Page 87 - Mathematics GRADE 9, DE-STREAMED (MTH1W)

5. Have students make their own fractal triangles (Sierpinski triangles) by repeating a simple pattern of triangles to create a complex image, then use these images to create as many kinds of different number sets as they can (e.g., the number of blue triangles in each image, the fraction of blue triangles to white triangles in each image) or another similar fractal.
6. Have students alter the following flow chart to determine the number of perfect squares between 0 and 1000. Have students write and execute the code for the given flow chart and the altered flow chart and then use the outcomes to describe the density of the set of perfect squares between 0 and 100 compared to the density of the set of perfect squares between 0 and 1000.
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