After looking at trig derivatives and the chain rule, I differentiate sin^2 x for my class, ask them to do cos^2 x, and then we look at cos^2 x + sin^2 x, which should obviously be more complicated...

en.m.wikipedia.org/wiki/Anamorp...

Is it this?

I remember reading something recently about how in some sports they are now added digitally to look 'wrong' from a particular camera angle, and therefore more realistic.

The red feels like the odd one out to me.

Which gives me back your original graph.

Maybe it was right all along?

Here is my suggestion then:

Convert it to something parametric (not sure what).

Stretch the two x and y equations separately.

Make it cartesian again.

I shall continue to think.

I think one needs to be 0.5, and the other 2, not both the same.

I can reason that out, but it could definitely confuse a pupil.

It is neater, but this version doesn't feel complete to me without, for example, a justification that k(sqrt(2)-1) must be an integer. It is tacitly assumed above.

Here is my attempt.

A class did one for me an unspecified number of years ago. Such a good gift.

And there was another page of them somewhere else in the magazine as well.

@chalkdustmag.bsky.social had some in the latest issue!

It is Venus!

If you look North West of it, you may be able to faintly see Saturn as well.

www.timeanddate.com/astronomy/ni...

I use this website to find out what things are.

There is also a meteor shower tonight that you might be able to see some of!

In addition to this, with music it is easy to see/hear the application.

Why should I practise scales? Listen to this Mozart concerto.

With maths, it is sometimes harder to directly point at the end goal.

When I was at school, we used to look up the assembly hymn in the metrical index, and then pick a different set of words from everyone else.

Minutes of fun to be had.

(I have enjoyed sight-reading yours a lot - the joy is in when you suddenly recognise the tune.)