Calculating areas as an approach to the notions of limit and
[b]Soapbox- GGB Global Gathering 2019[/b] Jaione Abaurrea, Aitzol Lasa and Miguel R. Wilhelmi- Public University of Navarre
Table of Contents
- Circunference and circle
- Inscribe and circumscribe regular polygon
- Calculating the length of the circumference
- Calculating the area of the circle
- Parabolic segment
- Give your proposal to cover the parabolic segment
- Designs of Master's degree students
- Desings of students aged 13-14
- Our proposal
- Archimedes' proposal
- The exact area
Inscribe and circumscribe regular polygon
First of all, yo have to represent a circumference. To do that, introduce a value for the radius in the entry box and you will se the cimcumference represeted on the screen (choose the value 3 or a bigger one for the radius in order to represent a big circumference that can be seen perfectly on the screen).[br][br]Then, move the slider and see the polygons that appear on the screen and answer the questions:[br][br] - What appends while the number of sides of the polygon grows? [br][br] - When are inscribe regular polygon (which is inside the circumference) and circumscribe regular polygon (which is outside the circumference) most similar to each other? [br][br] - Which polygons have an approximated representation from the circumference? And which are more different of the circumference?
Give your proposal to cover the parabolic segment
Use plane figures to make the best composition to cover parabolic segment's surface.