You connect to some wireless access point or router.
But that router itself is connected to the internet, too.
The connection between the internet and the router can be interrupted and then your laptop won't tell you, as it's connected to the router and everything seems fine for the laptop.
The router just keeps sending it's wireless signal to your laptop, but the signal doesn't contain any information from the internet. Signal is still there, though.
Another problem could be that the internet provider that your school uses had some issues. This happens a couple of times a year with most providers.
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