Proportional Reasoning

Section 5-4

Activity Name Activity Description
The Tortoise and Hare Race Students step through the 'tortoise and hare' race in a short investigation of Zeno's paradox. The paradox is based on an assumption of proportional distance traveled by the racers.
Cantor's Comb Students input a fractional parameter and view the geometric fractal patterns generated by repeatedly erasing the central portion of a line segment.
Sierpinski's Triangle Students view a series of fractal patterns known as the Sierpinski's Triangle, created by repeatedly subdividing the area of a triangle into proportional sections.
Sierpinski's Carpet Students view a series of fractal patterns known as the Sierpinski's Carpet, created by repeatedly subdividing the area of a square into proportional sections. Results can be compared to 'Another Hilbert Curve'.