The teacher forgot oxygen.
Good question from your daughter, glad to know she's thinking.
Shelter, I'd argue, isn't necessary for life, but maintaining your body temperature is, so heat or cooling depending on the circumstances. Of course, shelter is a tool to that end.
Human contact might also be one to put on the list, even though it's not essential in the short term, for most people it is in the long term.
And maybe sunlight should be on the list of long term necessities, too.
This stuff absolutely should be taught in school. Would probably prevent a lot of deaths from people getting stuck out in the elements when driving through the mountains, etc., at a minimum.