The jazz ensemble warmup is a great opportunity to teach some scales that are useful in jazz improvisation. Common modes like mixolydian or dorian will help get the players moving around their horns and will also give them some basic improvisational tools.
Tight rhythm and phrasing are hallmarks of any successful jazz ensemble. Singing is a great way to develop a collective sense of articulation and playing “in the pocket.” Singing through parts allows students to develop an aural sense of the music without the struggle of making it sound on their instrument.