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Calculating the area under the curve
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Classroom Contents
Pi Revealed in a Pile of Toothpicks
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- 1 Happy Pi Day 2023!
- 2 Introduce Buffon's Needle
- 3 Unpack the math
- 4 Let toothpick fall at an angle
- 5 The probability that the toothpick crosses the border
- 6 Uniform probability density function
- 7 Illustrate the probablity with a graph
- 8 Approximating the value of Pi
- 9 Calculating the area under the curve
- 10 Resources for Buffon's Needle
- 11 Start Coding
- 12 Draw vertical lines
- 13 Add a toothpick
- 14 Draw background in setup
- 15 We have to use the built-in value of Pi
- 16 Find the closest column
- 17 Determine if the toothpick intersects the column
- 18 Rotate the line relative to the y-axis
- 19 Draw the toothpick as a vertical line
- 20 Improve the visuals
- 21 Approximate the value of Pi using the probility that a toothpick intersects a column
- 22 Suggestions for variations
- 23 New Passenger Showcase page on the Coding Train website
- 24 Easter egg
