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Prisoners and Escapees  Julia...

Sequences and Series (Algebra II)+ 
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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Squares in a Square

Recursion and special sequences (Algebra II) 
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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Now/Next Recurrence Table Gene...

Sequences and Series (Algebra II) 
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 (Algebra II)+ 
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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Chaos Dialogue

Geometric sequences and series (Algebra II)+ 
Java Applet 
Support Material 

[2]

Introduces the notion of chaos as the breakdown in predictability.
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Aggregation: Growing Fractal S...

Fractals (optional) (Algebra II) 
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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Numerical Analysis

Recursion and special sequences (Algebra II) 
Computer 
Lesson Plan 

[0]

This investigation illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate t...
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Fractal Coastline

Fractals (optional) (Algebra II) 
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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Graphical Analysis

Recursion and special sequences (Algebra II) 
Java Applet 
Lesson Plan 

[0]

This activity illustrates the use of iteration, recursion and algebra to model and analyze a changing fish population. Graphs, equations, tables, and technological tools are used to investigate the ef...
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Understanding Sequence and Ser...

Arithmetic sequences and series (Algebra II)+ 
Flash 
Support Material 

[0]

This minilesson explains basic terminology associated with sequences, as well as the basics of arithmetic and geometric sequences.
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Evaluating a Finite Arithmetic...

Arithmetic sequences and series (Algebra II) 
Flash 
Support Material 

[0]

This minilesson explains the general terms and concepts of summation formulas for finite arithmetic series.
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Finite Geometric Series (Algeb...

Geometric sequences and series (Algebra II) 
Flash 
Support Material 

[0]

This minilesson explains how to identify terms in a finite geometric series.
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Summation Formulae for Finite ...

Geometric sequences and series (Algebra II)+ 
Flash 
Support Material 

[0]

This minilesson explains how to find the sum for finite and infinite geometric series.
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Chaos is Everywhere Dialogue

Geometric sequences and series (Algebra II)+ 
Java Applet 
Support Material 

[0]

Shows the wide spread use of fractals and chaos in science and nature.
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About Arithmetic Sequences

Arithmetic sequences and series (Algebra II) 
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 sequences and series (Algebra II) 
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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Graphing the Cantor Function

Fractals (optional) (Algebra II) 
Flash 
Tool 

[0]

In this simple applet, you can graph ten steps for the Cantor function (before changes can no longer be visible on screen).
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DiffusionLimited Aggregation:...

Fractals (optional) (Algebra II) 
Java Applet 
Tool 

[0]

This simulation shows two different ways fractals can be aggregated, either by a random walk or by special parameters of a straight walk.
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Coastline

Fractals (optional) (Algebra II) 
Java Applet 
Tool 

[0]

Students can investigate the idea that the coastline is a practical example of a fractal with this applet.
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Affine Recurrence Plotter

Sequences and Series (Algebra II) 
Java Applet 
Tool 

[0]

This tool is a customized spreadsheet that is preloaded so that the user can numerically investigate affine recurrence relations. By using the File menu the user can also create a new spreadsheet. It ...
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Trout Population Grapher

Recursion and special sequences (Algebra II) 
Java Applet 
Tool 

[0]

The user can change the values of the initial population size, the yearly restocking amount, and the growth factor of the trout population in a pond, and then view the graph of the population size.
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Arithmetic Series

Arithmetic sequences and series (Algebra II) 
Java Applet 
Tool 

[0]

Students are given one number, then they click, and the next number appears. Students should click until they can figure out how to get the next number in the sequence. There are only 8 sequences, s...
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Geometric Series

Geometric sequences and series (Algebra II) 
Java Applet 
Tool 

[0]

Eight short practice exercises that allow the student to try and identify the next term in a geometric sequence. Students keep clicking on the next term until they can predict the term before clickin...
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Sequence Puzzle

Arithmetic sequences and series (Algebra II)+ 
Java Applet 
Tool 

[0]

Students are given 8 sequences and must determine if they are geometric or arithmetic. As they answer correctly, a photographic puzzle of the Little Rascals is assembled.
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Understanding Summation Notati...

Arithmetic sequences and series (Algebra II)+ 
Java Applet 
Tool 

[0]

Students are given 10 problems written in summation notation. When they click, the sequence that comes from "translating" the notation is revealed. Very short exercise.
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