Analyzing Puzzles and Games

On Friday, in class we discussed more about analyzing puzzles and games in section 1.7. the goal of this section was to determine, explain, and verify a reasoning strategy to solve a puzzle or to win a game. We looked at example one which was on using reasoning to determine possible winning plays in a game of darts. example two was on using deductive and inductive reasoning to determine a winning strategy while playing the toothpick game. We discussed Alice's solution into winning the game every time. Alice discovered in order to win she must leave Nadine 3, 6, 9, 15, or 18 toothpicks. This strategy will work and Alice will win every time and long as she goes first.
In summary: Both inductive and deductive reasoning can be useful for determining a strategy to solve a puzzle or win a game. Inductive reasoning is useful when analyzing games and puzzles that require recognizing patterns or creating a particular order. Deductive reasoning is useful when analyzing games and puzzles that require inquiry and discovery to complete.

we ended class with an assignment on page 55. #5,6,7,9,11

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