In addition to practicing the steps, you can start training your ear to hear ballroom music in lots of music you would otherwise not pay attention to for dancing.
But I totally agree with the other advice to this question. There is something very strange about ballroom dancing in that the steps you learn in a lesson can vanish from your mind in no time if you do not write them down, and go over them again either the same night or the very next morning. Also, there is a trick to writing down steps, and that is basicaly that you have to do it in a way that you will be able to decipher them in the future. Writing down steps, with no idea what it means, is almost worse than not writing them down. You really have to put down your R and L, as well as whether you are going forward or backward or to the side, and also whether it is a slow or quick step AND what your body is doing at the time -- open, closed, promenade, etc.
So don't be afraid to write down a lot of information!
When I am done teaching someone, I often help them decipher the steps and how to write it down so it can be understood a week later, if that's the next time they'll be looked at.