Rec Letters for Research Summer Programs

Hi,
I’ve been asking the same teacher (my honors chemistry teacher) for so many recommendations for science programs I’m applying to. I’ve applied to only science programs. Is it a bad idea to ask my advisor (doesn’t actually teach me anything) for a recommendation to a science summer program? If asking my advisor is a bad idea, how do I politely ask for my science teacher to write me many more recs?
Thanks so much!!