How can I convince my parents to let me go to boarding school?

-Ok, so I'm super smart and public school is so boring because I already know most of the stuff they teach me and then when I am actually learning stuff the teacher goes super slow because 90 percent of the class is too dumb to understand it so we have to keep on going over it and all I want to do is go on and learn the next thing. My dad is with me on the boarding school thing even though he says he'll miss me, but my mom won't let me go because she doesn't want me to leave. What can I do, because I cannot stand another day of public school. I tried asking to go to private day school, but they can't afford that, and private day schools don't give financial aid scholarships like boarding schools do. PLEASE HELP