Browsing: All Content in PreCalculus for Sequences and Series  Browse discussions |
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Resource Name |
Topic (Course) |
Technology |
Type |
$? |
Rating |
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Exploring Infinite Series thro...
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infinite (PreCalculus)+ |
Sketchpad |
Activity |
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 [0]
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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...
More: lessons, discussions, ratings, reviews,...
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Exploring and Analyzing Sequen...
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limit (PreCalculus)+ |
Excel |
Lesson Plan |
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[0]
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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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Fibonacci-Like Sequences and t...
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arithmetic (PreCalculus)+ |
Excel |
Lesson Plan |
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[0]
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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 ...
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Sequences and Series (PreCalculus) |
Java Applet |
Lesson Plan |
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[0]
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This lesson is designed to introduce students to the idea of an arithmetic sequence.
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Introduction to Fractals: Geom...
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infinite (PreCalculus)+ |
Java Applet |
Lesson Plan |
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[0]
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This activity is designed to further the work of the Infinity, Self-Similarity and Recursion lesson by showing students other classical fractals, the Sierpinski Triangle and Carpet, this time involvin...
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Irregular Fractals
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infinite (PreCalculus)+ |
Java Applet |
Lesson Plan |
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[0]
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This lesson is designed to continue the discussion of fractals started in the Infinity, Self-Similarity and Recursion, Geometric Fractals and Fractals and Chaos Game lessons. Students are introduced t...
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Patterns In Fractals
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infinite (PreCalculus)+ |
Java Applet |
Lesson Plan |
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[0]
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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
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infinite (PreCalculus)+ |
Java Applet |
Lesson Plan |
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[0]
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This activity is designed to further the work of the Infinity, Self-Similarity 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...
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Sequences and Series (PreCalculus)+ |
Java Applet |
Support Material |
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[0]
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Discusses infinity, iterations and limits by referencing fractals and sequences.
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Mandelbrot Set Dialogue
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Sequences and Series (PreCalculus) |
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 (PreCalculus) |
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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Properties of Fractals Dialogu...
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infinite (PreCalculus)+ |
Java Applet |
Support Material |
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[0]
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A dialogue between a student and a mentor about the properties of fractals.
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Recursion Dialogue
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Sequences and Series (PreCalculus)+ |
Java Applet |
Support Material |
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[0]
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Discusses the idea of recursion as it pertains to fractals and sequences.
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Counting and Probability: Abou...
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arithmetic (PreCalculus) |
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 (PreCalculus) |
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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Sequences and Series of Consta...
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Sequences and Series (PreCalculus) |
Flash |
Tool |
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[0]
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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
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infinite (PreCalculus)+ |
Java Applet |
Tool |
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[0]
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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
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geometric (PreCalculus) |
Java Applet |
Tool |
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[0]
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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
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infinite (PreCalculus)+ |
Java Applet |
Tool |
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[0]
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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
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Sequences and Series (PreCalculus) |
Java Applet |
Tool |
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[0]
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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
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geometric (PreCalculus) |
Java Applet |
Tool |
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[0]
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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
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geometric (PreCalculus) |
Java Applet |
Tool |
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[0]
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Explore the Fibonacci sequence and the golden ratio.
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Flake Maker
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infinite (PreCalculus)+ |
Java Applet |
Tool |
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[1]
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This activity allows the user to build custom line deformation fractals.
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Fractal Dimensions
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infinite (PreCalculus)+ |
Java Applet |
Tool |
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[0]
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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
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infinite (PreCalculus)+ |
Java Applet |
Tool |
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[0]
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This activity allows the user to generate interesting, irregular fractals.
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