Making Networks Visible
Starting point is a task, as is the case in many textbooks.
|A largest possible circle is inscribed in an equilateral triangle. What percentage of the area of the triangle is occupied by the circle?|
Possible solutions are not supposed to be dealt here further. You can refer to the suggestion proposed by Volker Ulm, Mathematics lessons for individualised learning (see below) or even develop a solution by yourself on the basis of the following chart.
The following task can initiate a reflection upon the selected solutions:
Represent it clearly in a chart!
A joint brainstorming session with the class to gather as many ideas as possible is recommended.
Below you see a possible networking chart. It does not contain all conceivable networks due to reasons of clarity.