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Topic (Course) 
Technology 
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Exploring Infinite Series thro...

infinite (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...

limit (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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FibonacciLike Sequences and t...

arithmetic (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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An Introduction to Arithmetic ...

Sequences and Series (PreCalculus) 
Java Applet 
Lesson Plan 

[0]

This lesson is designed to introduce students to the idea of an arithmetic sequence.
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Introduction to Fractals: Geom...

infinite (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

infinite (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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Patterns In Fractals

infinite (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

infinite (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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Infinity and Iteration Dialogu...

Sequences and Series (PreCalculus)+ 
Java Applet 
Support Material 

[0]

Discusses infinity, iterations and limits by referencing fractals and sequences.
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Mandelbrot Set Dialogue

Sequences and Series (PreCalculus) 
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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Prisoners and Escapees  Julia...

Sequences and Series (PreCalculus) 
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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Properties of Fractals Dialogu...

infinite (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

Sequences and Series (PreCalculus)+ 
Java Applet 
Support Material 

[0]

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

arithmetic (PreCalculus) 
Flash 
Tool 

[0]

Flashbased introduction to arithmetic 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 sem...
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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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Sequences and Series of Consta...

Sequences and Series (PreCalculus) 
Flash 
Tool 

[0]

The applet shows graphically and numerically consecutive terms of a sequence or consecutive partial sums of a series. The user enters a formula for a sequence or a series and the terms are plotted. Ma...
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Another Hilbert Curve

infinite (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

infinite (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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Crear Sucesiones

Sequences and Series (PreCalculus) 
Java Applet 
Tool 

[0]

Los estudiantes aprenden de patrones numéricos en sucesiones y recursiones especificando un número inicial, la razón (geométrica) o la diferencia (aritmética).
versión en inglés
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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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Fibonacci Sequence

geometric (PreCalculus) 
Java Applet 
Tool 

[0]

Explore the Fibonacci sequence and the golden ratio.
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Flake Maker

infinite (PreCalculus)+ 
Java Applet 
Tool 

[1]

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

infinite (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

infinite (PreCalculus)+ 
Java Applet 
Tool 

[1]

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