Day 1: Statistics
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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. |
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Day 2: Fractals
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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. |
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Day 3: Graph Theory
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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 |
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Day 4: Probability and Game Theory
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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. |
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Day 5: Non-Euclidean Geometry
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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. |