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Topic (Course) 
Technology 
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About Geometric Sequences

geometric (PreCalculus) 
Flash 
Tool 

[0]

Flashbased introduction to geometric sequences, including finding the general term, a specific term, and the sum of a range of terms. College Cram charges access fees by the month or by the seme...
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Another Hilbert Curve

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

This activity allows the user to show how changing the generator slightly in a line replacement fractal can have a significant impact on the final product.
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Cantor's Comb

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

Students learn about fractions between 0 and 1 by repeatedly deleting portions of a line segment, also learning about properties of fractal objects. Parameter: fraction of the segment to be deleted...
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Chaos Game

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

This activity allows the user to see patterns in seemingly random dot arrangements and explore the chaos game by changing the number of vertices, and the number of dots displayed.
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El peine de Cantor

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

Los estudiantes aprenden sobre las fracciones entre 0 y 1 a través de la eliminación repetitiva de porciones de un segmento de recta, aprendiendo a la vez sobre las propiedades de objetos fractales...
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Exploring Infinite Series thro...

geometric (PreCalculus) 
Sketchpad 
Activity 

[0]

This activity is an introduction to the concept of convergent infinite series using an iterative geometric construction. This activity has been adapted from the following article: Choppin, J. M. (1994...
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Exploring and Analyzing Sequen...

geometric (PreCalculus) 
Excel 
Lesson Plan 

[0]

In this activity, students generate sequences and cumulative sequences, and analyze each numerically and graphically. Students explore sequences, cumulative sequences, convergence, divergence, functio...
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Fibonacci Sequence

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

Explore the Fibonacci sequence and the golden ratio.
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FibonacciLike Sequences and t...

geometric (PreCalculus) 
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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Flake Maker

geometric (PreCalculus) 
Java Applet 
Tool 

[1]

This activity allows the user to build custom line deformation fractals.
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Fractal Dimensions

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

This activity allows the user to calculate the fractal dimension of a series of regular fractals without access to a calculator.
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Fractured Pictures

geometric (PreCalculus) 
Java Applet 
Tool 

[1]

This activity allows the user to generate interesting, irregular fractals.
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Hilbert Curve Generator

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

This activity allows the user to step through the generation of a fractal made from deforming a line by bending it.
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Infinity and Iteration Dialogu...

geometric (PreCalculus) 
Java Applet 
Support Material 

[0]

Discusses infinity, iterations and limits by referencing fractals and sequences.
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Introduction to Fractals: Geom...

geometric (PreCalculus) 
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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Irregular Fractals

geometric (PreCalculus) 
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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Julia Sets

geometric (PreCalculus) 
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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Koch's Snowflake

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

This activity allows the user to step through the generation of a fractal made from deforming a line by bending it.
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Loan Calculator

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

Explore how to pay off a loan, and how interest affects payment. You can control the the frequency of the payments and the period (number of years) of payments or the amount of each payment.
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Mandelbrot Set

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

This activity allows the user to investigate the Mandelbrot set associated with functions f(Z) = Z^2 + C
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Patterns In Fractals

geometric (PreCalculus) 
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

geometric (PreCalculus) 
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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Properties of Fractals Dialogu...

geometric (PreCalculus) 
Java Applet 
Support Material 

[0]

A dialogue between a student and a mentor about the properties of fractals.
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Recursion Dialogue

geometric (PreCalculus) 
Java Applet 
Support Material 

[0]

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

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

Explore how savings, with or without regular deposits, grow over time.
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