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Topic (Course) 
Technology 
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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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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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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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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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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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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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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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Golden Ratio

Golden ratio (Geometry) 
Computer 
Support Material 

[0]

A description of the Golden Ratio.
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Golden Ratio: The Algebra

Golden ratio (Geometry) 
Computer 
Support Material 

[0]

Confirm the golden ratio using algebra.
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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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