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A Fractals Unit for Elementary...

Fractals (Math 7) 
Computer 
Activity 

[1]

A teaching unit on fractals for students and teachers in grades 4 to 8, that adults are free to enjoy, designed to introduce students to fractals and the underlying mathematics. It focuses on fractals...
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Fractals: Sierpinski Triangle

Fractals (Math 7) 
Java Applet 
Activity 

[1]

This activity shows how to make a Sierpinski Triangle handson, stepbystep by using triangle grid paper which is provided.
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Prisoners and Escapees  Julia...

Fractals (Math 7) 
Java Applet 
Support Material 

[1]

Defines the notion of prisoners and escapees as they pertain to iterative functions. A prisoner ultimately changes to a constant while escapees iterate to infinity.
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Flake Maker

Fractals (Math 7) 
Java Applet 
Tool 

[1]

This activity allows the user to build custom line deformation fractals.
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Game of Chaos

Fractals (Math 7) 
Java Applet 
Tool 

[1]

The chaos game is simple but very interesting. A single die is needed to play the game, and the vertices of an equilateral triangle. Assign two outcomes of the die to each of the 3 vertices. For ex...
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Tight Weave

Fractals (Math 7) 
Java Applet 
Tool 

[2]

Visualize the creation of the Sierpinski Carpet, an iterative geometric pattern that resembles a woven mat.
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Mandelbrot Set Dialogue

Fractals (Math 7) 
Java Applet 
Support Material 

[1]

Shows how the set of all Julia Sets are used to create the classic Mandelbrot fractal.
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Dimension and Scale Dialogue

Fractals (Math 7) 
Java Applet 
Support Material 

[1]

Discusses fractal dimension, how that dimension relates to scale, and the formula needed to calculate the fractal dimension of an object.
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Julia Sets

Fractals (Math 7) 
Java Applet 
Tool 

[1]

This activity allows the user to investigate the Julia sets associated with functions f(Z) = Z^2 + C for any complex number C=(a,b) in the circle of radius 2.
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Chaos Dialogue

Fractals (Math 7) 
Java Applet 
Support Material 

[2]

Introduces the notion of chaos as the breakdown in predictability.
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Exponents and Logarithms Dialo...

Fractals (Math 7) 
Java Applet 
Support Material 

[1]

Gives an introduction to the concept of a logarithms and shows how logs can be used to calculate fractal dimension.
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Dimension for Irregular Fracta...

Fractals (Math 7) 
Java Applet 
Support Material 

[1]

Discusses the problem of determining the fractal dimension of irregular fractals and how the scale is indeterminite in these fractals.
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Fractals: Koch Snowflake

Fractals (Math 7) 
Java Applet 
Activity 

[1]

This activity shows how to make the Koch Snowflake fractal handson, stepbystep by using triangle grid paper which is provided.
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Aggregation: Growing Fractal S...

Fractals (Math 7) 
Java Applet 
Activity 

[0]

Students investigate the models by which fractal patterns aggregate. Several questions are posed and different activities are suggested to go along with the DiffusionLimited Aggregation applet.
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Patterns In Fractals

Fractals (Math 7) 
Java Applet 
Lesson Plan 

[0]

Introduces students to the idea of finding number patterns in the generation of several different types of fractals.
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Introduction to Fractals: Geom...

Fractals (Math 7) 
Java Applet 
Lesson Plan 

[0]

This activity is designed to further the work of the Infinity, SelfSimilarity and Recursion lesson by showing students other classical fractals, the Sierpinski Triangle and Carpet, this time involvin...
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Properties of Fractals

Fractals (Math 7) 
Java Applet 
Lesson Plan 

[0]

This activity is designed to further the work of the Infinity, SelfSimilarity and Recursion, Geometric Fractals, and Fractals and the Chaos Game lessons by leading the students to build a working def...
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Introduction to Fractals: Infi...

Fractals (Math 7) 
Java Applet 
Lesson Plan 

[0]

This lesson is designed to get students to think about several of the concepts from fractals, including recursion and self similarity. The mathematical concepts of line segments, perimeter, area and i...
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Fractals and the Chaos Game

Fractals (Math 7) 
Java Applet 
Lesson Plan 

[0]

Introduces the chaos game and how it relates to geometric fractals.
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Fractal Properties

Fractals (Math 7) 
Java Applet 
Lesson Plan 

[0]

This lesson is an overview of fractal properties with definitions and activities.
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Chaos

Fractals (Math 7) 
Java Applet 
Lesson Plan 

[0]

Learn the concepts and applications of chaos theory.
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Fractal Coastline

Fractals (Math 7) 
Java Applet 
Lesson Plan 

[0]

This lesson plan provides a practical application of fractals for students: the coastline. Teachers give students different handson activities as well as work with a Java applet that shows the fracta...
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Infinity and Iteration Dialogu...

Fractals (Math 7) 
Java Applet 
Support Material 

[0]

Discusses infinity, iterations and limits by referencing fractals and sequences.
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Chaos is Everywhere Dialogue

Fractals (Math 7) 
Java Applet 
Support Material 

[0]

Shows the wide spread use of fractals and chaos in science and nature.
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Recursion Dialogue

Fractals (Math 7) 
Java Applet 
Support Material 

[0]

Discusses the idea of recursion as it pertains to fractals and sequences.
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