No, I went to public school from k-12. They started to tweak with the name a little bit when I was enrolled--started as "GT Math/GT Verbal" or "Gifted"--and then they "oh but *every* child is gifted in some way" sentiment started creeping in, and I think it's just called "GATES" now. (Which means the same thing, except the "gifted" part is concealed.)
In high school, most core classes came in levels 2, 3, 4. (Except freshmen courses, which only came in 3 and 4.) "Level 4" is the equivalent of honors, but the school didn't formally refer to it as such. (Because feelingz and parents with teh sadz.) "Level 3" is what most normal districts call "College Prep." Ironically, due to the lack of level 2 options freshman year, the level 4 classes were PACKED with people who shouldn't have been there, but didn't want to be thrown in with people who shouldn't have been in level 3 either.
We had a lot of APs as well starting from sophomore year, but Maine didn't really do dual enrollment. This may have changed, as I am old.