 statistics    |    fractals    |    linear inequalities    |    graph theory probability & game theory    |    non-euclidean geometry

Resources

Statistics
Fractals
Graph Theory
Probability and Game Theory
Non-Euclidean Geometry

 Statistics Non-Applet Resources Brain Teaser, Data Sets, Pictograph Bar Graph Enter data to create a bar graph, then manipulate the graph's maximum and minimum values. Stem and Leaf Displays stem-and-leaf plots of data. Allows students to practice finding means, medians, and modes. Spinner Students can create a game spinner with 1 to 12 sectors of equal size to discover experimental and theoretical probabilities.

 Fractals Non-Applet Resources Worksheets and Handouts Tortoise and Hare Students step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers. Hilbert Curve Generator Students step through the generation of a Hilbert Curve -- a fractal made from deforming a line by bending it, allowing them to explore number patterns in sequences and geometric properties of fractals. Another Hilbert Curve Generator Students step through the generation of a different Hilber-like Curve -- a fractal made from deforming a line by bending it, allowing them to explore number patterns in sequences and geometric properties of fractals. Koch's Snowflake Students step through the generation of the Kock Snowflake -- a fractal made from deforming the sides of a triangle, allowing them to explore number patterns in sequences and geometric properties of fractals. Sierpinski's Triangle Students 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, allowing them to explore number patterns in sequences and geometric properties of fractals. Sierpinski's Carpet Students step through the generation of Sierpinski's Carpet -- a fractal made from subdividing a square into nine smaller squares and cutting the middle one out, allowing them to explore number patterns in sequences and geometric properties of fractals.

 Graph Theory Non-Applet Resources Brain Teaser, Handouts, and Example Graphs Graph Theory Applets This site has a lot of good graph theory applets Dijkstra's Algorithm An applet that illustrates Dijkstra's Shortest Path Algorithm

 Probability and Game Theory Non-Applet Resources Brain Teaser & Worksheet Game Theory Applets This site has a lot of good game theory applets. Birthday Problem Simulates the Generalized Birthday Problem - the likelihood of two people sharing a birthday. Bayes Theorm Two applets that explore Bayes Rule of conditional probability. Rock, Paper, Scissors Play the game against an artifical intelligence algorithm to develop an optimal streagy. Friends & Fortunes Competition games. Play twelve rounds of classic games against four personalities. Marbles Draw marbles from a bag to experiment with dependent and independent probabilities. Simple Monty Hall "Lets Make a Deal" - Experimentally determine the odds of winning the grand prize. Advanced Monty Hall "Lets Make a Deal" with N doors instead of three.

 Non-Euclidean Geometry Non-Applet Resources Brain Teaser & Step Through Proof Templates Hyperbolic Geometry Applet offering straightedge and compass constructions in hyperbolic geometry. Treasure Hunt Explore Taxicab Geometry by looking for hidden treasure in a city.

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