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Clock Arithmetic (Activity)
Work with various types of clocks in order to learn about modular arithmetic operations. Parameters: Number of hours on the clock.
Step through the generation of Sierpinski's Triangle -- a fractal made from subdividing a triangle into four smaller triangles and cutting the middle one out. Explore number patterns in sequences and geometric properties of fractals.
This worksheet is for use with the activity Triple Venn Diagram Shape Sorter (http://shodor.org/interactivate/activities/TripleVennDiagram/).
This worksheet is for use with the lesson Algorithm Discovery with Venn Diagrams (http://www.shodor.org/interactivate/lessons/AlgorithmDiscovery/).
Students discover algorithms as they sort shapes into Venn diagrams. Then students compare the efficiency of their algorithms using box plots.
Koch's Snowflake (Activity)
Step through the generation of the Koch Snowflake -- a fractal made from deforming the sides of a triangle, and explore number patterns in sequences and geometric properties of fractals.
Introduces all of the 2 variable function and prisoner/escapee notions necessary to understand the Mandelbrot set.
Cantor's Comb (Activity)
Learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, and also learn about properties of fractal objects. Parameter: fraction of the segment to be deleted each time.
Dimension and Scale (Discussion)
Discusses fractal dimension, how that dimension relates to scale, and the formula needed to calculate the fractal dimension of an object.
Demonstrates how fractions are added and subtracted.
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