I'm not too sure what will be tested, mainly because we've been at home and all? We've done Sequences and series, Circle geometry, Further Trig, Complex and now we are doing Trigonometric ratios and applications. I think our teacher said when we return to school we may be doing Stats
Cool - study those, that'll help.
I struggle with geometric proofs. Any good websites with videos and questions that would help me with geometric proofs? Thanks
Here's a good video with tips. Yes, it's an hour long, but it's REALLY REALLY good, I recommend watching it instead of doing maths study one night. Otherwise, exposure is the best. Just do every question you can find. Look up "examples of geomteric proofs", and instead of reading through, stop at the bit where they say what they're going to prove, and try it yourself. The more tricks you pick up, the easier it'll become. But starting with Grant's 10 tips in that video will help a lot - and he'll even show you how to apply them to a geometric proof! You may have seen the proof before, but still watch - it'll give you an idea of how to approach things.
Another thing you can do: in a lot of your classes, you're given different formulae and asked to take them for granted. They only work because you CAN prove them. So, you should try and prove them - because it's honestly very possible to come up with a convincing argument for all of them even if not a full proof. Here's some properties that I find really fun to prove geometrically:
a) Prove that (x+y)^2=x^2+2xy+y^2
b) Prove (x-y)^2 = x^2-2xy-y^2
c) Prove x^2-y^2=(x-y)(x+y)
It'll help if you think of x as a line with length x, which means that x^2 is a square with side-lengths x - that way these random algebraic letters become shapes that you can play around with. Also, don't be scared to cut these shapes up - actually get a pair of scissors and cut things up, then play around with them! Hands-on learning can often work wonders