Daughter of Nothing : The Scion Chronicles #1

The orphans at the Scion School believe they are being trained for a great destiny, to bring humanity back from the brink of extinction. They live a regimented existence, studying math, literature, and the martial arts. But when Jacey, seventeen, is caught alone with a boy-a severe infraction of the rules-she becomes an outcast among her classmates and the object of unwanted attention by the drug addicted headmaster, Dr. Carlhagen. Aided by Socrates, the school's AI professor, Jacey must piece together the clues of who she is and take control of her own destiny.