I mean like linear functions.. when do you learn this in the UK or just in England?
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1 :
When you least expect it!
2 :
You mean basic linear equations, y = mx + c? My daughter learnt about them last year, at age eleven, This year she's doing quadratics.
3 :
It seems to be key stage 4 which is between 14 and 16 leading up to GCSE exams. This might be useful http://curriculum.qca.org.uk:80/key-stages-3-and-4/subjects/mathematics/keystage4/index.aspx?return=/key-stages-3-and-4/subjects/index.aspx Click on 3 (range and content) and I think the thing you mention is at 3.1e. You need to bear in mind though that different pupils of different abilities will not necessarily study the same things. I do not know if pupils are still put into different classes accoridng to ability, but they were when I was at school, and so different ability groups actually sat different exam papers. This means that the teachers would teach a class only the things that their ability group would encounter in an exam. At my school you could only get a grade A in the GCSE maths exam if you were in set 1 for maths (the top ability group) so those kids were taught a lot more things. If you were in set 2, the highest grade you could possibly get (even if you got 100% on your exams and coursework) was a grade C, because they didn't try to teach the lower ability kids the maths they needed to get a grade higher than that. The exam that the top set took would cover everything that the lower set covered, plus additional stuff too. I don't know if things are still like this, I am talking about the late 80's early 90's, and I think a lot of changes were probably made to the national curriculum after the Labour government came in in 1997. Going back to your question my point really is that it is quite likely that not every child in the UK will be taught analytical geometry. I don't remember doing any of this and I was in a lower set. But if the child is in the appropriate achievement group they would be looking it this sometime between 14 and 16. Obviously many kids don't get past basic addition, subtraction, multiplication etc so would never be presented with an area of maths like this. In terms of grades here,Grade C in the UK is considered "adequate", showing a good basic grasp of maths. Many employers will say that job applicants must have grade C or above in Maths and English.
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