What I was thinking to do is to create a city (the city where I live) with Legos, and identify some problems in the city, and to place the LittleBits in each problem inside the lego city, the students have to go out and take some notes and pictures (using IFTTT probably?) to solve the problem, and each time that the students present or send their solution I can activate something automatically in the Lego city.
As you can see is just a first idea that came to my head... I have to think. If you have any ideas, don't hesitate