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Topic (Course) 
Technology 
Type 
$? 
Rating 

Building an Approximation of t...

Golden ratio (Geometry) 
Computer 
Activity 

[1]

Build an approximation of the golden rectangle using square grid paper.
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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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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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Lunes and Triangles in Spheric...

Special topics (Geometry)+ 
Java Applet 
Activity 

[1]

This activity (with builtin java sketchpad applets) guides students through areas of lunes and triangles in spherical geometry, concluding with an exploration about
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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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Flake Maker

Fractals (Geometry) 
Java Applet 
Tool 

[1]

This activity allows the user to build custom line deformation fractals.
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Fractured Pictures

Fractals (Geometry) 
Java Applet 
Tool 

[1]

This activity allows the user to generate interesting, irregular fractals.
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Game of Chaos

Fractals (Geometry) 
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 (Geometry) 
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 (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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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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Turtle Geometry

Special topics (Geometry) 
Java Applet 
Tool 

[1]

Move and turn a turtle.
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Buffon Needle

Geometric probability (Geometry) 
Java Applet 
Tool 

[1]

Simulates dropping needles on a lined sheet of paper and determining the probability of the needles crossing one of the lines on the page. The result is that the probability is directly related to the...
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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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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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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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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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Rectangles All Around

Golden ratio (Geometry) 
Computer 
Activity 

[0]

Find out which objects around you are made in the golden ratio.
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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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Exploring the Golden Rectangle

Golden ratio (Geometry) 
Sketchpad 
Activity 

[0]

In this activity, students will construct a golden section and a golden rectangle and study their characteristics and connections with the Fibonacci series. They will import pictures from the Internet...
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Geometric Dartboards

Geometric probability (Geometry) 
TINspire 
Activity 

[0]

In this activity, students create a geometric dartboard where they will explore ﬁnding the theoretical and experimental probability of a “dart” hitting one of their shapes within the dartboard....
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Buffon's Needle: An Analysis a...

Geometric probability (Geometry) 

Lesson Plan 

[0]

Buffon's Needle is one of the oldest problems in the field of geometrical probability. It was first stated in 1777. It involves dropping a needle on a lined sheet of paper and determining the probabil...
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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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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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