Ks5 homework, fortnightly. Assessments for all key stages, every now and then.

I guess the good old "the proof is trivial" is this

Should move to A-level (hides)

sometimes you just need to spend a load of time on stuff and acknowledge it just needs patience esp with LPA

Later in lesson I gave them f(x)=(x²-1)/(x²+1), {x:x>0} to find the inverse function of

do you think that's your own preferences or do you think there's a hierarchy of loveliness?

Here's mine. Was a genuine delight to see angle addition formulae in the wild 🤣

Circle(s) is the key, I think!
It seems like we don't even need those two angles (a, b) to be equal.
In this diagram, the shaded triangles are congruent (SAS) and so both bases are 5root2.
[Seems too simple - am I missing something??]

This is really nice!

pentagon has 5 sides...

Then it started pumping all sorts of bile into the timeline and the Southport riots and I was done

When he took over my engagements just sunk... went from about 200 likes every time i put a resource out to barely in the teens. It's completely useless.

How do you even begin to achieve this?

The follow up in my head was what is one quarter, three quarters of, and I actually love this answer and the generalisation that ensues

This is awesome