I've just discovered @mathematico_org and although only in its infancy, it's absolutely superb! I'm telling both my Yr13 classes about this tomorrow. Check it out - all A-Level maths resources, tutorials and practice. https://t.co/SFgEheFObJ
@Sheena2907@JamesHandscombe @suedepom @Whitehughes @robotmaths I think you've chosen the direction of acceleration inconsistently! If the dangling particle moves down (3g-T=3a) the particle on the slope moves up (T-5gsin30=5a). The change in sign in the second equation should sort it out
Every year, I find a couple of students want to integrate cos(x^2), say, and give sin(x^2)/(2x). Here's a tonic!
I love how the "only if" part comes together! (And it's good for practising Newton's notation.)
@Whitehughes We need equality of numerators on the domain of the original function, and so we establish their equality for all real numbers, which guarantees what we want. Like cooking coq au vin for someone who doesn't drink: yes we used wine, but by the time you get it it's all gone ๐คฃ
AS/AL Maths + Further Maths Exam Question Pack
- Pure + Stats + Mech + Core Pure + FM1 + FP1
- Q's split by topic using old spec Edexcel (mostly), AQA, OCR and MEI
- New spec Q's, too
- MS + Paper Ref included
- Word version
Download here:
https://t.co/TKlyvPWS9S
Share and RT!
Been an age since my last post but I had to share this - gave it as an extension after geometric series and the class really got into it. (It's one half of the Euclid-Euler theorem, which I just learned about and it blew my tiny little mind.)
@mrsouthernmaths Just to add another to the mix, there's animations on this web page for each one https://t.co/Ils8LUmpfM You can toggle full screen with the wee button on the bottom right, press the pause button and drag the point around. Also the well known theorem redรทblue=purple is on show ๐
@Whitehughes @BentleyMaths@mathsjem@mrbartonmaths@ImpactWales Indeed! Iโve been quiet on here for a while but Iโm always adding stuff to https://t.co/ROb16ika1t. Taking the summer to rebuild things so the siteโs a tad messy right now but ready to go for September.
@sxpmaths I invent them and post them online - some are better than others so I think I have some trimming to do, but some are really great. I do also have some contributions from the mighty @Ridermeister which will soon appear
@sxpmaths I recognise a lot of my own thoughts here! So many parameters to tweak. A successful nudge for me this year is ensuring old topics arise as frequently as possible whilst practising new ones. A lot to gain from this: revision, relevance, connectedness, creativity.
Weโre pleased to announce that our short self-study course for A level Mathematics students, 'Introduction to Data Science', is now freely available on our website!
Find out more and access the course ๐ https://t.co/X5QenOCehJ
@mrsouthernmaths I think you have to use the word "and" in the middle to be fair. Aligning vertically has this effect (even if a very loose convention) but otherwise I feel like the word "and" should be included or implied somehow.
@Whitehughes @ygbjammy Well said. I have to make this very point every year for the past several years at timetabling meetings. It's especially important since it's actually more like 2.5 terms of teaching vs. 5.5 terms so you're already on a backfoot.
@Pencil201 Imagine you're making an angry birds game, and you want to animate the bird with 60fps. Each 'frame' is a position in the sequence, so a 5s flight is a sequence of 300 frames where the height of the bird is a quadratic sequence. Random but that's what came to me!
@Ridermeister I do pretty similar - scaffold the fudgey proof as an extension sometimes just to get the main idea across for those who have the time and inclination, and then kick the epsilon-delta can down the road a bit with "well when you get to university..."
Parametric differentiation. If you're a bit wary of 'cancelling dt', there's a nice connection to first principles that justifies it. Find the gradient between the given points and let h --> 0.