In this ongoing, one on one American Sign Language class, the teacher will work with the student on their level to further their ASL knowledge.  An example of a beginners class would include:
First week:  Alphabet and numbers.
Second week:  Introductions and polite conversation.
Third week:  Proper fingerspelling techniques and questions in American Sign Language.
Fourth week: Proper interactions with the deaf community and negative words and statements.

For an intermediate/advanced student, it would look more like this:
Week one, reviewing your prior knowledge and explaining proper interactions with the deaf community.
Week two, starting a grammar review of American Sign Language.
Week three, more in depth grammar study.
Week four, a silent class focused on proper grammar and receptive skills.