fakir
Here's a DIY I presented to my students early in the second year so that they gradually find the properties of analytic geometry.
Preparation of the object:
paste a sheet A3 for small tiles and nail tacks forming squares of 2 cm side, using this grid. This board is prepared for a fakir a little snug because the points are in the wood and not outside ...
On a sheet of transparent rfodoïd, draw a line graduated every 2 cm, then with a punch, perforate the sheet all the graduations and prepare several sets of graduations.
Points can be represented by small discs, segments and lines by rubber bands.
The next activity is clear in several strategies that students can prepare for vector calculus and analytic geometry. (Moving from one point to another, then the Pythagorean theorem, and reciprocal calculating a length, midpoint, median trirangle an isosceles, etc. ...)
Theorem Pick, aptly for this exercise fakir, allows students a little lost finding the results, and good students discover a formula strange and funny.
Once students have strategies, I place a mark using my transparent strips and asks them to record their data with the coordinates.
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