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Estimating Pi with Random Sampling

Scatter random points in a square, count how many land inside a quarter circle, and use the ratio to estimate pi.

Grade 10Math ChallengeMathTechnologyProbabilityCodingGeometryData AnalysisIntermediate50 to 90 min5 materials

What you'll learn

  • Relate area ratio to probability
  • Run a simulation and record results
  • Explain how sample size affects accuracy

Objective

Use random sampling, by hand or with code, to estimate pi, and study how accuracy improves with more samples.

STEM concepts

Monte Carlo methodsSimulationLaw of large numbersComputational thinking
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Step-by-step instructions
Prediction, test sheet and results
Why does it work, challenge and project report

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