Browsing: All Content in Algebra II for Sequences and Series Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
Type |
$? |
Rating |
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Aggregation: Growing Fractal S...
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Fractals (optional) (Algebra II) |
Java Applet |
Activity |
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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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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...
More: lessons, discussions, ratings, reviews,...
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Chaos Dialogue
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Geometric sequences and series (Algebra II)+ |
Java Applet |
Support Material |
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Introduces the notion of chaos as the breakdown in predictability.
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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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Shows the wide spread use of fractals and chaos in science and nature.
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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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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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Counting and Probability: Abou...
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Arithmetic sequences and series (Algebra II) |
Flash |
Tool |
$ |
[0]
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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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Counting and Probability: Abou...
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Geometric sequences and series (Algebra II) |
Flash |
Tool |
$ |
[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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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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Arithmetic Series
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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 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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Coastline
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Fractals (optional) (Algebra II) |
Java Applet |
Tool |
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[0]
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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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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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Fibonacci Sequence
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Recursion and special sequences (Algebra II) |
Java Applet |
Tool |
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Explore the Fibonacci sequence and the golden ratio.
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Fractals: An Introductory Less...
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Fractals (optional) (Algebra II) |
Java Applet |
Tool |
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Multi-page lesson with introductory activities in fractals. Involves Java applets for computing and displaying preset and custom fractals. Covers Koch curves, Sierpinski triangles, the Hilbert fract...
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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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Loan Calculator
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Geometric sequences and series (Algebra II)+ |
Java Applet |
Tool |
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Explore how to pay off a loan, and how interest affects payment.
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Recursion
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Recursion and special sequences (Algebra II) |
Java Applet |
Tool |
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This activity graphs recursive functions of the form f(0) = C, defining f(n) based on f(n - 1).
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Savings Calculator
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Geometric sequences and series (Algebra II) |
Java Applet |
Tool |
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[0]
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Explore how savings, with or without regular deposits, grow over time.
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Sequence Puzzle
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Arithmetic sequences and series (Algebra II)+ |
Java Applet |
Tool |
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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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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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Understanding Summation Notati...
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Arithmetic sequences and series (Algebra II)+ |
Java Applet |
Tool |
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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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Arithmetic or Geometric?
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Arithmetic sequences and series (Algebra II)+ |
JavaScript |
Tool |
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[0]
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Decide whether each of the given series is an arithmetic or geometric sequence.
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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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