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There are many interesting and important mathematical ideas that fall outside the traditional high school math track. Mathcraft explores these topics, including enumeration methods, computer arithmetic, artificial intelligence, probability, networks, and more. The course uses hands-on activities, group problem-solving, and games to develop each student's ability to creatively attempt to solve problems.
Mathcraft is a one semester, 0.5 credit course which can fulfill 1/2 of the 4th year math requirement. Mathcraft has these goals:
- Practice mathematical reasoning.
- Engage in problem solving as a social activity.
- Discover recreational math.
- Discover connections between branches of mathematics.
- Along the way, further develop fluency and number sense, without calculators!
- Learn how to feel good about and enjoy your mathematical abilities.
- Study the bubble calculator. What do you think it means, and how can you use it?
- Play the factor game
- Watch Vi Hart's Doodling in Math Class: Snakes & Graphs
There are two choices. You may do either, or both.
- Create mathematically-inspired doodles. When complete, put your doodles in your red binder. Colored pencils are available.
- Play Perudo, aka Liar's Dice
If you want to watch them again, the Vi Hart videos are here:
- A trick with sum of a list of numbers, revisited.
- Boys vs. Girls in the Lineup game.
- A game for two: single row Nim.
- Revisit: Boys vs. Girls in the Lineup game. Why?
- Revisit: Single row Nim. Refine your strategy.
- Ratios of Fibonacci numbers.
- The continued fraction
- Single rook chess.
- As a class: You have 50 coins, one of which is counterfeit, and a balance scale. The coins look identical, and have identical mass except for the counterfeit which is slightly heavier. How many weighings on the scale are required to find the counterfeit?