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Buffon's Needle: An Analysis a...

Geometric probability (Geometry) 

Lesson Plan 

[0]

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...
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A Fractals Unit for Elementary...

Fractals (Geometry) 
Computer 
Activity 

[1]

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...
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Building an Approximation of t...

Golden ratio (Geometry) 
Computer 
Activity 

[1]

Build an approximation of the golden rectangle using square grid paper.
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Fibonacci Numbers in Nature

Fibonacci sequence and spiral (Geometry) 
Computer 
Tool 

[1]

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

Golden ratio (Geometry) 
Computer 
Support Material 

[0]

A description of the Golden Ratio.
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Golden Ratio: The Algebra

Golden ratio (Geometry) 
Computer 
Support Material 

[0]

Confirm the golden ratio using algebra.
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Rectangles All Around

Golden ratio (Geometry) 
Computer 
Activity 

[0]

Find out which objects around you are made in the golden ratio.
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FibonacciLike Sequences and t...

Fibonacci sequence and spiral (Geometry)+ 
Excel 
Lesson Plan 

[0]

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...

Geometric probability (Geometry) 
Fathom 
Tool 

[0]

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...

Fractals (Geometry) 
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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Another Hilbert Curve

Fractals (Geometry) 
Java Applet 
Tool 

[0]

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

Geometric probability (Geometry) 
Java Applet 
Tool 

[1]

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

Geometric probability (Geometry) 
Java Applet 
Tool 

[0]

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

Fractals (Geometry) 
Java Applet 
Lesson Plan 

[0]

Learn the concepts and applications of chaos theory.
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Chaos Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[2]

Introduces the notion of chaos as the breakdown in predictability.
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Chaos is Everywhere Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[0]

Shows the wide spread use of fractals and chaos in science and nature.
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Coastline

Fractals (Geometry) 
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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Cob Web Plot

Special topics (Geometry) 
Java Applet 
Tool 

[0]

Change variables and observe patterns from this graphing simulation.
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Colorear los múltiplos en el T...

Fractals (Geometry) 
Java Applet 
Tool 

[0]

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...

Fractals (Geometry) 
Java Applet 
Tool 

[0]

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...

Fractals (Geometry) 
Java Applet 
Tool 

[0]

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'...

Fractals (Geometry) 
Java Applet 
Tool 

[0]

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...
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DiffusionLimited Aggregation:...

Fractals (Geometry) 
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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Dimension and Scale Dialogue

Fractals (Geometry) 
Java Applet 
Support Material 

[1]

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...

Fractals (Geometry) 
Java Applet 
Support Material 

[1]

Discusses the problem of determining the fractal dimension of irregular fractals and how the scale is indeterminite in these fractals.
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