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.

Syllabus:

- 2014-01-30
- Introduction to kenken
- Fluency
- Introduction to
*short division* - Refresher on factor trees

- 2014-02-04
- KenKen warmup and
*short*division warmup (review what we learned last time) - Fluency
- Guided notes on factoring

- KenKen warmup and
- 2014-02-06
- 2014-02-11
- Practice KenKen, short division, factor tree
- Using your factor tree to find greatest common factors
- Fluency
- Magic card sorting trick
- Guided notes on binary number system
- Human digital computer

- 2014-02-13
- 2014-02-18
- Warmup and LCM (least common multiple)
- MÃ¶bius strips
- Fluency
- Guided notes on modular arithmetic
- Introduction to casting out 9s

- 2014-02-20
- Warmup with modular math
- Vi Hart video and hexaflexagons
- Fluency
- More on casting out 9s

- 2014-02-25
- Warmup with modular and binary arithmetic
- Guided logarithm notes
- Fluency using
*modulus*and*modulo 9*practice - Discuss big numbers
- Fluency using
*logarithm*s

- 2014-02-27
- Warmup modular, binary, and logarithms
- Complete guided logarithm notes
- Fluency using
*logarithm*practice - Discuss big numbers

- 2014-03-11
- Warmup modular, binary, logarithms, and the partitioned plane problem.
- Fluency using
*logarithm*practice - Complete guided logarithm notes

- 2014-03-13
- Warmup
- Watch Vi Hart's doodling videos:
- 30 minutes: Create your own doodles.

- 2014-03-18
- 2014-03-18
- 2014-03-25
- 2014-03-27

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:

- 2014-04-01
- 2014-04-03
- Warmup
- The Digit Sum Game.

- 2014-04-08
- Warmup
- Pick a whole number with at least two non-zero digits. Rearrange the digits to form a new number. Find the difference between these two numbers. Remove a digit. Show the result to Mr. B, and ask what digit was removed.
- The Magic Octagon.
- What are
*groups*in mathematics?

- 2014-04-10
- Warmup
- Complete discussion of
*groups*. - A Dissection Paradox
- Archimedes and the area of a circle.

- 2014-04-22
- Warmup
- A trick with sum of a list of numbers.
- More Puzzles.

- 2014-04-24
- 2014-04-29
- 2014-04-29
- Warmup
- A trick with sum of a list of numbers, revisited.
- Boys vs. Girls in the Lineup game.
- A game for two: single row Nim.

- 2014-05-01
- Warmup
**Revisit**: Boys vs. Girls in the Lineup game. Why?**Revisit**: Single row Nim. Refine your strategy.

- 2014-05-06
- Warmup
- Ratios of Fibonacci numbers.
- The continued fraction

- 2014-05-08
- Warmup
- Single rook chess.

- 2014-05-13
- Warmup
- 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?

- 2014-05-15
- 2014-05-20
- Puzzles.
- Traveling on Euler paths.

- 2014-05-22
- 2014-05-29
- 2014-06-03
- 2014-06-05