Percy might become friends with the misfits or outcasts at school. His kind heart and sense of justice would draw him to those who are bullied. Annabeth, on the other hand, could be respected by the smart kids for her intelligence. She might form study groups and in the process, make new friends. But some students might be jealous of their closeness and the special bond they share.
There could be a group of students who are into mythology and they immediately recognize Percy and Annabeth as special. These students would try to befriend them and learn more about their world. Percy and Annabeth would be cautious at first but eventually open up. However, there might also be some students who are influenced by the monsters in disguise at school and turn against Percy and Annabeth, creating a conflict within the student body.
At first, other students might be intimidated by Percy and Annabeth. Percy's cool and sometimes brash attitude, along with Annabeth's no - nonsense air, could put people off. But as time goes by, Percy's heroics, like saving someone from a falling object using his quick reflexes, would earn him some admirers. Annabeth's helpfulness in solving school - related problems, such as fixing a faulty experiment in the science lab, would also endear her to her classmates. Their relationships would be a mix of admiration, envy, and friendship.