Oh yeah, that’s certainly an option for him. Michigan State is on our radar, as is Florida (if he’s a NMF), and Utah sounds like a good option as well.
We might split the difference and have him do 4 of SS and 3 of Spanish…if only because he hates Spanish class (his only B last semester). Replacing it with university-level math probably won’t hurt too much, especially since UIUC is the only college he’s likely to apply to that recommends four years of a foreign language. But we have a year to decide that.
There isn’t an AP test for linear algebra, unfortunately, so a high school or college class in the subject is the best an American student can do.
I think (and he thinks) it’s the former, but you can’t really know 'til you do it. It could backfire.
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From what I’ve seen from lurking around here, most colleges are looking at the highest level completed rather than the years in HS.
The 5s I’m not too worried about; he’s a very strong test-taker. That’s why he’d probably be better suited for the British college admission system than the American one (other than going to an American high school).