I would relate it to things they know already. For example, if you are talking about the Fall of Númenor, capitalize on the parts that Elendil and Isildur play because these are both characters that they are familiar with. If you start talking about a whole bunch of characters that they have never heard of it won't be very interesting and they could have a hard time understanding it.
Also try to stick to things that would be interesting to people who have no further interest in persuing more of Tolkien's works and would generally help with the understanding of LotR. Thorongil, Aragorn and Arwen, Helm, and the part about the WK of Angmar and Glorfindel's prophesy are all good points that might be considered interesting. Too many names of kings and cheiftains of the Dunédain etc probably wouldn't be very interesting. Appendices A and F would probably be the easiest to teach; Appendix F you could probably do in a week.
I hope this helps!
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