Farmer McDonald wants to create an rectangle enclosure for his chickens.

What
is the greatest area by a given length of 10 meters?
Solve it:
- …by using a geometrical approach
- …by using a graphical approach
- …by using a numerical approach and
- …by using an algebraic approach.
The isoperimetric problem is a well-known problem in teaching.
You can
find different "coverings" of it - none of them is really an authentically
problem, just visualising the situation for students, such as the one in
the picture above.
What is the biggest area when using the wall as one
side when you have a fence of 10m length?
The potentiality of the task
is that it is a good example for an optimization problem, which can be solved
without calculus. And it can be solved with following different approaches
supported by using different kinds of technology.
It can be solved in
a:
- geometrical
- graphical
- numerical and
- algebraic way.
This is why we use this old task to introduce the different tools of Ti-Nspire™
and GeoGebra to colleagues and as well to students.
- Solve an optimization problem following different approaches
- Get to know the different tools in TI-Nspire™ and GeoGebra
The task enables different approaches for the students, so that everyone
can find his/her own way of learning. The presented solutions should reflect
an impression of that.
Detailed explanation of the aims ...