1. Using Math Manipulatives To Teach For Understanding Problem Solving With Manipulatives Or Is That A Pattern I See? Mel Twitchell, Provo School District

2. Use the tooth picks you have been given to construct the figure shown below. This represents one toothpick. We have constructed a box using four toothpicks.

3. Use the tooth picks you have been given to construct the figure shown below. The perimeter of this box is made by four toothpicks. We will call the perimeter 4. We will measure the perimeter by counting the toothpicks in the perimeter.

4. Use the tooth picks you have been given to construct the figure shown below. The box we have made with four toothpicks will be called figure one (1). We will call the area of this figure, one unit meaning, one square unit. The perimeter is four toothpicks and the area is 1 square unit.

5. Use the tooth picks you have been given to construct the figure shown below. This will represent figure two. What is the perimeter? 1 23 4 5 6 7 8 8

6. Use the tooth picks you have been given to construct the figure shown below. This will represent figure two. What is the perimeter? What is the area? 8 1 2 3 3

7. Use the tooth picks you have been given to construct the figure shown below. This will represent figure two. What is the perimeter? What is the area? How many total toothpicks? 8 3 1 23 4 5 6 7 8 9 10

8. Use the tooth picks you have been given to construct the figure shown below. Figure 3. Find: Perimeter 12 1 2 3 4 5 6 7 8 9 10 11 12

9. Use the tooth picks you have been given to construct the figure shown below. Figure 3. Find: Perimeter Area 12 1 23 4 56 6

10. Use the tooth picks you have been given to construct the figure shown below. Figure 3. Find: Perimeter Area Number of toothpicks 12 6 1 23 4 5 6 7 89 10 11 12 13 14 15 1617 18

11. Figure 4 Area = ? Perimeter = ? Number of Toothpicks = ? 10 16 28

12. Is There A Pattern? Figure Number PerimeterArea Number of Toothpicks 12345671234567 4 14

13. Is There A Pattern? Figure Number PerimeterArea Number of Toothpicks 12345671234567 4 14 8 12 16 20 24 28 n4n 3 6 10 15 21 28 n(n+1) 2 10 18 28 40 54 70 n(n+3) = 1*4 = 2*5 = 3*6 = 4*7 = 5*8 = 6*9 = 7*10