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.
Blues-Based Warm Ups for the Jazz Ensemble
Blues represent a great way to warm up any jazz band. In addition to providing the foundation that jazz, rock, and rhythm and blues are built on, the blues progression is simple enough for beginners to explore.