The experiment was carried out to record how children coped with life away from the lure of screens.
Abbeyfield School says the closure was caused by a power outrage in the area overnight.
Plans to offer secondary education on island to those aged 14-16 will go before Chief Pleas.
The secondary school pilot project hopes to put young people "on the path to a safer future".
Joshua Snow, 28, was jailed for nine months at Nottingham Crown Court on Tuesday.
Some parents have kept their children off school following an alleged 30-pupil fight on the premises.
The teenager, from Sheffield, was arrested on suspicion of malicious communications, police say.
Posts encouraging fights between different schools are emerging on social media.
Police confirm they have received no reports of any offences or injuries linked to the trend.