First, so everyone knows, this outline DOES NOT contain any factoring problems. I plan on just grabbing some factoring quadratic trinomials into a product of two binomial problems from our textbook or software the day of to use!
Here is how this activity works: I create two circles of desks facing each other, and have the inside circle stay in the same seat the entire time. The outside circle rotates clockwise to get a new partner each time. They will have to write the other person's name, ask them a random question (provided to the students on the paper), and then factor a trinomial together. If you rotate the problems counter-clockwise, it seems to work fairly well. If students get duplicate problems at any point, I just have extra problems cut out ready to use so they can have a new problem.
I use this as a review for factoring before we begin to solve quadratic equations by factoring. It can easily be modified for any type of problem, not just factoring. Once you download the PDF, feel free to contact me if you wish to have the .docx file to edit, and I will send it your way.