I was hoping you would be willing and able to write me a letter of recommendation. My name is xxx, and I am fortunate enough to take two classes with you: xxx and xxx. I am excited to be applying to postgraduate course to learn xxx and would need a recommendation letter from you.
Before I came to UK, I studied xxx at xxx University. My academic result is above the average and you may find my average score on my transcript. I also got xxx in my IELTS test which is quite good among my classmates.
After researching numerous programs, I fell in love with the program at the University of xxx. I realized that between the great professors, varied course offerings, and focus on short fiction, this would be the perfect place for me to grow as a xxx.
I know you are quite busy, so I would be very grateful if you were able to write me this recommendation which is quite important to me. Your motivating words may make my dream come true and I thank you in advance for your time and consideration.