I started class by giving each student an index card. I asked them to write their name on the lined side and two integers from -12 to 12 except 0. Like this:
Next I told them to flip the index card over to the blank side and write the sum and product of the two numbers like this:
Once they were all finished I took the time to walk around the each student and make sure he/she added and multiplied correctly. It only took a minute but I did find a few mistakes.
Then the fun begins. Each student was to hold his index card so that the Add/Multiply side was showing and the two original numbers couldn't be seen. All students were asked to stand up and go from person to person and try to figure out their puzzle. In other words, "What were their original two numbers?"
The students really seemed to enjoy trying to figure out each other's puzzles. They especially liked when they stumped someone.
Overall, I think the activity was a success. But I did find this stink-poop drawing on the board after class so I'm not so sure anymore.