Differentiating your instruction includes flexible grouping structures. Use these three templates for students to choose and record partners' names for later use. The templates are each on letter sized 8 1/2 x 11 inch paper, two to a page so you can chop them in half.
The Appointment Clock sheet allows for up to twelve different partners. I've used this sheet with middle/high school students. I play "Rock Around the Clock" while students get the names of twelve different classmates. For example, Jose and Katrina agree to be 3:00 partners so each writes his/her partners' name in the the 3:00 slot. Students glue the sheet into their Interactive Notebooks for later reference. During the semester, I randomly select an appointment time during class, saying, "Students, please meet with you 11:00 partner to work on this problem."
The Season and Playing Card partners are the similar, but allow for only four partner choices. They are perfect for younger students! You can say, "Today, we will be working with our Summer partners."
And just for fun (for older students), Emoji Partners! Hee hee!