Well, the conventional sequence in high schools in the US is for one year (32-34 weeks, or thereabouts) of coursework as follows:
1 yr Algebra I
1 yr Geometry
1 yr Algebra II
1 yr Precalculus
1 yr Calculus
"College Algebra" is also sometimes rolled into that Precalculus course, and this is often the first time that students see some of the trigonometry that they'll need for advanced calculus topics. For the first portion of calculus, bright students shouldn't NEED anything more than Algebra II.
I have no idea how the scope and sequence compares with AoPS.
