Glee Question re: Dalton Academy

[switch842]

So, I've just written my first Glee fic and have been reading quite a few, too. And I'm wondering if I've made a huge error. See, all the fics I'm reading reference dorms at Dalton. I assumed that Dalton did not have dorms. There are plenty of private schools that operate like regular schools - kids bussed/driven in for the day and then home. Have we seen anything that concludes Dalton does have dorms? I'm just horribly confused right now...