A Picture Tells A Thousand Words - Team E

Autor:Susanne Digel

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. Fill in the table in the simulation Discs by replacing the numbers 1, 2, 3, ... with the diameters from disc no.1, 2, 3, ... and next to these the replace the zeros with the corresponding circumferences of disc no.1, 2, 3, ... Tick the box „Messpunkte“ in the simulation. Now your measurements (diameter, circumference) appear in the coordinate pane in the middle.

Simulation Discs

To the left of the coordinate pane is the animation pane. Change the diameter of the disc in the animation by pulling the red slider. When you pull the black slider, the disc unrolls. Now increase the diameter step by step from 0 cm to 8 cm and unroll the disc. Each time the values of diameter and circumference in the animation will also appear in the coordinate pane.

Now check your measurements with the discs and ruler. Tick the box "Trendlinie" in the simulation Circle to connect the points. Do the digital values fit your measurements? If so, describe how you determined this. Or don't they fit? Then fiind reasons why and write them down.

This graph makes Sarah and Max think…

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 your statement on the correlation between diameter and circumference in task 8 and the description of the graph in the previous task to 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.

A Picture Tells A Thousand Words - Team E

Simulation Discs

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