What type of letter would be valuable for recommending prospective students?

We seek recommendation letters from students and parents committed to strengthening our family. The letter should highlight the prospective student's capabilities, achievements, and potential to benefit from our program.

"I would like to recommend XYZ from XYZ High School for Random Math. He has applied for this year’s summer camp. He is a very fast learner and has some experience with competitive math. He is extremely good at calculus, and he is currently the only person at XYZ High that is taking AP Calculus BC as a freshman. He was also a part of our XYZ High Stanford Math Tournament team and, along with being a good team player, he was able to solve some of the difficult problems."