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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. |