In most schools I've seen, by the time the internet gets to the users device, the quality of service is astonishingly bad. Even in schools that purport to have a big pipe coming in.
Low bandwidth per user, bad access points, frequency clashing, broken switches, aggressive content filtering and firewalls all add up to making it really hard for a student to stream even one educational video from youtube.
5 students in the same class, forget it!
Aggressive filtering, unfortunately, is a necessary evil because students are kids who, en mass, are irresponsible and make dumb choices.
Consider LA has 600K+ students across the district, multiple facilities, and tens of thousands of staff I would say that is on the low end of infrastructure costs.
Our four site WAN runs > 30K/year, 100Mbps circuit is 24K, we're already at ~60K/y in operating costs.
It is easy to see how 800mil on infrastructure is probably not enough.