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Resource Name 
Topic (Course) 
Technology 
Type 
$? 
Rating 

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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Flake Maker

infinite (PreCalculus)+ 
Java Applet 
Tool 

[1]

This activity allows the user to build custom line deformation fractals.
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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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Squares in a Square

finite (PreCalculus)+ 
Java Applet 
Technology PoW 

[3]

If you have a checkerboard that is 50x50 with small squares inside it, how many squares will there be all together? Students use a Java applet from the Freudenthal Institute to think about the ques...
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Tight Weave

limit (PreCalculus) 
Java Applet 
Tool 

[2]

Visualize the creation of the Sierpinski Carpet, an iterative geometric pattern that resembles a woven mat.
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Now/Next Recurrence Table Gene...

Sequences and Series (PreCalculus) 
JavaScript 
Tool 

[2]

This JavaScript illustrates one method of dynamically generating a table of values for a recurrence equation.
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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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Julia Sets

infinite (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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Pattern Generator

Sequences and Series (PreCalculus) 
Java Applet 
Tool 

[1]

Determine and then continue the pattern generated.
Spanish version also available.
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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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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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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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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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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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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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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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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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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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Sequencer

Sequences and Series (PreCalculus) 
Java Applet 
Tool 

[0]

Students learn about number patterns in sequences and recursions by specifying a starting number, multiplier and addon.
Spanish version also available.
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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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