It depends on how your school has their network set up. If all of the machines have to go through a proxy server that only allows certain sites and rejects all others, you can't.
Maybe that works at your school but read the first sentence above. "It depends on how your school has their network set up." If they have a proxy server that scans a list of acceptable sites and rejects all others and Facebook isn't on the proxy list, You don't make it to the DNS Server. How will a secure login help that?
I agree with you Rob , the NSW Government has given me my laptop , some students at my school have somehow accessed this website and unlocked it by simply putting a password in , I dont know how they did it but , I want to know what website it is , would you know ?
Most likely someone has snagged the password for the school's proxy server. If the students have the password to access it they can surely access Facebook or anything else they want by bypassing the system.