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More Accurate - Team E

Estimations are not good enough for Sarah and Max. They want to know how diameter and circumference are connected! Thankfully you can help with measurements! You need the six discs and the big ruler (30 cm).
MATERIAL: discs and big ruler
MATERIAL: discs and big ruler

Take disc No. 1: measure the diameter first. Use the ruler and pay attention that you measure right across the middle!

Put the ruler flat on the table. 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
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. Now read from the ruler how far you have come. This is the circumference of the disc in cm.

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? What do you discover? Make assumptions and write down your observations!

Sarah knows from her father: assumptions should be verified! Now with every pair of values divide the circumference by the diameter and write down the result like this: c1/d1 = ..., c2/d2 = ..., ...

Now look at the results - do they match you assumptions? If yes, find reasons why! Or do you find another correlation - then describe it! Form a final statement about the correlation.