The student has his/her own box of books. These books are read often and become familiar. Every day 2 or 3 familiar books are read to give the student the chance to be phrased and fluent (sound like a good reader). Fluency is important because it helps the student to maintain meaning, and therefore more readily predict what is likely to come next. Slow, stilted reading does not support understanding, or remembering what has already happened.
When books are reread the meaning is already known and more effort can go into looking at the print. Each time the student rereads a book there is an opportunity to notice something that has never been noticed before, e.g. at and cat look similar.
The homework book is chosen from the familiar books that were read that day. It should be quite easy and it will give the student confidence to read at home.