Meet Karen โ€“ GCSE & A Level Maths and Further Maths Tutor โ€“ 121 Private Tutor covering Wokingham, Reading, Camberley and Farnborough and Online

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None of this was ever useful to me outside exams #ALevelMaths #PureMaths ๐Ÿ˜ญ ๐Ÿ˜ญ
Someone told me yesterday that as of next week, year 13s will be 25% of the way through their final year (assuming they finish formal lessons at May half term) ๐Ÿ˜ฌ How is this term simultaneously so slow and also so fast?! ๐Ÿ˜… #ALevelMaths
#ALevelMaths #MathsToday introduced harmonic form. We looked at potential uses for it (solving equations, sketching graphs, finding max and min values) We also had a good discussion about how to choose which of the 4 forms to use if a question doesn't specify, by looking at the sign of each term.
In Further #ALevelMaths #MathsToday we derived the standard result for a matrix transformation for a reflection in y = mx. Although they don't strictly need to know where these formulae come from (they are just given in the formula book) it is nice to discuss the origins of the rule!
In Futher #MathsToday #ALevelMaths we were using Yates' correction for a chi squared test for association. The students wanted to know why 1 degree of freedom requires a different formula, so we took a detour into looking at where distribution comes from - nice video here youtu.be/dXB3cUGnaxQ?...
In Further #MathsToday #ALevelMaths we were looking at properties of matrix multiplication such as commutativity, distributivity and associativity. It gave a good opportunity to talk about these properties with operations on real numbers (eg division is not associative, but multiplication is)
In #MathsToday #ALevelMaths I used some questions from one of @susanwhitehouse.bsky.social worksheets as a starter... I'm on a mission to get my Y2 students setting out proofs correctly, rather than writing stuff all over the place!
In #MathsToday I met with our #ALevelMaths students who are taking the TMUA in a few weeks' time. We looked at necessary and sufficient conditions, starting with non-maths examples like the one here, then moved on to TMUA questions. It was a lot of fun ๐Ÿ˜„
In #MathsToday #ALevelMaths I posed a nice graph sketching exam question as a starter. Although we have covered sketching graphs of the reciprocal trig functions, and transformations of graphs, it was good to talk through the process of how to answer it in an exam - deriving the cotx graph from tanx