Jazz sight reading on the trombone is widely considered one of the most difficult skills in modern brass playing. The slide positions are slower than valves, the partials are unruly, and jazz harmony moves fast. Yet, the best studio trombonists (think JJ Johnson, Carl Fontana, or modern players like Marshall Gilkes) make it look effortless.
In a professional audition, you cannot mark your part. You have to visually group rhythms.
Pro tip: Subdivide the beat as a triplet (1-trip-let, 2-trip-let). The middle triplet is the "swing." Internalize this so deeply that you don't have to think about it. When you see two consecutive eighth notes, your slide should naturally articulate the first longer, the second shorter. Jazz trombone parts are often minimal. You might see a staff with slashes ( /// ) and chord symbols (Cmi7, F7, Bbmaj7) written above. The sight reading test isn't just playing the slashes—it's improvising a walking bass line or rhythmic hits that fit those chords.
Unlike a trumpet or saxophone, the trombone requires a specific slide position for every note. When sight reading a dense jazz chart, your brain has to process the written pitch, translate it to a slide position (1st through 7th), adjust for intonation (because jazz often uses blue notes), and then decode the rhythm.