The Properties of Operations Graphic Organizers is designed to help students with the properties of addition and multiplication (commutative, associative, identity, inverse, and distributive properties). I copy this back-to-back with my Operations with Rational Numbers Graphic Organizer on blue paper. Students complete their “blue best friend/buddy,” as we call it, as we learn the algorithms/properties. Students then keep their “blue best friend” in the front of their notebooks for reference throughout the year. I also enlarge the last page (the completed graphic organizer) and post it in the classroom as a year-round reference chart.