After the icebreaker, Jennifer showed the students an equilateral triangle with another upside-down equilateral triangle cut out from the center, separating it into three similar triangles. Jennifer wanted to know if they could figure out the next step. Eventually Jennifer led them to understand that the next step was to cut a triangle from each of the three resulting triangles. This was Sierpinski's triangle, a fractal, Jennifer explained. Jennifer then moved on to Coch's snowflake, a fractal made by starting with a straight line, and then repeatedly changing each straight line into a _/\_ shape. The result was a fractal that looked like half of a snowflake. Jennifer had the students note that while with more and more repetitions the perimeter of this structure increased substantially, the area approached a constant value.
The Shodor students then used the set of Interactivate fractal applets to explore fractals and other relatives of fractals such as the Julia set and the Mandelbrot set. Then they used the Chaos game plot points using a specific random algorithm. After many dots, the algorithm always ended up generating Sierpinski's triangle despite at first appearing completely random. Jennifer used this opportunity to teach the students about emergent behavior and concluded the class with a review of terms.