When I teach younger kids at camp, we take it at their speed. Once we get them comfortable with them on the ground, we put them up into the saddle and hand lead the horse around for a bit just to let them get comfortable. If needed, we can also have a sidewalker. While on the leadline we do hands out, hands on hips, hands on head, all sorts of balancing things, etc. Then we put them on the lunge line and do the same things, still at the walk. I like to mix these thins into a Simon Says game otherwise they can get really boring. I then begin to work on basic equitation and teach them half seat. They start the half seat while honding onto the mane and counting to ten, then a whole lap around, then we do no hands half seat. Then we can start trotting (with a side walker), and then onto the lunge line, starting with a few strides and working it up. Then you can start teaching posting at the walk during the trot breaks. Then, once they're comfortable with a little trotting I like to start walking off the lunge and steering around poles and over ground rails and things like that to mix it up. One thing I have learned is that you can never do too many different things! To cool down the horses sometimes we can also fit in a walk around the property which the students seem to enjoy seeing all of the other horses playing and whatnot.
Hope that helped! Feel free to ask any other questions.
Intermediate Rider~Learning Equitation and English Pleasure~Interested in Eventing
A horse will tell you everything you need to know about him, if you listen.