Richard Phillipps

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Richard Phillipps

Richard Phillipps

@PhillippsR

Mathematics Physics Teaching Music Travelling

England, United Kingdom Katılım Temmuz 2013
62 Takip Edilen75 Takipçiler
Mr S Maths
Mr S Maths@MrSMaths11·
In fact I just realised that "opposite angles in a cyclic quadrilateral..." is a special case of another fact. A cyclic n-gon with n even has the sum of both sets of angles counted alternately (1st, 3rd etc and 2nd, 4th etc) are the same.
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Mr S Maths
Mr S Maths@MrSMaths11·
Inspired by yesterday's AQA L2FM paper, here is a circles theorems question. Find x.
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Richard Phillipps
Richard Phillipps@PhillippsR·
@sxpmaths More for Further but: Factorising out fractions eg taking out a 1/6 if we have 2/3 of something - 1/2 something squared - 5. Mathematical induction, simplifying calculations (don’t buy the “they have a calculator” we’re aiming to make them better mathematicians not just get A*s)
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Stuart Price
Stuart Price@sxpmaths·
What ‘critical’ skills would you identify in the early stages of A level Maths? “If a student can’t ___ confidently then they won’t be able to ___ , ___ or ___” I have some ideas (eg solve linear simultaneous equations) but would love to hear others’ thoughts!
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Richard Phillipps
Richard Phillipps@PhillippsR·
@MrSMaths11 Many thanks Mr S! Very kind of you to share your creation, and with solutions as well.
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Mr S Maths
Mr S Maths@MrSMaths11·
I've written an extra set of A Level FM Core Pure papers (Edexcel spec) - my students have done all of the past papers and wanted something else to do. All available on my website with solutions. swintonmaths.co.uk/fm.html
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Dr Frost
Dr Frost@DrFrostMaths·
@Math_efki My impression was that (3) was the hardest, and (5) also difficult to spot the technique.
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Dr Frost
Dr Frost@DrFrostMaths·
Starter for my Year 13s: spotting the right integration technique for subtly different expressions.
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Stuart Price
Stuart Price@sxpmaths·
@takepi21 Here's the "shortlist"😂 Trouble is I do tinker with all of them, so never make good progress with any! I'm planning to pick one each of short/medium/long (my own vague categories) and make them goals for the year
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Stuart Price
Stuart Price@sxpmaths·
Last week my piano teacher asked me to make a shortlist of 3 pieces to work on over the coming months. I’m down to 17 😂 Musicians of twitter.. how do you choose???
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Richard Phillipps
Richard Phillipps@PhillippsR·
@TLMaths Thank you, on behalf of all my own students and my dpt’s students, thank you. The hours you have poured into your videos and cataloguing them on your site has huge impact for the learning, and subsequent outcomes, for so many. Thank you ❤️
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Richard Phillipps retweetledi
Jo Currie
Jo Currie@JoCurrie·
What an interview! Love this from NZ 7s @rubytui 🏉 Beautifully done @JillADouglas
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Richard Phillipps
Richard Phillipps@PhillippsR·
@TLMaths The general shape can be explained by the the cosθ contributing “more” to r=a -π/2<θ<=π/2, maxing at θ=1 and detracting from r=a π/2<θ<=3π/2 also worth noting the shape lays over itself every 2π due to period of cosine. for Type 1 eqn’s y(=rsinθ)=0 has 3 roots and dx/dθ has
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Jack Brown
Jack Brown@TLMaths·
Question on sketching limaçons, r = a + b*cos(θ). I want to be able to clearly explain why when a<b you have a loop, when a=b you have a cusp, and when a>b you have a dimple. I have included r = 1 + 2*cos(θ), r = 2 + 2*cos(θ), and r = 3 + 2*cos(θ) here. /1
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Richard Phillipps
Richard Phillipps@PhillippsR·
@TLMaths Also, without negative r you don’t get the loop scenario 🙂 in 1 you’re firing out towards the left but sometimes misfiring and heading back, as the cosine term is negative for π/2<θ<3π/2, and the term’s magnitude is greater than a for part of it
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Richard Phillipps
Richard Phillipps@PhillippsR·
@TLMaths 4 roots. 2 y=0 has 2 roots and dx/dθ has 3 roots. 3 y=0 has has roots and dx/dθ has 4 roots. Perhaps always worth challenging students to sketch the cases from these properties before showing as they then tend to “get” more of what we’re saying when we go through it
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Stuart Price
Stuart Price@sxpmaths·
I love it when a student answers a 9 mark two part Further Mechanics question in 5 lines of working. #quickmarking
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Matematickcom
Matematickcom@Matematickcom·
What do you think? 😊
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Dr Frost
Dr Frost@DrFrostMaths·
If a student asked you to pick what you thought was the 'hardest GCSE problem of all time', which would you choose? I'd go for this one - there was actually a recent Edexcel A Level question that was essentially the same, although guided via parts!
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