I had a C in Precalculus Honors first marking period, but I was able to pull that up to a low B this marking period. I understand concepts a lot better now, and am projected to end the year with a high B or low A. I am planning on studying a bit for AB/BC during the summer in order to prepare for it but I also want to make sure my course schedule isn't too overwhelming. I am already planning on taking AP Bio, Physics Honors, and APUSH, as well as two other honors classes.
With your grades in precalc honors and your number of other honors and AP courses, I would suggest taking AP Calculus AB. AP Calculus BC includes AB (calc 1) curriculum during the first half and then a whole second semester worth of new material (calc 2). Since BC is so fast-paced, I would suggest taking AB next year, unless you're planning on spending a lot of time over the summer learning the AB material.
If you really want to take BC, you could take Calc 1 over the summer at a local community college (something that I did to prepare for ap physics C and make semester 1 of ap calc bc easier), which will give you transferable college credit (without having to get a certain ap exam score) and teaches you the first-semester BC material. You could also learn that material through something like Khan Academy.
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