Yesterday I gave my students this problem to work on.
Baseball Jerseys. I tried to not be helpful and they were not liking it (at first). I monitored groups and asked questions as I walked around to point them in the right direction. I loosely followed the
5 practices for mathematical discussion for this activity and the discussions were fantastic!
Here are the images I used (in order) to lead the class discussion.

I picked this one, because this is where most groups started, they picked a number and determined the price to each company just to see what would happen. Unfortunately, I couldn't get this group to go beyond this one example, even though I keep asking them "Which company should I pick if I have 10 people on the team?" 

After most group picked a few random numbers to try, they decided to organize their work in a table (some took some convincing). 

Part of the assignment was to give advice. The group that created the table about stopped with the table, they did not give advice. I picked this work next to show how nice this sums up everything. BTW: this group only had the advice and no work. *Sigh* 

I included this one next because this group has a table (I wish they had gone beyond 15) AND the advice below. 

Finally, I showed the class this one because the group wrote expressions for each company, but then plugged numbers in. I wish they had gone further and set the expressions equal to each other. When I mentioned that to the class, they said they did do that but they thought it was wrong. DON'T BE AFRAID TO BE WRONG!! 
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