Hello,
I’m a freshman in high school, interested in engineering, and I’m currently taking Algebra 2 Honors.
However, this feels like “baby math” to me. I’ve taken an online course for Precalculus/Trigonometry Honors, and I received an A+ grade.
I talked with my school administrators about skipping to Calculus next year. I hadn’t gotten prior approval from the administration for the online course, so I cannot receive credits for Trig Honors. However, since all the courses at my school are “open access”, they’ve approved for me to take Calculus BC as a sophomore.
I was wondering, do elite colleges require taking Trig Honors/getting Trig Honors credits? Will the absence of Trig Honors credits negatively affect my college application?
Here would be my math pathway:
9- Algebra 2 Honors
10- AP Calculus BC
11- AP Statistics
12- Multi-variable Calculus Honors
Thank you.
(sorry I posted this in the wrong forum, but any replies would be appreciated nonetheless) 
You may want to try this quiz to check how ready you are for calculus: http://www.math.buffalo.edu/rur/rurci3.cgi
If you took the online course from an actual online high school or college, you will include it on college applications and send a transcript from it when transcripts are needed. Even if it is not an “official” course that shows on a transcript somewhere, a college that you apply to will see that you completed more advanced courses like calculus.
No, you’ll be fine. However, many kids who take Calculus BC as sophomores also take multivariable calculus next year and linear algebra (in school or dual enrollment) as seniors, is this something that may be possible for you? AP Stats is considered by many to be inferior to college stats class, and a break from calculus might make it harder to study multivariable calculus.
I think you will be fine. Four years of math meets the requirement, and it sounds like, if you stick to your plan, you will eventually exceed that.
Review an SAT Math 2 exam book, like Barron’s etc. It should help fill any gaps in your knowledge in preparation for Calculus BC.
I also agree with the reply above about skipping AP Statistics if you have better DE alternatives.