GSP reflection fo dp

The purpose of this project was to expand students' understanding of different transformations by creating intricate geometric designs. By creating complex designs that are precise by using Geometer's Sketchpad, and having to master the results of transformations in order to create those designs, students can have a hands-on learning experience and be tested on their knowledge at the same time.
The requirements of the project were to create
1. A simple design with at least 5-fold rotational symmetry, and to find the length of one line in the design and the corresponding linear equation by finding the slope and the y-intercept
2. A complex design that has at least 5-fold rotational symmetry
3. An Op Art piece
4. A knot or Islamic tile design
and in addition, three other simple designs, including an astrid and a triforce-type design.

all using the Geometer's Sketchpad program.



The geometer's sketchpad expanded my knowledge of geometric tranformations because creating a symmetrical design on the program takes a lot of prior experience with reflecting, rotating, and translating lines and objects. In order to create such a design, one must know about transformations, because in order to have lines go in certain directions or go to certain positions. Also, it was very effective in providing an example of what rotations, reflections, and translations create, and how these types of transformations are used in many geometric designs.