A synopsis of the day:
We were given ample time to thoroughly complete and review our previous assignment. This section helped improve our ability to decide whether to use inductive, deductive, or both types of reasoning on certain problems.
An example of one of the problems in our assignment is as follows:
Use inductive reasoning to determine the number of diagonals that can be drawn in a decagon.
Since we are limited to inductive reasoning, we must first illustrate a specific polygon and then form a pattern, of which can be applicable for a plausible conjecture.
Just look at that craftsmanship.
We can determine that a pentagon will have 5 diagonals. If we looked at a picture of a hexagon, we would see that it will have 9 diagonals; a heptagon, 14. We notice that as the number of sides increase, we increase the addend by an increment of 1 each time. If we follow that pattern, then our conjecture would have to be that a decagon will have 35 diagonals.
After reviewing the assignment, we proceeded to briefly start section 1.7. This section shows that finding a strategy to solve a puzzle or win a game can be achieved via both inductive and deductive reasoning.
We then investigated the math by trying to solve a leapfrog problem. The lowest amount of moves needed to solve the game with 3 pieces on each side was 15; with 2 pieces 8; and with 5 pieces 24.
That was the conclusion of our lesson. Our assignment for Friday is pg. 55 (5, 6, 7, 9, 11).
The next person writing the blog shall be Taryn.
No comments:
Post a Comment