A system and assembly for moving and aligning teeth is disclosed. The system comprises multiple plastic trays and caps that are formed to provide required mobility to a patients back teeth. These molds are adapted to be placed over and apply a modest force on any out of alignment back teeth. The molds are adapted to be replaced on a regular basis, such as once every thirty days, or as needed. The system further comprises two sets of plastic caps adapted to be disposed over the patients front teeth. Each set of caps is joined by a nitonol wire that is disposed to join all of the caps. The nitonol wire is coupled to the caps by, for example, brackets that are disposed on the caps. The nitonol wire is adapted to provide a modest force on the teeth that have individual caps, thereby straightening and aligning them.