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Resource Name |
Topic (Course) |
Technology |
Type |
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Rating |
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Buffon's Needle: An Analysis a...
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Geometric probability (Geometry) |
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Lesson Plan |
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Buffon's Needle is one of the oldest problems in the field of geometrical probability. It was first stated in 1777. It involves dropping a needle on a lined sheet of paper and determining the probabil...
More: lessons, discussions, ratings, reviews,...
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A Fractals Unit for Elementary...
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Fractals (Geometry) |
Computer |
Activity |
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[1]
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A teaching unit on fractals for students and teachers in grades 4 to 8, that adults are free to enjoy, designed to introduce students to fractals and the underlying mathematics. It focuses on fractals...
More: lessons, discussions, ratings, reviews,...
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Building an Approximation of t...
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Golden ratio (Geometry) |
Computer |
Activity |
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[1]
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Build an approximation of the golden rectangle using square grid paper.
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Fibonacci Numbers in Nature
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Fibonacci sequence and spiral (Geometry) |
Computer |
Tool |
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[1]
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This series of slides shows photographs and drawings of plants in nature that exhibit and demonstrate the Fibonacci series. Animations are also included to help the students see the spirals and the g...
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Golden Ratio
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Golden ratio (Geometry) |
Computer |
Support Material |
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A description of the Golden Ratio.
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Golden Ratio: The Algebra
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Golden ratio (Geometry) |
Computer |
Support Material |
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Confirm the golden ratio using algebra.
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Rectangles All Around
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Golden ratio (Geometry) |
Computer |
Activity |
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Find out which objects around you are made in the golden ratio.
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Fibonacci-Like Sequences and t...
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Fibonacci sequence and spiral (Geometry)+ |
Excel |
Lesson Plan |
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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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Random Triangles for Discoveri...
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Geometric probability (Geometry) |
Fathom |
Tool |
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Paul Myers created this demonstration as he was designing a Fathom project for Discovering Geometry. It shows when a triangle can be formed from the pieces after two random cuts are made in a 2...
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Aggregation: Growing Fractal S...
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Fractals (Geometry) |
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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Another Hilbert Curve
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Fractals (Geometry) |
Java Applet |
Tool |
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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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Buffon Needle
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Geometric probability (Geometry) |
Java Applet |
Tool |
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[1]
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Simulates dropping needles on a lined sheet of paper and determining the probability of the needles crossing one of the lines on the page. The result is that the probability is directly related to the...
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Buffon's Coin Experiment
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Geometric probability (Geometry) |
Java Applet |
Tool |
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Simulates the probability of a coin, dropped at random on a checkerboard, landing fully within a square. Radius of coin can be adjusted. Requires a (free) MathPlayer plugin.
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Chaos
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Fractals (Geometry) |
Java Applet |
Lesson Plan |
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Learn the concepts and applications of chaos theory.
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Chaos Dialogue
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Fractals (Geometry) |
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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Chaos is Everywhere Dialogue
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Fractals (Geometry) |
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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Coastline
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Fractals (Geometry) |
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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Cob Web Plot
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Special topics (Geometry) |
Java Applet |
Tool |
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[0]
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Change variables and observe patterns from this graphing simulation.
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Colorear los múltiplos en el T...
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Fractals (Geometry) |
Java Applet |
Tool |
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[0]
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Los estudiantes colorean números en el Triángulo de Pascal escogiendo un número al azar y luego dando un clic en todas las entradas que son múltiplos del número escogido, practicando de esta manera...
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Colorear los residuos en el Tr...
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Fractals (Geometry) |
Java Applet |
Tool |
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Los estudiantes colorean números en el Triángulo de Pascal escogiendo un número al azar y luego dando un clic en todas las entradas que tienes el mismo residuo, cuando son divididos por el número e...
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Coloring Multiples in Pascal's...
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Fractals (Geometry) |
Java Applet |
Tool |
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Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled, thereby practicing multiplication tables investigating numb...
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Coloring Remainders in Pascal'...
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Fractals (Geometry) |
Java Applet |
Tool |
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[0]
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Students color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that have the same remainder when divided by the number rolled.
Spanish version also avail...
More: lessons, discussions, ratings, reviews,...
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Diffusion-Limited Aggregation:...
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Fractals (Geometry) |
Java Applet |
Tool |
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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.
More: lessons, discussions, ratings, reviews,...
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Dimension and Scale Dialogue
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Fractals (Geometry) |
Java Applet |
Support Material |
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[1]
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Discusses fractal dimension, how that dimension relates to scale, and the formula needed to calculate the fractal dimension of an object.
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Dimension for Irregular Fracta...
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Fractals (Geometry) |
Java Applet |
Support Material |
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[1]
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Discusses the problem of determining the fractal dimension of irregular fractals and how the scale is indeterminite in these fractals.
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