SET YOUR MATH BRAIN IN MOTION!
Both the Galton Board and the superimposed Pascal’s Triangle incorporate many related mathematical, statistical and probability concepts. Can you spot them all?
In the Galton Board you may see the Gaussian curve of the normal distribution or bell-shaped curve, the central limit theorem (the de Moivre-Laplace theorem), the binomial distribution (Bernoulli distribution), regression to the mean, probabilities such as coin flipping and stock market returns, the law of frequency of errors, and what Sir Francis Galton referred to as the “law of unreason.”
Within Pascal’s Triangle, you will find mathematical properties and patterns including prime numbers, powers of two, Magic 11’s, Hockey Stick Pattern, triangular numbers, square numbers, binary numbers, Fibonacci’s sequence, Catalan numbers, binomial expansion, fractals, Golden Ratio, and Sierpinkski’s Triangle.