Passed in 2002, the Technology, Education, and Copyright Harmonization (TEACH) Act was designed to cover some of the new possibilities of distance education as applied to copyright. It allows a wide range of uses for distance learning, but has fairly strict requirements for both the instructor and the institution. A full checklist is available below.
The easiest way to avoid complex questions on this topic is to use videos available through library- or campus-provided streaming access, such as in the Kanopy or AVON databases, which are licensed for this type of use.