spcs:winter2014:math:day1

Introduction

- Go over the schedule
- Go over the rules and sign contract
- About me
- Ice breaker

Decorate Notebooks

- Make sure they are right-side up
- Write a personal bio

Permutations and Combinations

- Go over the problems

http://www.mathsisfun.com/combinatorics/combinations-permutations.html

Permutations: How many rainbows can you draw with these colors (red, orange, yellow, green, blue)? Each rainbow can only have 3 colors, no repeated colors.

Where n is the number of things to choose from, and you choose r of them (No repetition, order matters) n!/(n-r)!

Permutations with Repetition: Each passcode is 5 numbers long. How many passcodes are possible?

n^r

Combinations: How many ways can a group of three students be selected from a class of 21 students?

(21!)/(18!)(3!) = 1330 "n choose r" Where n is the number of things to choose from, and you choose r of them (No repetition, order doesn't matter)

Combinations with Repetition: You get 4 scoops of ice cream, how many different combinations can you make from Chocolate, Vanilla, and Strawberry?

"(n + r - 1) choose r"

Game Theory

- Story: Prisoner's Dilemma : Activity

- Rock Paper Scissors
- Dominant Strategy

Games

- counterfeit coins: https://www.dropbox.com/s/y4x62yr6aenfs1h/Math%20Puzzles%20and%20Games.ppt
- divide in groups of 4
- bean game
- x&o game
- hex game

Writing Time

- What are your best strategies for each game?
- Which games are similar? How?
- What is the prisoner's dilemma?
- What did you do today?

/soe/sherol/.html/teaching/data/pages/spcs/winter2014/math/day1.txt · Last modified: 2014/01/05 20:57 by ffpaladin