Watch videos of the choreographer's previous work or the team's previous performances. Note whether their movements are sharp, dramatic, fluid, sultry or legato. Incorporate these stylistic elements into your practice.
Learn what level of technique you will need. Ask current team members, or draw your own conclusions by watching their performances. Ask your teacher what areas you need to work on, and drill those things daily.
Find out what the tryouts will consist of as early as possible. If you need to choreograph your own routine, begin working on it several weeks in advance, so you have time to polish it and learn it perfectly.
Practice smiling while you dance. Cheer squads and dance teams choose performers who shine and exude enthusiasm. Dance in front of a mirror and practice dancing with an expression that shows how much you love it.
Take any pre-audition classes that the squad, team or choreographer offers. These classes not only give you a chance to develop the specific skills you will need, they also give you a window into the auditioner's mind, so you know what she is looking for.
Eat healthful foods, get plenty of sleep each night and do cardio exercise regularly in the weeks leading up to the audition. Take care of yourself so you are in the best shape possible at the tryouts.
Remind yourself frequently why you want to make this team or get this job. Dance can be exhausting, competitive and stressful. While you prepare for a big audition, take the time to remember your passion for the art of dance.