Another plot might involve them studying for a test on demigod powers. They would compare their own experiences and knowledge, and perhaps even come up with new theories about how their powers work and how to better control them. This would not only help them academically but also in their adventures as demigods.
In some fanfictions, they could be studying in a magical library where the books come to life. This would add an element of adventure to their study sessions as they have to deal with the chaos caused by the animated books while still trying to study.
One interesting plot could be a quest where Percy, Rachel, and Annabeth have to work together to retrieve a powerful artifact. They might face various monsters and challenges along the way, and there could be some tension between Annabeth and Rachel as they both have feelings for Percy.
One plot could be Percy seeing Annabeth spending a lot of time with another demigod on a quest. He gets jealous and starts acting strange around her. This could lead to some misunderstandings between them until they finally talk it out.
Another plot could be Aphrodite giving Annabeth a special charm that makes her irresistible to Percy, but in a way that causes chaos because Percy can't think straight. And Annabeth has to figure out how to break the spell without ruining their relationship.
One interesting plot could be their wedding preparations. Maybe Percy is trying to plan a surprise element for Annabeth in the wedding, like getting a special gift from Poseidon. Another plot could be how they deal with their friends' reactions. Some friends might be overly excited while others could be a bit jealous.
In some fanfictions, the plot could be that Percy and Luke are in a battle of wits over Annabeth. For example, Luke uses his charm and knowledge of ancient lore to try and win her over, while Percy uses his loyalty and selfless acts. Or perhaps there's a plot where Annabeth is in danger, and Percy and Luke have different ideas on how to save her. Percy might want to rush in and fight, while Luke thinks a more strategic approach is needed, causing conflict between them.
One interesting plot could be Percy and Annabeth teaming up for a school project. They might face challenges like different study habits but in the end, they learn to work together and their relationship grows deeper. Another could be Percy getting into trouble with a school bully and Annabeth using her wits to get him out of it.
In some fanfictions, their summer love could be tested. For example, a new camper arrives at Camp Half - Blood who seems to have a connection with one of them. This creates jealousy and tension, but in the end, their love overcomes it all as they realize how much they truly mean to each other. They might have a big fight and then a really emotional reconciliation.
In some fanfictions, there could be a plot where Annabeth is jealous of a new girl who seems to be getting too close to Percy at school. Percy, on the other hand, is oblivious to the girl's intentions. Annabeth has to deal with her own insecurities and at the same time figure out how to make Percy realize what's going on without sounding too possessive. This kind of love triangle - ish situation can add a lot of drama to the story.
Another plot could involve a high - school - themed quest. For example, there's a hidden artifact in the school that has some powerful mythological significance. Percy and Annabeth compete in a school project that unknowingly leads them to discover the existence of this artifact. Along the way, they face rival students who are also unknowingly being influenced by minor gods to get to the artifact first.
One more plot idea could be that Percy and Annabeth are somehow affected by the dark magic of Tartarus. It changes them in some way, either physically or mentally. They then have to deal with these changes while still trying to escape. This could lead to some really intense internal and external conflicts as they struggle to stay true to themselves and also find a way out of Tartarus.