MATH CONNECTIONS – Audrey Powers Malagon The math class spent two weeks studying the infinite. They learned how to compare infinite sets using 11 correspondences instead of counting and proved that the set of even numbers is the same size as the set of all whole numbers and that there are as many numbers between 0 and 1 as there are on the whole number line. They proved that there are multiple (even infinite!) sizes of infinity and researched the mathematician who first made this discovery. In the second week they saw many applications of infinity, particularly infinite sequences and sums and how these have been used to calculate pi and develop calculus. They created infinitely detailed pictures, or fractals, and investigated the infinite monkey theorem and its applications to probability.

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