I have the syllabus for a square dance programme that teaches maths. It was developed by Prof. David Schmitz for colleges but could be split into shorter lessons (the original version is delivered as ten 3-hour lessons). Perhaps you could manage some variation on this with the help of a local caller, whom you can contact via www.uksquaredancing.com. The dance syllabus is set by Callerlab and this maths course uses the moves from the Mainstream and Plus courses. These articles explain the idea:
If you have any problems finding a caller, contact Susie Kelly at New City Squares, who runs our callers' club. She is very keen on using square dancing to teach maths and wrote an article for British Mensa Magazine a few years ago on this subject.
If you can get your pupils up to Plus level they could then maybe set up their own club.