Day+18

=18...**Euclid's Game**=

Let the students know that it is the player who makes the last available move is the winner.
 * Important!**

**Example:** Player 1 Chooses 3, Player 2 Chooses 15, Player 1 Chooses 12, Player 2 chooses 9. Player 1 chooses 6. There are no further numbers are available. Therefore, player 1 is the winner.

 * Tip:** Students can make the game more interesting/challenging by choosing a new set of numbers, while keepiing the numbers from the previous round.


 * Tip**: For students who have difficulty subtracting, modify the numbers chart by using a maximum of 30 rather than 100.


 * Strategy**: Whomever chooses the higher number on the onset, no other number will be greater than the highest number initially chosen. See example above where the higest number chosen is initially is 15. All the other numbers are less than 15.

=﻿The Golden Ratio=