This is a form of competition obedience. The dog and handler move through a course of signs, set up to direct movement through the course and to execute or maneuver certain exercises.
AKC Rally Novice, Intermediate, Rally Advanced, Rally Excellent, Rally Master, and Rally Choice.
Pictured here is Kath Cook and Gidget vom Mika-Ashmead showing at an AKCRally trial (Novice Rally class is done on leash).