Lead a class
discussion on exponents and logarithms to prepare students for calculating "fractal dimensions."
Have the class choose a fractal they have worked with previously. Have the students figure out
the fractal dimension of it by hand using the log function on a scientific calculator.
Guide the students through the first fractal on the computer version of the
Fractal Dimension activity explaining how the activity works.
Once the students have begun to grasp how to calculate fractal dimensions have them work
independently with the remaining fractals.
If you choose to pass out the accompanying worksheet you may choose to have the students
complete it now.
You may wish to bring the class back together for a discussion of the findings. Once the
students have been allowed to share what they found, summarize the results of the lesson.
This lesson can be rearranged in several ways:
Leave out all references to logarithms, using only trial and error for finding the fractal
dimensions. This reduces the required time significantly.
Add an additional discussion session: Build a class list of all the fractals whose dimensions
have been calculated in order by size of dimension, and have students use the pictures as
evidence for why this ordering makes sense visually.