Pete,
Ask whoever invited you to give you a copy of the merit badge pamphlet for Emergency Preparedness. Alternatively, buy a copy at your nearest Scout shop. A reading of the parts you are to teach, and a scan of the other sections will help you to have a better idea of what is expected of your part of the program. Note that earning the First Aid merit badge is a prerequisite to completing the merit badge in Emergency Preparedness.
From your description of the invitation, it sounds as if you are being asked to lend outside expertise limited to the climbing section of this merit badge class to supplement the program provided by the actual counselor for this merit badge.
Feel free to PM me if I can be of any help.
Good luck,
John