Estimations are not good enough for Sarah and Max. They want to know how diameter and circumference are connected! [br]Thankfully you can help with measurements![br][br]You need the six discs and the big ruler (30 cm).
MATERIAL: discs and big ruler
Take disc No. 1: measure the diameter first.[br]Use the ruler and pay attention that you measure right across the middle!
Put the ruler flat on the table.[br][br]Put disc no. 1 next to the ruler, so that the gap in the disc is positioned exactly next to the mark 0 cm.
gap next to 0cm unroll until gap is on the table again
Roll the disc along the ruler on the table until the gap is on the table again. [br][br]Now read from the ruler how far you have come. This is the circumference of the disc in cm. [br]
In this manner determine the diameter and circumference of all discs and write down the measurements like this (d1 = 5 cm, c1 = ... cm) (d2 = ..., c2 = ...) ... with d1, d2, ...being your measured diameters and c1, c2, ... your measured circumferences for disc no.1, 2, ...
Have a closer look at the pairs of values. Max and Sarah are sure that there is a correlation to discover. But how? [br][br]What do you discover? Make assumptions and write down your observations!
Sarah knows from her father: assumptions should be verified![br][br]Now with every pair of values divide the circumference by the diameter and write down the result like this:[br]c1/d1 = ..., c2/d2 = ..., ...
Now look at the results - do they match you assumptions? [br]If yes, find reasons why![br]Or do you find another correlation - then describe it![br][br]Form a final statement about the correlation.