As one of our team building activities, I had the students work in groups to put together a 100 piece puzzle (from the Dollar Tree) without seeing the box or talking at all. They had to remain silent the entire time they worked, but they could use non-verbal forms of communication. All six teams were successful, the fastest in just over 15 minutes and the slowest in just over 25 minutes. Not bad, huh?
I created a STEM Challenge packet to go with the activity. It has a lab sheet and a group sheet as well as directions and rules. You could easily do this activity without the packet, but I used it as a way to get my kids to reflect on the activity. Here is the link to the $2 packet.
Looking for a way to get your kids to work in teams? You may want to give this idea a shot!
Smart Chick Teacher's Blog 
I love that you mentioned you got the puzzle from the Dollar Tree—I *love* that place! I think I keep them in business!
There are a lot of great ideas here—thank you for sharing!