Angles and Protractor: Estimate, Compare, and Build
Estimate angles by eye, compare them, measure them with a protractor, and build target angles.
Discover π: Newton, Generalized Binomial Series, and Slow Convergence
Advanced historical-mathematical simulation: estimate π from quarter-circle area using Newton’s generalized binomial expansion and integration, and see why this direct method converges painfully slowly.
All Simulations
Buffon’s Needle: how randomness helps estimate π
Advanced probability simulation of Buffon’s needle experiment: throw random needles onto parallel lines, watch crossings accumulate, and see how tosses divided by crossings approaches π.
Coordinates: Points, Symmetry, Transformations
Plot points, reflect shapes, and test transformations on the coordinate plane.