'Use Geogebra to link geometrical patterns to sequences and their graphs’
Why are patterns so visually appealing ? It is because of their internal mathematical structure. This activity will explore some pretty pictures and find out why they are mathematically attractive. Number, geometry and algebra are often seen as 3 different mathematical topics. This activity shows that they can represent the same thing.
Video help file (no sound):
This activity can be completed using Geogebra or any other graphing software
Find instructions for students to follow for Geog Instructions
There are 3 different levels of sequences Sequences A Sequences B Sequences C
You can see the type of file that students might produce Example Geogebra file
You can download Geogebra free software from here Geogebra
- Students are provided with cards containing geometrical patterns.
- There are 3 levels of difficulty (A, B & C).
- Each pattern is made up of sequences of shaded squares.
- The aim is to find the general rule for the number of squares shaded in each pattern.
- Sudents will count the number of shaded squares and plot the graphs using Geogebra.
- Students should then try to find the equation of the line and hence the nth term of the sequence.
- Students could make up some geometrical patterns of their own and find their general terms.