1. | | Construct an equilateral triangle using the toothpicks.
Record by drawing on your answer sheet. |
2. | Using the toothpicks, construct another equilateral triangle that has sides that are twice as long as your first triangle.
Record by drawing on your answer sheet. |
3. | Repeat number 2 making the triangle still larger.
Record by drawing on your answer sheet. |
4. | Examine the relation between the number of toothpicks on one side with the number of toothpicks in the perimeter. |
5. | Write an expression to represent the number of toothpicks on any one side in terms of the number of toothpicks making up the perimeter of the triangle. |
6. | Repeat 1 to 5 constructing squares. |
7. | a) | Write an expression to represent the number of toothpicks on any one side in terms of the number of toothpicks making up the perimeter of the square. |
| b) | How does this compare to your answer in #5? |
8. | Repeat 1 to 5 constructing hexagons. |
9. | a) | Write an expression to represent the number of toothpicks on any one side in terms of the number of toothpicks making up the perimeter of the hexagon. |
9. | b) | How does this compare to your answer in #5 and 7b? |