# What relationship is it?

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.