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$\begingroup$ There are many things to consider here. The UK curriculum is undergoing major changes with the Mastery agenda. Do you have any topic in particular in mind as a start point? $\endgroup$– KarlCommented Jul 31, 2015 at 22:03
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$\begingroup$ Which topic was the mini lesson? Briefly what did you do? How did you do it? I think asking for advice is a great start and very encouraging for the future. $\endgroup$– KarlCommented Jul 31, 2015 at 22:19
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$\begingroup$ @Karl I taught a group of six A-level students about the compound angle formulae from C3/4 trigonometry. I created it in the form of a presentation using LaTeX, including colourful diagrams and engaging visuals. I started by asking students whether the sine function distributes over addition (the answer is no) and then stated the formulae, then providing a visual proof (for the case where the angles are acute and sum to less than $\pi/2$. I then went through some worked examples and then let students do an exam question at the end. Probably a bit too much for 20 minutes in hindsight! $\endgroup$– user5447Commented Jul 31, 2015 at 22:25
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$\begingroup$ @Karl I know how to make aspects of the A-level course more rigorous, for example, providing the precise mathematical definition of a function - rather than just a rule $f(x)$ that does something to $x$ to give a value. Also, providing proofs of results that are often taken for granted (provided that this can be done without using techniques beyond the scope of A-level). I understand that there are major changes to the GCSE syllabus, and that there are changes in the A-level course structure, but do you know where I can find out more about this change (e.g. Department for Education/Ofqual)? $\endgroup$– user5447Commented Jul 31, 2015 at 22:33
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