Dynamic puzzles and tangrams

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# Dynamic puzzles and tangrams - PowerPoint PPT Presentation

International team MMM. Dynamic puzzles and tangrams. Monika Schwarze Pestalozzi Gymnasium Unna. Example of a puzzle. Try to make a rectangle whose length is twice the broadth. Click into the puzzle to try it out with GeoGebra or download the file. How to construct?.

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International team MMM

### Dynamic puzzles and tangrams

Monika Schwarze Pestalozzi Gymnasium Unna

Example of a puzzle

Try to make a rectangle whose length is twice the broadth.

Click into the puzzle to try it out with GeoGebra or download the file

How to construct?

This puzzle of 7 pieces shall be constructed.All pieces of the puzzle should be constructed so that they are movable and turnable in the GeoGebra plane.

Construction: step 1

Construct a retangle consisting of two squares. All edges of the 7 pieces have to be constructed (and remain stable when you drag on points A or B).

Construction: step 2

1

Hide all lines.

And now you construct a dragable and turnable copy of the triangle 1.

- Draw the triangle ABG with the command „polygon“.

• Draw then a stable polygon by clicking on A,B,G, A and then directly in the interior of the triangle ABG.
• Then you get triangle 2. You can move & turn it!

triangle 2

Construction: step 3

Construct the other parts in the same way.

Start e.g. for the square with points I and E so that not all points for dragging the pieces will lay at the same position.

Construction: step 4
• Color all construced copies of polygons.
• Mark all points that make the pieces turnable with a big, black cross.
• Then hide all other lines and points.
• Change the position of the puzzle pieces by moving and turning.
• That‘s it!
Ideas for your puzzle

picture

More ideas on the internet by using google pics

Good luck and have fun!