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A PI-Day Activity Let’s do . Cutting π Materials Circular object (ball); string; scissors; tape To Do and Notice Carefully wrap string around the circumference.

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Presentation on theme: "A PI-Day Activity Let’s do . Cutting π Materials Circular object (ball); string; scissors; tape To Do and Notice Carefully wrap string around the circumference."— Presentation transcript:

1 A PI-Day Activity Let’s do 

2 Cutting π Materials Circular object (ball); string; scissors; tape To Do and Notice Carefully wrap string around the circumference of your circular object. Cut the string when it is exactly the same length as the circumference. Now take your “string circumference” and stretch it across the diameter of your circular object. Cut as many “string diameters” from your “string circumference” as you can. How many diameters could you cut? Compare your data with that of others. What do you notice?

3 What’s Going On? This is a hands-on way to divide a circle’s circumference by its diameter. No matter what circle you use, you’ll be able to cut 3 complete diameters and have a small bit of string left over. Estimate what fraction of the diameter this small piece could be (about 1/7). You have “cut pi,” about 3 and 1/7 pieces of string, by determining how many diameters can be cut from the circumference. Tape the 3 + pieces of string onto paper and explain their significance DOING PI

4 A Brief History of π Pi has been known for almost 4000 years—but even if we calculated the number of seconds in those 4000 years and calculated pi to that number of places, we would still only be approximating its actual value. Here’s a brief history of finding pi: The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. One Babylonian tablet (ca. 1900–1680 BC) indicates a value of 3.125 for pi, which is a closer approximation. The Rhind Papyrus (ca.1650 BC) gives us insight into the mathematics of ancient Egypt. The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for pi. Read more about  at http://www.exploratIorium.edu/learning_studio/pi/

5 And now for our PI-Day Panel Discussion...


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