Which years of high school (or first year university) would the following topics be taught, (or picked up outside school)?
Approximately, for a child interested in mathematics.
Are there any that you’ve never been taught
By “seen dy/dx” I don’t mean taught how to use it, I just mean have seen it in print somewhere.
the first three are all early high school..
the rest are all senior mathematics concepts (so years 11 and 12)
strike that… there is some exposure to exponential numbers in middle school
mollwollfumble said:
Which years of high school (or first year university) would the following topics be taught, (or picked up outside school)?
Approximately, for a child interested in mathematics.
Are there any that you’ve never been taught
By “seen dy/dx” I don’t mean taught how to use it, I just mean have seen it in print somewhere.
A set: year 9.
Sequence and series: year 11
Order of magnitude: 1st year uni
Complex numbers: year 12
Ordinal numbers: year 9
exp(x): year 11
know what a perspective drawing looks like: perhaps never, depending on what your stream is
differential calculus: year 11
reals v natural: year 12
function f(x): year 11
Abs(x): year 9
Taylor: 1st year uni
diddly-squat said:
strike that… there is some exposure to exponential numbers in middle school
And functions and absolute values, I would have thought.
And maybe the taylor series wasn’t until first year calc.
sibeen said:
diddly-squat said:strike that… there is some exposure to exponential numbers in middle school
And functions and absolute values, I would have thought.
And maybe the taylor series wasn’t until first year calc.
series are introduced conceptually very early on… my daughter has had questions on series in her maths classes in year 8.. nothing on divergent or convergent series but what a series is…
Brilliant, thanks for the fast reply.
Taylor series definitely Uni then. (I knew it by year 12 but I wasn’t your normal maths student)
The others throughout high school and some quite early.
Perspective drawing probably picked up in art class or on TV.
I hadn’t been sure that ordinal numbers or sets were taught at all, so thanks for that info on how early.
I don’t think they deach perspective drawing much anymore in schools, it’s vanishing.
Peak Warming Man said:
I don’t think they deach perspective drawing much anymore in schools, it’s vanishing.
heh
Peak Warming Man said:
I don’t think they deach perspective drawing much anymore in schools, it’s vanishing.
Was there a point you were wanting to get to?
mollwollfumble said:
Brilliant, thanks for the fast reply.Taylor series definitely Uni then. (I knew it by year 12 but I wasn’t your normal maths student)
The others throughout high school and some quite early.
Perspective drawing probably picked up in art class or on TV.
I hadn’t been sure that ordinal numbers or sets were taught at all, so thanks for that info on how early.
I probably did Taylor series in year 11 or 12, but UK high school final years are much more specialised than here.
Also had to look it up to remind myself what it was.
Perspective drawing would have been in art class, probably year 6 or 7.
Dark Orange said:
Peak Warming Man said:
I don’t think they deach perspective drawing much anymore in schools, it’s vanishing.
Was there a point you were wanting to get to?
That is all the preliminary mathematics necessary in order to get a basic idea the eighteen or so different systems of infinite numbers that have been developed in the history of mankind. I had been wondering if I was asking too much of readers to expect them to have learnt all those by the end of high school.
I finished high school in 1982 and we never tackled calculus, but after going to uni more recently it was established that it certainly was part of the curriculum.
Spiny Norman said:
I finished high school in 1982 and we never tackled calculus, but after going to uni more recently it was established that it certainly was part of the curriculum.
I’ll just finish my sentence -
… it’s been part of the curriculum for several years at least now.
mollwollfumble said:
Which years of high school (or first year university) would the following topics be taught, (or picked up outside school)?
Approximately, for a child interested in mathematics.
Are there any that you’ve never been taught
By “seen dy/dx” I don’t mean taught how to use it, I just mean have seen it in print somewhere.
8
7
9
10
4
7
5
8
8
8
9
11
in a standard K,1,2,3,4,5,6,7,8,9,10,11,12 school system
mollwollfumble said:
Dark Orange said:
Peak Warming Man said:
I don’t think they deach perspective drawing much anymore in schools, it’s vanishing.
Was there a point you were wanting to get to?
That is all the preliminary mathematics necessary in order to get a basic idea the eighteen or so different systems of infinite numbers that have been developed in the history of mankind. I had been wondering if I was asking too much of readers to expect them to have learnt all those by the end of high school.
lol
Thanks for all responses.
As a side note.
On entering maths at Uni it was assumed that I had learnt e^ix = cos(x)+i sin(x) in High school.
I hadn’t, and had a bit of catching up to do.