If you didn’t go in IN PERSON to SSA to show them your documentation for change in status from non-citizen (probably green card holder) to citizen, the status has not been changed. No other government agency or court sends the info to SSA. Only the Dept of Homeland Security or the State dept (issuing a passport) can determine citizenship status, so even if you bring in some other proof (like a copy of your parent’s paperwork and the law that show you are automatically a citizen under them, or a copy of the child’s citizenship act), the SSA won’t ‘interpret the law’ and can only take a certificate of citizenship or passport to change your status. Even if you did do this (show up in person), there is a good chance it wasn’t done correctly. I’ve seen it a lot of times that the status just doesn’t get changed.
You’ll have to show your passport to the school administration. They are not allowed to accept a notarized/certified copy of your passport. I’m not saying they won’t, but by federal law they have to see the original. Many schools will take the copy to get things processed before school starts, but they aren’t supposed to release any funds until they see that original and will release as soon as you show up in August with your passport.