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Topic (Course) 
Technology 
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FibonacciLike Sequences and t...

Fibonacci sequence and spiral (Geometry) 
Excel 
Lesson Plan 

[0]

In this activity, students develop the Fibonacci sequence and use a spreadsheet to investigate several of its interesting properties, drawing on a recursive formula to discuss arithmetic and geometric...
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Fibonacci Numbers in Nature

Fibonacci sequence and spiral (Geometry) 
Computer 
Tool 

[1]

This series of slides shows photographs and drawings of plants in nature that exhibit and demonstrate the Fibonacci series. Animations are also included to help the students see the spirals and the g...
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Fibonacci Sequence

Fibonacci sequence and spiral (Geometry) 
Java Applet 
Tool 

[0]

Explore the Fibonacci sequence and the golden ratio.
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A Fractals Unit for Elementary...

Fractals (Geometry) 
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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Aggregation: Growing Fractal S...

Fractals (Geometry) 
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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Fractals: Koch Snowflake

Fractals (Geometry) 
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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Fractals: Sierpinski Triangle

Fractals (Geometry) 
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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Chaos

Fractals (Geometry) 
Java Applet 
Lesson Plan 

[0]

Learn the concepts and applications of chaos theory.
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Fractal Coastline

Fractals (Geometry) 
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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Fractal Properties

Fractals (Geometry) 
Java Applet 
Lesson Plan 

[0]

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

Fractals (Geometry) 
Java Applet 
Lesson Plan 

[0]

Introduces the chaos game and how it relates to geometric fractals.
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Introduction to Fractals: Geom...

Fractals (Geometry) 
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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Introduction to Fractals: Infi...

Fractals (Geometry) 
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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Irregular Fractals

Fractals (Geometry) 
Java Applet 
Lesson Plan 

[0]

This lesson is designed to continue the discussion of fractals started in the Infinity, SelfSimilarity and Recursion, Geometric Fractals and Fractals and Chaos Game lessons. Students are introduced t...
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Mandelbrot Set

Fractals (Geometry) 
Java Applet 
Lesson Plan 

[0]

Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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Pascal's Triangle Lesson

Fractals (Geometry) 
Java Applet 
Lesson Plan 

[0]

The following discussions and activities are designed to lead the students to explore the number patterns and fractal properties of Pascal's Triangle. Basic arithmetic operations of multiplication and...
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Patterns In Fractals

Fractals (Geometry) 
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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Properties of Fractals

Fractals (Geometry) 
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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Chaos Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[2]

Introduces the notion of chaos as the breakdown in predictability.
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Chaos is Everywhere Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[0]

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

Fractals (Geometry) 
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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Dimension for Irregular Fracta...

Fractals (Geometry) 
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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Mandelbrot Set Dialogue

Fractals (Geometry) 
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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Plane Figure Fractals Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[0]

Compares fractals with one and two dimensional generators.
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Prisoners and Escapees  Julia...

Fractals (Geometry) 
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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