Meaningful math

Möte med mening

PythagorasThis book was written 1995! It has been available for several years in our school math library but undiscovered by me. It is of course written in Swedish.

Two pages talkes about the Pythagorean Theorem and how to experiment with it. Reading about it I thought it would be perfect to let the kids work with the theorem while learning how to calculate the area of the rectangle and the triangle.

The drawing on the right shows how to create:

  • 4 triangles
  • 1 square

and how to combine them to demonstrate the Theorem.

To create the demonstration shown on the second image below, one should also have:

  • 1 rectangle for the hypotenuse area (c2)
  • 2 rectangles for the two legs area (a2 and b2)
  • 1 rectangle with the area (a+b)2

If the students have woodwork or art lessons it is maybe an idea to cooperate with those colleagues to let the pupils create these 5 shapes in some adequate material and then maybe do math experiments.

Pythagoras 2

I would like to find other good reasons to learn geometry but at least, these two experiments would maybe show some of the magic of math.

 

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