I've really enjoyed watching the kids relate this quick get out of your seat activity to the problem solving we do in class, especially those pesky word problems. We work on picturing a problem and I can cue them with "is it covering, surrounding, filling, or wrapping" and I can see students mimicing the actions from the game at their seat to figure out which one applies. This is a cumulative activitiy. I usually start with just perimeter and area and add on volume and surface area as we cover it.
A few lessons I've learned:
1. I warn students that they must not hover around the walls. If I notice a hover-er I will wait until they are at the center of the room and call "perimeter". It's more a threat than anything because in seven years of playing this very few really test me.
2. Make the SmartBoard portion of your wall OFF LIMITS to be used as perimeter. Nothing like seeing a body hurdling towards your $5,000 piece of technology to make you cringe. (FYI: no harm was done)
3. Set clear expectations for going to the walls. I've had one student dive for the wall and get a nice bump on the chin. I've learned to be VERY clear with my instructions for fear of mama-e-mails claiming I'm abusing my students during math time.
Hopefully you can use this and your students get something from it!