Some happy discoveries this week…

Desmos domain and sliders

Desmos polar curve, click on the image to experiment.

My favourite graphing calculator as regular readers will know is the outstanding Desmos graphing calculator. Preparing some resources for my Further Mathematicians I realised that one can use a slider within a domain thus making it possible to show the curve being traced out, particularly useful for polar graphs but also for any curves. (There are some useful resources on polar curves here for students including some further Desmos pages).

Quadratic (sliders in domain)

Desmos quadratic, select the image to experiment.

Experimenting with a quadratic graph, I have plotted some points and can then draw the curve through these points.

Thanks to the TES Mathematics forum I came across an outstanding resource on Combinatorics questions by Dr Jamie Frost. The high quality here suggests it would be well worthwhile have a look at Dr Frost’s other resources! (Thank you Dr Frost!)

I have been interested in Astronomy since discovering Patrick Moore’s books in the library as a child so enjoyed Richard Byrne’s recent post on resources to help students understand the size of the universeI particularly like 100,000 Stars, a visualization of the 100,000 stars closest to Earth. All those lovely big numbers in Astronomy are excellent for teaching Standard Form; I wrote some time ago on the excellent mathematics resources available from NASA, see this on Scientific notation for example.

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