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. 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?
The more you put in, the more you get out!
a. How can you see the pattern growing?
b. How many blocks are used for pattern 4?
c. How many blocks are used in pattern 10?
d. Can you create a rule (or a formula) to decide how many blocks are needed for ANY number in pattern?
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Have a go at these two strategies. If you are struggling with the Reversibility, then maybe don't try Subtraction using Equal Addition until you have that one nailed!
This is a really fun strategy to use because it is visual.
This will work for subtraction up into the 1000s, millions, and even with decimals.
Another fun one to do.
REMEMBER : always TIDY the number you are TAKING AWAY, not the number you are Taking From.
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We want to find out how different our Senior School classes taste buds are. Using the DATA from YOUR CLASS below, graph the information to find out what was the most popular Pita Pit ordered yesterday.
What sort of GRAPH would best show the data?
What does a GRAPH need to have to correctly show the Data?