High School mathematics

^^^
Now I’m lost…AB is a year long course as is BC.

Yes, AB is a year long course at high school pace. If BC has a pre-req of AB, then it is splitting the BC into two years and the whole thing is still at high school pace. Many schools have the whole BC course in one year and cover the AB part in the first semester. So it is at a college pace.

@ucbalumnus

So he will finish Algebra 2 honors 9th

Since there are 3 years left and 4 courses to choose from, what would be the ideal course order and selection in the eyes of top universities?

@moscott I agree with @ucbalumnus Your S should not skip precalculus

As it is at most, but not all, schools. As I said earlier, there are many different ways to set up the curriculum; there is no “right” way. BTW, for future reference, it’s not cool to hijack a thread; start a new discussion with your question.

If the high school requires calculus AB before calculus BC:

9th: algebra 2
10th: precalculus/trigonometry
11th: calculus AB
12th: calculus BC

or, if he is really a top-end student in math and highly interested in math:

9th: algebra 2
10th: precalculus/trigonometry
11th: calculus 1 and 2 at a local college
12th: multivariable calculus, linear algebra, and differential equations at a local college

If the high school offers calculus BC as a one year course inclusive of the AB material for students who have just completed precalculus, then this sequence is possible:

9th: algebra 2
10th: precalculus/trigonometry
11th: calculus BC
12th: multivariable calculus, linear algebra, and differential equations at a local college

In all of the above sequences, the 12th grade courses are somewhat optional, if he finds that he is less interested in math and intends to do a major not requiring that much math.

Statistics can be added as an academic elective alongside any of these sequences (or in 12th grade if he decides not to keep advancing along the calculus/post-calculus path).

@usbalumnus Why there is no geometry on your list? Are you assuming testing it out? It is typically between algebra 1 and 2. In our school district, one needs to test out geometry or take it in summer class in order to go beyond Calc BC in HS.

Re #25

22 says that the student will finish algebra 2 in 9th grade, implying geometry in 8th grade.