when a person does way more than is required from the situation.

The English word for "doing the most" is: "Supererogation" which is defined as; "the act of performing more than is required by duty, obligation, or need"

Dude 1: Did you hear John did today's homework and tomorrow's homework?
Dude 2: Yeah, John is always trying to impress the teacher, so he's always doing the most.

If you want to be fancy
Dude 2: Yes, John tries to impress the teacher, but doing homework which has not be assigned amounts to supererogation.