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This is a task that combines art, mathematics and design. Students are asked to see and design optical illusions, think about the mathematics inside them and pose mathematical questions for their friends.

Task Instructions

Optical art consists of geometric shapes and patterns, and is often coloured in black and white. Look at the three examples, do you see anything about the patterns that cause them to create an optical illusion?

Using the 100-square grid, create your own interesting pattern. Share your designs with a classmate and find out if they see an illusion when looking at your pattern.

Did you get any more ideas about the ways to create an optical illusion? Describe your mathematical thinking about ways to do that.

Can you see any patterns, fractions, or decimals in your artwork? Where are they?

Think of a mathematical question that you could ask about your artwork.

If someone else wanted to recreate your artwork, what directions would you give them?

Materials

One handout per student

Copies of the 100-square grid handout

Ruler

Colored pencils or markers

Extensions
It is interesting to think about what creates an illusion in optical art. Do optical illusions have certain mathematical properties? One idea would be for the whole class to display their designs and look together to see if certain designs create particular visual properties. If you want to extend this task into a bigger project Wikipedia has some interesting information about optical art. https://en.wikipedia.org/wiki/Mathematics_and_art https://en.wikipedia.org/wiki/Op_art

Reference

Jo Boaler, Michael Jarry-Shore & Cathy Williams

This is a task that combines art, mathematics and design. Students are asked to see and design optical illusions, think about the mathematics inside them and pose mathematical questions for their friends.

Task Instructions

Optical art consists of geometric shapes and patterns, and is often coloured in black and white. Look at the three examples, do you see anything about the patterns that cause them to create an optical illusion?

Using the 100-square grid, create your own interesting pattern. Share your designs with a classmate and find out if they see an illusion when looking at your pattern.

Did you get any more ideas about the ways to create an optical illusion? Describe your mathematical thinking about ways to do that.

Can you see any patterns, fractions, or decimals in your artwork? Where are they?

Think of a mathematical question that you could ask about your artwork.

If someone else wanted to recreate your artwork, what directions would you give them?

Materials

One handout per student

Copies of the 100-square grid handout

Ruler

Colored pencils or markers

Extensions
It is interesting to think about what creates an illusion in optical art. Do optical illusions have certain mathematical properties? One idea would be for the whole class to display their designs and look together to see if certain designs create particular visual properties. If you want to extend this task into a bigger project Wikipedia has some interesting information about optical art. https://en.wikipedia.org/wiki/Mathematics_and_art https://en.wikipedia.org/wiki/Op_art

Reference

Jo Boaler, Michael Jarry-Shore & Cathy Williams

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This is a task that combines art, mathematics and design. Students are asked to see and design optical illusions, think about the mathematics inside them and pose mathematical questions for their friends. Optical art consists of geometric shapes and patterns, and is often coloured in black and white.

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PBS

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Educational games and videos from Curious George, Wild Kratts and other PBS KIDS shows!

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https://learnzillion.com/lesson_plans/2024-9-fluently-adding-a-two-digit-number-with-a-one-digit-number-fp/?card=36728

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abcya.com

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http://www.adaptedmind.com/p.php?tagId=24

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Feed the Fidgits Game . DESIGN SQUAD GLOBAL | PBS KIDS

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Design a farm that uses fish, pipes, and water to grow food for the Fidgits!

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Reading Bear is a collection of free, well-made, multimedia phonics presentations. Your child can learn to read with Reading Bear.

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https://edpuzzle.com/

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Partial Product Finder
Newly updated with support for arrays up to 50 x 50
Partial Product Finder allows multiplication combinations to be represented as a rectangle, or array, with dimensions that match the combination. This helps students develop the flexibility and conceptual understanding required to build fluency with basic facts and strategies for multiplication of larger numbers.
Open Web App Open original beta app

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Free Math Apps These apps are based on the visual models featured in Bridges in Mathematics. All apps are available in two or more versions: a web app for all modern browsers, and downloadable versions for specific operating systems and devices (such as Apple iOS for iPad).

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Explorer Magazine - National Geographic Society

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Educational Games, Worksheets, and More for Kids

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An Educational platform for parents and teachers of pre-k through 7th grade kids. Support your kids learning journey with games, worksheets and more that help children practice key skills. Download, print & watch your kids learn today!

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