Browsing: All Content in Algebra II for Sequences and Series Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
Type |
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Prisoners and Escapees - Julia...
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Sequences and Series (Algebra II)+ |
Java Applet |
Support Material |
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[1]
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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
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Recursion and special sequences (Algebra II) |
Java Applet |
Technology PoW |
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[3]
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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...
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Sequences and Series (Algebra II) |
JavaScript |
Tool |
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[2]
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This JavaScript illustrates one method of dynamically generating a table of values for a recurrence equation.
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Mandelbrot Set Dialogue
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Sequences and Series (Algebra II)+ |
Java Applet |
Support Material |
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[1]
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Shows how the set of all Julia Sets are used to create the classic Mandelbrot fractal.
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Chaos Dialogue
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Geometric sequences and series (Algebra II)+ |
Java Applet |
Support Material |
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[2]
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Introduces the notion of chaos as the breakdown in predictability.
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Aggregation: Growing Fractal S...
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Fractals (optional) (Algebra II) |
Java Applet |
Activity |
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[0]
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Students investigate the models by which fractal patterns aggregate. Several questions are posed and different activities are suggested to go along with the Diffusion-Limited Aggregation applet.
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Numerical Analysis
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Recursion and special sequences (Algebra II) |
Computer |
Lesson Plan |
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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
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Fractals (optional) (Algebra II) |
Java Applet |
Lesson Plan |
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[0]
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This lesson plan provides a practical application of fractals for students: the coastline. Teachers give students different hands-on activities as well as work with a Java applet that shows the fracta...
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Graphical Analysis
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Recursion and special sequences (Algebra II) |
Java Applet |
Lesson Plan |
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[0]
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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...
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Arithmetic sequences and series (Algebra II)+ |
Flash |
Support Material |
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This mini-lesson explains basic terminology associated with sequences, as well as the basics of arithmetic and geometric sequences.
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Evaluating a Finite Arithmetic...
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Arithmetic sequences and series (Algebra II) |
Flash |
Support Material |
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[0]
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This mini-lesson explains the general terms and concepts of summation formulas for finite arithmetic series.
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Finite Geometric Series (Algeb...
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Geometric sequences and series (Algebra II) |
Flash |
Support Material |
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This mini-lesson explains how to identify terms in a finite geometric series.
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Summation Formulae for Finite ...
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Geometric sequences and series (Algebra II)+ |
Flash |
Support Material |
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[0]
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This mini-lesson explains how to find the sum for finite and infinite geometric series.
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Chaos is Everywhere Dialogue
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Geometric sequences and series (Algebra II)+ |
Java Applet |
Support Material |
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[0]
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Shows the wide spread use of fractals and chaos in science and nature.
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About Arithmetic Sequences
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Arithmetic sequences and series (Algebra II) |
Flash |
Tool |
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Flash-based 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
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Geometric sequences and series (Algebra II) |
Flash |
Tool |
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[0]
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Flash-based 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
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Fractals (optional) (Algebra II) |
Flash |
Tool |
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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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Diffusion-Limited Aggregation:...
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Fractals (optional) (Algebra II) |
Java Applet |
Tool |
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[0]
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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
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Fractals (optional) (Algebra II) |
Java Applet |
Tool |
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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
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Sequences and Series (Algebra II) |
Java Applet |
Tool |
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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
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Recursion and special sequences (Algebra II) |
Java Applet |
Tool |
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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
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Arithmetic sequences and series (Algebra II) |
Java Applet |
Tool |
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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
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Geometric sequences and series (Algebra II) |
Java Applet |
Tool |
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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
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Arithmetic sequences and series (Algebra II)+ |
Java Applet |
Tool |
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[0]
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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...
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Arithmetic sequences and series (Algebra II)+ |
Java Applet |
Tool |
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[0]
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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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