A relaxing way to start to teach a child how to knit, is by doing finger knitting, first of all. All you need to do is google a tutorial you like, and use a ball of yarn from your local craft store. (Dk is a good one to start with).
Generally it is a weaving technique through the fingers and the child can quickly produce a masterpiece.
We let the children create wrap round scarfs for their necks. How about tying in some different coloured yarn to give a happy rainbow effect?