1. Exposure (make me use fixed ISO like film and adjust aperture and shutter speed - make me meter - make me prove I know how to do it and why it works, IOW the science of exposure values)
That is to say, teach me light
2. Biological science of human binocular vision, leading to theory and practice of composition like in art class
Advanced: Use of color in composition
3. You can skip chemistry. Its 2015.
But it would be nice to know how to work wet.
4. Teach me how a camera produces a jpeg and how to anticipate what will come off the card
You can offer to teach me digital darkroom in place of chemistry
5. Proper physical technique (hand holding, body control, foot placement, stable base, comfort considerations, carry less, etc.)
You can offer to teach me some advanced concepts such as tripod/monopod/refconverter (hinged LCD), etc.
6. Gear is gear. Maybe teach me how to figure out gear, but don't bother teaching me my gear.
You can skip gear. Everybody else wants to know gear. I want a different class. Forget gear.
7, 8, 9 and 10. Make me go shoot. Evaluate. Shoot more. Evaluate.