Make a DIY mathematics trail.

A mathematics trail is an excellent activity. A mathematics trail might be something that students make themselves, possibly for other students to use, or for a Family Maths occasion, or for a community event. Presenting the making of a mathematics trail as an opportunity for inquiry-based learning (which is probably similar to, but not the same as passing the buck) could save the teacher a lot of time in preparing the trail. Pedagogically, it shifts some of the where-is-the-mathematics-in-this? type of thinking to the students - activating the maths curse and stimulating their own creativity! (Catchy expressions such as "ownership", "constructivism" and "student-centred" also spring to mind).