Here is a check list before you actually get to teaching.
Environment Check – Be sure that there are no tripping obstacles on the floor or walls.
Unicycle Check – Are all the unicycles in working order? Quick releases fitted and tightened properly and pointing down, pedals tight and tyres pumped up. You then need to be sure that it is fitted to the person correctly. From sitting on the seat the leg should be absolutely straight when the pedal is at the bottom of the stroke.
Safety Talk – I warn people that this is a physical activity and that they should expect fall at some point. They should be aware of riders around them and not ride too close to them. They should listen to advice given as it is often guided towards keeping them safe. I often tailor the talk to warn people of the dangers of the environment they are in eg. Avoid doors, pillars, holes etc. I also ask people if they are prone to falling or breaking bones; if they are then I recommend wearing safety equipment.
Clothing Check – No baggy trousers, no scarves, or dangling bits. I also make everyone tuck shoe laces in to their shoes. I always show my shoes, since I always tuck my laces in it is a good example.
Safety Gear– When you are doing basic level teaching of unicycling I feel that most safety gear is superfluousness, being only required if you want to totally reduce the risk of injury or are prone to injuries. I will add there that a learner should be taught to fall properly, without this then yes they do need protective gear. There are exceptions where I would recommend wearing safety gear; this is where the environment or the person requires them. For example if you are on tarmac; then knee, elbow and wrist guards are useful against grazes. In my opinion learning to ride a unicycle is safer than playing most sports played in schools.