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Organization: North Carolina Standard Course of Study
Grade Band: Algebra I
Standard Goal: The learner will perform operations with numbers and expressions to solve problems.
| Introduction to Fractals: Infinity, Self-Similarity and Recursion |
Lesson: Introduces students to the ideas involved in understanding fractals.
| | Properties of Fractals |
Lesson: A capstone lesson to allow students to build a working definition of fractal.
| 
A Better Fire!! |
Activity: Students run a simulation of how a fire will spread through a stand of trees, learning about probability and chaos. Parameters: Forest density, wind direction, size of forest.
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Life |
Activity: Run the classic game of life, learning about probabilities, chaos and simulation. This activity allows the user to run a randomly generated world or test out various patterns. This is a very powerful activity with a wide range of options. It runs in a separate window.
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Rabbits and Wolves |
Activity: Experiment with a simple ecosystem consisting of grass, rabbits, and wolves, learning about probabilities, chaos, and simulation.
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Sequencer |
Activity: Learn about number patterns in sequences and recursions by specifying a starting number, multiplier, and add-on. The numbers in the sequence are displayed on a graph, and they are also listed below the graph.
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Two Variable Function Pump |
Activity: Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.
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