Vaccine wasn't specifically tested on kids and in the UK anyway we have a hierarchy for vaccination that is something like this:

1. Age 80+ and healthcare or other frontline workers - starting now

2. Age 70+

3. Age 60+ and those with underlying conditions

etc

It's quite a long list and you're looking at millions of vaccinations and boosters before any children will be considered unless they have major health problems. We've done roughly 2 million injections in the UK so far.

Also for minors I suspect the decision to vaccinate will be mainly with the parents not the kids, although it would be nice if they were compliant.

As mentioned below a statistics lesson on the groups of population by age/risk and statistics on catching the virus and outcome would be interesting.