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Lesson 10.6a AIM: Variations on Linear Nim. DO NOW

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Page 1: Lesson 10.6a AIM: Variations on Linear Nim. DO NOW

Lesson 10.6aAIM: Variations on Linear Nim

Page 2: Lesson 10.6a AIM: Variations on Linear Nim. DO NOW

DO NOW

9000

15000=3

5

Page 3: Lesson 10.6a AIM: Variations on Linear Nim. DO NOW

Two Strategies for Linear Nim

The trick is to get the other opponent to have 4 marks when it is his/her turn.

1. You are the first player. Cross out two marks. No matter what the second player does - you can win!

2. You are the second player. Play follow the leader for the FIRST MOVE. You will also win!

Page 4: Lesson 10.6a AIM: Variations on Linear Nim. DO NOW

New Game: How to Play

1. You will start with 15 marks on the paper.

2. You will be able to cross out 1, 2, 3, or 4 marks.

3. The player to take the last mark(s) wins the game.

4. First test the strategies from yesterday, then test your own!