Senior Year Math

Hi there!

I'm currently a junior in high school, and I have course registrations coming up soon for senior year. For context, I'm a year ahead in math (ie taking senior-level math as a junior), so I took Algebra I in 8th grade, Geometry in freshman year, Algebra II sophomore year, and I'm currently taking Probability and Stats since I was unable to take Precalc. I had a meeting with my guidance counselor, who said that while I'm not required to take a fourth year of math, it would look better for the competitiveness of my list (NYU, Tufts, Northeastern, etc). She said that my options for math would be Precalc (which I want to avoid due to what I've heard from peers), technical math (which is essentially review of all my past math courses) or AP Stats. However, I'm also planning on taking AP Bio, and I don't wany to overload my schedule with high-level classes. Any thoughts?