Dear (teachers name),
I wanted to talk to you about going on a vacation a week before spring break. Maybe state something like you’ve been very stressed out because of school maybe other factors like a home problem or for mental health reasons (since that’s more of a valid reason). State how this vacation could help you. Maybe say I think this early vacation would help me decompress and get away from the stressors of your everyday life and that you need time to focus on yourself so that you can come back from break as your better or higher self and work to your full potential. I would add in after your explanation that you had talked to the principal before hand and you got approval and that they see your point of view of the situation but you wanted to get approval from your teacher beforehand since you be missing school. I would also add in that all work would be made up from the time that you will miss and that you are willing to compromise on how you can get that done.
I hope this can help some!