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This worksheet is for use with the lesson Algorithm Discovery with Venn Diagrams (http://www.shodor.org/interactivate/lessons/AlgorithmDiscovery/).
Outlines the approach to building fractals by cutting out portions of plane figures.
Inverse Properties (Discussion)
Introduces the concepts of the additive inverse and multiplicative inverse and how they are used when solving equations.
Students learn basic ideas about graphing points on the coordinate plane.
Advanced Monty Hall (Activity)
Choose one of N doors to experimentally determine the odds of winning the grand prize behind one of the doors, as in the TV program "Let's Make a Deal." Parameters: Number of doors, number of trials, staying or switching between the two remaining doors.
Spinner (Activity)
Create a game spinner with one to twelve sectors in order to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.
Normal Distribution (Activity)
Change the standard deviation of an automatically generated normal distribution to create a new histogram. Observe how well the histogram fits the curve, and how areas under the curve correspond to the number of trials. Parameters: standard deviation, number of trials, class intervals.
Adjustable Spinner (Activity)
Create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.
The Chaos Game (Activity)
Play the Chaos Game by experimenting with probabilities. Learn about an apparently random process with a not-so-random, geometric fractal result.
Dice Table (Activity)
Experiment with the outcome distribution for a roll of two dice by simulating a dice throwing game. Parameters: Which player wins with which total rolled.

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