I am in my first year as a mathematics professor at the University of South Carolina. Having moved here from Stanford, I've noticed several things. (1) Many students are woefully underprepared. In my calculus classes I have found that a great many of the students have not mastered high school algebra. And these are the students who pass our placement exam, and aren't obliged to take one of our many algebra and precal…
That's been my experience tutoring all of my younger siblings.
I think that we'd be better served if all 4 years of high school were spent mastering basic algebra (with exceptions of course).
A mastery of basic algebra will better prepare you for college than a cursory understanding of trig and calculus.