Help me draft a short letter asking my teacher to move me into a different study hall section. The one I am currently in is run by an arts teacher, but I could use more help from a math or science teacher.
Here is a draft letter for your teacher requesting a study hall section change:

Dear [Teacher's name],

I am writing to request moving to a different study hall section. The study hall I am currently assigned to is overseen by [teacher's name], who teaches [subject]. While I enjoy [teacher's name]'s class, I could benefit from extra help in math or science during my study hall time. 

Moving to a section supervised by a math or science teacher would allow me to get targeted assistance in subjects where I currently struggle. This could help improve my understanding and grades in those challenging subjects.   

Please let me know if moving me to a different study hall would be possible. I appreciate your consideration and assistance.    

Sincerely,     
[Your name]
I think the sentence ''Please let me know... would be possible.'' might sound a bit redundant or useless. Similarly, for other sentences which could be shortened/removed. Could you improve it by reducing the length of it? I'd like it to be more straight on point, albeit being still formal.
Sure. Here is a shorter version:

Dear [Teacher's name],

I am writing to request moving to a different study hall section. The study hall I am currently assigned to is overseen by [teacher's name], who teaches [subject]. While I enjoy [teacher's name]'s class, I could benefit from extra help in math or science during my study hall time. For this reason, I ask to be moved to a different study hall section.

I appreciate your consideration and assistance.

Sincerely,

[Your name]