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What is Pascal’s Triangle? Pascal's Triangle is an interesting triangular array of numbers. There are numerous patterns and mathematical solutions that can be found in Pascal's Triangle!

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Scalloped Circle String Art

Use colored string and simple cardboard shapes to create artistic designs based on intriguing mathematical patterns. Every pattern has infinite possibilities! String art is fun for all ages - to fix a mistake or try a new approach, just unwind the string!

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Patterning with Polygons

Tessellations are repeating patterns that cover a surface without any gaps, which are made of one or more shapes. Polygons provide an excellent starting point for a topic that spans art and mathematics.

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Moire Patterns

Moire patterns are formed when two similarly repetitive patterns overlap; they are generated in a wide range of situations and are easy to explore.

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Meet My Function Machine!

Create a function machine that transforms an input number into a unique output number. Exchange function machines and discover the rule behind the function!

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Swirl by Swirl, with book review

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Title:// Swirl by Swirl Spirals in Nature  Author: Joyce Sidman   Read more: http:

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Freaky Fractals

A fractal is an amazing geometric pattern which, when viewed closely, shows itself to be constructed of ever-smaller parts similar to the original. Fractal patterns are everywhere: trees, shells, leaves, ferns, flowers, vegetables, rivers, coastlines, mountains, geologic faults, planetary orbits, circulatory systems, music, clouds, weather, and even lightning bolts!

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Problem bank

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In this video segment from Cyberchase, Bianca wants to learn why her plants keep dying, so she transports them in a carriage to the New York Botanical Garden. A helpful plant expert shows her some patterns in plants, including bilateral and rotational symmetry, before discovering the pattern that may be killing Bianca's plants.

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Cyberchase | Patterns in Nature

In this video segment from Cyberchase, Bianca wants to learn why her plants keep dying, so she transports them in a carriage to the New York Botanical Garden. A helpful plant expert shows her some patterns in plants, including bilateral and rotational symmetry, before discovering the pattern that may be killing Bianca's plants.

Learn more about Cyberchase.

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In this video segment from Cyberchase, Bianca wants to learn why her plants keep dying, so she transports them in a carriage to the New York Botanical Garden. A helpful plant expert shows her some patterns in plants, including bilateral and rotational symmetry, before discovering the pattern that may be killing Bianca's plants.

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In this workshop series, educators listen to KQED and NPR media stories from inspiring experts who study the science of smells, acoustic ecologists who study sounds, and mathematicians identifying patterns in nature.

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Have students measure angles of the patterns

Visual Example: Drying elastic mud in Sicily with mainly 120° cracks

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Nature Patterns

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Patterns in Nature

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Discover recipes, home ideas, style inspiration and other ideas to try.

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Generate and analyze patterns. 5. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.

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Have students go on a visual / internet search for various patterns in nature