Unit Circle Spinner

While shopping the other day, I saw some of those decorative garden windmill things for sale at 50 cents each. Normally they would be the type of thing I would just walk past and ignore (not really one for gardening), but this time I had an light-bulb moment. So I bought a handful and came up with this creation:

Windmill and unit circle spinner Before and after: the original "Windmill" and my Unit Circle Spinner.

Close-up Close up view.

If you look at it from side on it gives a visual demonstration of sin (or cos from above), represented by the amount of yellow paper you can see and the direction it's pointing in. For example, this is roughly showing that sin(π/6)=0.5:

Side view (Trying to balance the spinner in the right place while simultaneously taking a photo was easier said than done.)

I'm not completely sure destroying a garden decoration was necessary to make this, but sometimes it's good to take inspiration from wherever you find it.

I hope this will help my students understand the definitions of sin and cos (and tan) better than they have in the past. A lot of my previous students have seemed pretty happy to rely on mnemonics like "CAST" to remember where the different functions are positive or negative. Sometimes I wish I could tear that page out of their textbooks.

author

Shaun used to be maths, IT and ocassional physics teacher at a small P-12 school (primary and secondary) in rural Victoria, Australia. He is currently in the process of starting his career again in the United States.

more about me

subscribe to feed

follow on twitter

my website

The place where I put other stuff, usually math related coding:

primefactorisation.com

my other blog

My journey from Australia to the United States:

Dropping the S

my wife's blog

Sarah is also a math teacher, and she's much better at this blogging thing than I am:

Math Equals Love

All content copyright
Shaun Carter
© 2017
Proudly published with Ghost