If your system works like most, it has a Local Area network that all of the computers in the school connect to. When the computer you're using requests a site, it links to a proxy server on the other end that compares the site you've requested to a list of acceptable web sites. If the requested site isn't on the list, you're blocked.
Under that type system, there's nothing you can change on the machine you're using to unblock Facebook. You should also be aware that some such systems keep records of attempts to defeat the blocks.