Tim, my reply to another thread (
https://permies.com/t/45749/education/Alice-Challenge) may connect with this. However, most of the projects I suggested there don't fit in a week - they're longer research projects intended for a slightly older group. However some, like the solar water heating, might fit your situation.
Also, I'd love to hear more about your list of projects... especially if any are easily expanded into a useful permaculture related research project for the purpose described in the other thread.