All exercises are part of the Academic Art of Riding and are derived from the natural movements of the horse.
The piaffe, passage en pirouette are famous exercises from the High School. These exercises are part of the schools on the ground.
Courbette, croupade, ballotade and capriole are part of the schools above the ground and are also called school jumps.
The levade is the connection between the exercises on the ground and the exercises above the ground.