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GeoGebraGeoGebra Classroom

A Picture Tells A Thousand Words - Team A

It is still not easy for Max and Sarah to imagine how the measured values are correlated. Max' Mama suggests: "A picture is always helpfull." A Graph are the points and/or the conneting line in the coordinate system. It gives a picture of the corrleation. Tick the box „Messpunkte“ in the simulation Circle. Now your measurements (diameter, circumference) from the animation in the left plane appear in the coordinate plane on the right.

Circle

That looks like a regularity, abut what do you detect? Describe!

Tick the box "Trendlinie" in the simulation Circle connect the points. This graph makes Sarah and Max think… What does it tell us about the correlation?

Such a graph can be described well with words. Give reasons why these words are suitable to describe your graph in the simulation: a) increase      b) steady     c) straight

Now bring together Sarahs sentence on the correlation between diameter and circumference in task 8 and the description of the graph in the previous task and formulate a summary statement.

Well done! Now you can calculate the length of the rope needed. Sarah and Max have to tie it three times around the trunk (diameter: 40 cm). Two branches (daimeter: 18 and 21 cm) need a double wrapping. Another branch has to be circled only once (diameter 16 cm). They calculate additional 40 cm of rope for each knot. Write down your calculation here:

DONE with the wooden discs!!! Just tidy up quickly and we can go on: Put the discs back into the box.