Well, Draco could be punished by Snape for being disrespectful in Potions class. Snape might order Draco to write a long essay on the history and significance of a particular potion. This would not only be a humiliation for Draco but also a chance for him to gain more knowledge about potions. And it would add an interesting dynamic to their relationship as Draco would be resentful at first but might end up learning something valuable.
Draco could be made to stand in the corner of the classroom during the entire potions class as a punishment. This would be a public humiliation for him, especially in front of his peers. It would also show Snape's no - nonsense attitude towards misbehavior.
Snape could also punish Draco by deducting house points. Since Draco is in Slytherin, losing house points is a big blow to his pride and to the whole Slytherin house. This would make Draco the target of his housemates' ire, adding to the punishment's severity.
Yes, there are likely many fanfictions that involve Snape, Draco, and Potions class in a non - adult way. For example, there could be stories about Draco struggling in Potions class and Snape being his strict but fair teacher. Maybe Draco discovers a new potion under Snape's guidance and it helps him in some way, like impressing his friends or getting better grades.
One reason could be Draco's arrogance. If Draco shows too much pride and disrespect in class, Snape, who values discipline, would not tolerate it. For example, if Draco mocks other students' potions attempts, Snape might punish him.
One possible plot could be that Draco is having trouble with a particular potion in class. Snape, seeing his struggle, decides to give him some extra help. As they work together, Draco begins to understand Snape better and realizes that there is more to him than just a strict teacher. This could lead to a friendship or at least a mutual respect between them.
Well, Snape could punish Draco by making him write lines about the importance of Slytherin values. Since Draco is a Slytherin and Snape has a certain pride in the house. For example, he might have to write 'Cunning is a Slytherin strength and should be used for the good of the house' a hundred times. This not only disciplines Draco but also reminds him of his house identity.
One plot idea could be a student discovers a hidden potion recipe in the potions class that has the power to reveal one's true self. This causes chaos as some students are not ready to face their true selves. Another idea is that there's a competition in the potions class where the prize is a rare ingredient, and the main character has to outwit their rivals. A third idea could be a new student who is a natural at potions but is being bullied by jealous classmates, and they use their potion - making skills to stand up for themselves.
Maybe Harry has had some secret interactions with Snape that the readers haven't known about yet. These interactions could have made Harry feel a father - like connection to Snape, and in the heat of the moment in potions class, he just blurts it out.
Snape could also assign Draco to do research on a particular dark magic item or spell. This would be a punishment as it would involve a lot of time and effort, and also expose Draco to the dangerous side of magic that Snape wants him to be cautious about. It also gives Draco a chance to learn more about the consequences of misusing magic.
Snape's punishment can initially strain their relationship. Draco might feel resentful towards Snape for singling him out and giving him harsh punishments. For example, if Snape makes Draco clean the Potions classroom alone, Draco may think Snape is being unfair. However, in the long run, it could also strengthen their relationship. As Draco matures, he may come to understand that Snape's punishments were a way to guide him and keep him out of real trouble.