For the “etude/excerpt/melody,” you can record anything that shows you how you play your instrument. While we’d like to hear you do something in a jazz style, it’s also OK to do a classical piece. Feel free to play something you’re working on in your jazz ensemble or any other school group.
If you’re not sure what to do, here are a few other ideas. Feel free to practice one of these, record it, and send it in!
Blue Monk
Billie’s Bounce
Oregon All-State Jazz Band Etude
If you want, you can record along with the Oregon All-State Jazz Band Etude accompaniment tracks: