Spirolaterals
Collect resources
You will need:
Triangle grid paper (optional)
4 or 5 different coloured highlighters, pencils, markers or pens.
Spirolaterals_Squaregrid.pdfSpirolaterals_Trianglegrid.pdfWatch the video to learn how to make a spirolateral.
From youcubed.org - 'Spirolaterals'
Videos created with Christy at Picnic Point PS, Jasmine at Parramatta PS, and Peta at Chipping Norton PS.
Transcript
Transcript coming soon.
What to do
Get ready to make your own spirolaterals!
Write down 3 different sets of numbers that have an odd amount (for example, 1, 4, 2; 7, 5, 3; and 1, 5, 2, 4, 3. It doesn’t matter if the numbers themselves are odd or even – just how many numbers you have.
Write down 3 different sets of numbers that have an even amount (for example, 1, 4; 5, 6, 1, 2; and 8,7)
Draw the different spirolaterals!
What do you notice about your spirolaterals? Record what are noticing.
When you’re ready, watch the next video to see what to do next.
Transcript
Transcript coming soon.
Instructions
Can you find an example of where an odd amount of numbers forms a spiral that doesn’t return to its starting point?
Now we are getting curious! Watch the video to see what to do next.
Transcript
Transcript coming soon.
Spirolaterals_Trianglegrid.pdfInstructions
What happens if we use different paper? Does our conjecture about odd and even amounts, and whether they make a spirolateral return to its starting point, hold true for triangular paper as well? Record your thinking.
When you’re ready, watch the last video.
Transcript
Transcript coming soon.