# Teaching

### Site Tools

spcs:winter2014:math:day1

# Monday - Day 1

Introduction

• Go over the schedule
• Go over the rules and sign contract
• Ice breaker

Decorate Notebooks

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

Permutations and Combinations

• Go over the problems

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

• 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? 