allows for multiple ways to teach the same topic—hands-on, virtual experiment, analysis only, etc.
Cons

  • None
Common Core