Chances are, your student will have his or her own strengths and weaknesses. By 11th grade, he or she may even be thinking about specializing in an area of interest. In addition to the above subjects, your student should pursue one or two other subjects of interest. Here's a list of possible electives and how to teach them in your liberal arts home school:
Computer Science - not a liberal art, but important. This course would include computer familiarity, application skills, and programming skills.
Philosophy - study the art of argumentation. Have your student read either primary source material from Descartes, Plato, and Russell or find a good introduction to philosophy text.
Psychology - some science curriculum packages offer psychology - what makes the brain work, how do people interact in the world?
Religion - the student studies the theology of his or her religion or comparative religions. You may wish to speak with your religious leaders to discuss appropriate reading and activities.
Sports, Home Economics, Business, Engineering, Political Science - there are so many different areas for a student to specialize in, and the beauty of homeschooling is that you can help your student develop his or her talents - after he or she finishes her lessons for the day.