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I wrote a GeoGebra applet to help kids get a better understanding of regression lines (best fit lines). Linear relationships is one of the big themes throughout the year, and it turns out the slope of a best fit line can also tell you the fractal dimension of an object. Patricia and Lily were the first ones to find the best fit line for a set of points using the least squares applet I wrote (notice the squares are very small in the pictures).
I then let the kids express themselves artistically. Here, Emily is proudly displaying her drawing.
Using the box method, kids collected data to be inputed into a program I wrote. The program challenged the kids to do the least squares method for determining a best fit line by hand. This in turn gave the fractal dimension of their drawings (dimensions are not restricted to the whole numbers 1, 2 and 3).
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