Are there copyright considerations when showing a YouTube video in my class?
Display: If a video is freely available on the open Internet (e.g., on YouTube), then displaying such a video in an educational class or workshop is acceptable, provided that it is played live from the internet rather than copied or downloaded. Similarly, displaying a live website (i.e., in the browser) is permissible.
Link: Distributing links (even deep links) or URLs to online resources is appropriate, as long as security is not being circumvented and the material has been posted legally.
To determine that the material was posted legally, with the permission of the copyright owner, check on the creator's or owner's own website or channel, or check for ads before or during the video (ads often indicate that the copyright owner has given permission after the fact, even if the video was posted by someone else).
Embed: As long as the content has not been posted in an infringing manner (i.e. legally posted) and there is no stated restriction on using the materials, then you can embed the video in your course materials.