Modeling the everyday
- Author:
- Rafael Losada Liste
This activity belongs to the GeoGebra book Attractive projects.
2D project: model everyday situations that involves a change (a before and after).
Note: this type of project is difficult, since the students must search a specific objective and make all of the construction from scratch.
In this example, a young couple sits down to dinner at a restaurant. The square table where the subject sits, has a tablecloth with rectangular shape on the table and the couple will sit on opposite sides of the table. "Too far away!", say both. So, they change to contiguous sides of the table. When the waiter arrives, he repositions the tablecloth to adapt it to the new situation.
The project consists on modeling this situation with GeoGebra, as observed in the construction. To do this, just calculate the new position of one of the corners of the mantle (since the angle will be 45°). This requires various schemes and the systematic use of the Pythagorean theorem.
Author of the construction of GeoGebra: Rafael Losada