Sample CM Lesson Plan

Oregon Curriculum Network: A Digital Mathematics

Martian Math | Neolithic Math | Casino Math | Supermarket Math

Sample Lesson Plans (Casino Math)

Vegetable Group Soup

Objective Gain appreciation for the group properties of finite sets of permutations. Objective Understand that multiplication may be modulo some number (divide out the modulus, keep the reminder) Background Experience with Permutations or Mappings might begin through playing the data structures in an interactive window, or with colored tokens such as marbles. Paper and pencil are often used, with letters or other common icons or glyphs used to represent members of the set. Here we use Vegetables. Flash Exhibit You may want to turn down your speakers. There's an obnoxious sound track. Vegetable Group Soup: A Multiplication Table Pascal's Triangle Objective Understand Python generators retain state between iterations. Objective Understand an algorithm for iterating through successive rows of Pascal's Triangle. Background Pascal's Triangle is of core relevance to Martian Math, as well as to Casino Math. Here in Casino Math, we are aware off the Bell Curve of possible routes to the bottom row, should a falling ball randomly zig-zag this way and that on its way to the bottom. The statistical probability that it falls to the right every step of the way, thereby reaching the furthest right position, is quite unlikely, relative to finding some average way down, closer to the middle. Pascal's Triangle includes the triangular and tetrahedral numbers among its leftmost rows, taking us to the ball packings and polyhedral numbers of Martian Math. Source Code def pascal(): row = [1] while True: yield row row = [i + j for i,j in zip(row + [0], [0] + row)]