Last term I taught a class in law and economics, mostly (university) juniors and seniors. We spent about two weeks talking about the Constitution. Most of the discussion concerned its economic effects and logic, but we spent one class talking about the primary features of the Constitution, including the rights it is supposed to insure. We also talked about various other common-law rights throughout the course.
On my teaching evaluations I got one of the saddest comments I have ever received. The student said, "I learned more about my rights in this class than during my entire life as a citizen of this country."