Last time we met, we concentrated on making a Sierpinski's triangle by starting with an 8" x 8" equilateral triangle and doing 5 iterations within, therefore at each iteration, the triangle got smaller and smaller and smaller.
Today, we concentrated on this idea of infinity and how with fractals, they can also get bigger and bigger by repeating the same geometric pattern/equation, just in reverse.
Today I split the classes up into groups and had them figure out how they could make a larger version of Sierpinski's triangle with nine of their triangles. Some groups had quite the difficult time figuring it out but it was great to see them challenged by this and working collaboratively to creative problem solve. After the groups figured out how they would do this with nine, I asked them to figure out how they would create a larger version with 27 triangles.
As they figured it out, I had each group come into the room next door where I had a piece of 6' x 6' paper out with tape. They had to set up their triangles as they had in their group, leaving room for the two other groups to fill in the space to create an even larger Sierpinski's triangle.
The outcome was pretty awesome. The end result was an almost five foot tall version of Sierpinski's triangle and very colorful!