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I'm currently in my junior year of high school, and I've only covered Algebra 1, Geometry, and I'm currently in Algebra 2. The average student at this school would've taken Algebra 1 in middle school, resulting to them being in Trig/PreCal (it's one class, not two separate) this year, enabling them for Calculus for senior year.

Considering my planned major is general physics, I really want to get into Calculus Advanced Placement next year. The problem is that Trig/PreCal is a prerequisite to the class.

After talking to my Math Department, they believe I can self-teach Trig/PreCal over the summer, and are willing to let me skip the class, but they worry that if I do so, I won't get the graduation requirement of four math courses throughout highschool, by the state not counting Calculus because I didn't satisfy Trig/PreCal.

So here's a proposal that involves more of an effect on the university I chose more than anything.

I can take both Trig/PreCal and Calculus AP next year, alongside eachother. This would eliminate the fear of one class not counting as a math course, and allowing me to satisfy the requirement. But to do this — I would need to drop another class, and I've came to the conclusion that the only plausible choice, is science (which hurt to suggest..).

I aspired to take AP Physics next year, but if I dropped the class, I could take Calculus, which I slightly find more important for my major. I greatly worry though that doing this might decrease my chances of being accepted into certain colleges. They recommend four years of science for a physics major, but three is the requirement.

Should I go through with this?

I've been relentlessly told mathematics is more important during high school and it should be a main focus to build a good stronghold for a major in Physics.

I would really appreciate any outside opinions on this matter, from anyone at all.

*Note: If it's any benefit to this dilemma, I plan on pursuing a Bachelors at University of Rhode Island in General Physics, then transfer to hopefully Ivy League and pursue a Masters and doctorate in Quantum Mechanics.