# What relationship is it?

- Author:
- Sybilla Beckmann

- Topic:
- Multiplication

1) Move the buttons and see what happens. Contemplate the following questions (you will return to them at the end):
How do you think A, B, and C might be related?
Do you think there is a relationship among A, B, and C that always holds, no matter how you move the buttons?
2) Move the buttons to the following values and find B in centimeters in each case:
A = 4 cm, C = 3 B = _____
A = 4 cm, C = 4.5 B = _____
A = 4 cm, C = 1.5 B = _____
A = 4 cm, C = 0.5 B = _____
A = 5 cm, C = 3 B = _____
A = 5 cm, C = 3.8 B = _____
A = 5 cm, C = 1.2 B = _____
A = 5 cm, C = 0.6 B = _____
3) Move the top button so that A = 10 cm. Predict what value for C would make B = 36 cm (you won’t be able to show this on the screen). Explain!
4) Move the top button so that A = 6 cm. Predict what value for C would make B = 33 cm (you won’t be able to show this on the screen). Explain!
5) Move the C button so that C = 3 and move the top button to several different values. What does the 3 tell you about A and B? The 3 is 3 whats?
6) Move the C button so that C = 2.5 and move the top button to several different values. What does the 2.5 tell you about A and B? The 2.5 is 2.5 whats?
7) Move the C button so that C = 1.2 and move the top button to several different values. What does the 1.2 tell you about A and B? The 1.2 is 1.2 whats?
8) Move the C button so that C = 0.5 and move the top button to several different values. What does the 0.5 tell you about A and B? The 0.5 is 0.5 whats?
9) Move the C button so that C = 0.8 and move the top button to several different values. What does the 0.8 tell you about A and B? The 0.8 is 0.8 whats?
10) Return to the questions in part 1 and answer them.