You can do one of several things:
In any case you MUST have access to the switch room (comm room or 'hub room')
The first thing is to note the DROP number on the wall next to the jack (drop) you want to find. Then go into the hub room and look for a corresponding number, letter, or number-letter combination. There should be a patch cable from that drop to the network switch or router port.
More than likely, it's not 'one router'. It is a network switch and THEN all the switches connect back to central core switch or router.
You would need specific tools though. One is called a "Fox and Hound". The idea is that you plug a device into the data port in the classroom that send a warbling tone on to the cable.
In the hub closet, you take the 'sniffer', and run it along the patch panel or wire bundles until you get hear that loud warbling sound. You have found the cable or drop.
9 times out of 10, a bad 'physical layer' (Network Layer 1) connection is a BAD patch cable in the classroom or in the hubroom from the drop to the switch (router).
It is possible the port is in a SHUTDOWN status on the switch as well. Network port security could be activated to shut down a port if it does not see an allowed MAC address connected to that port in the classroom (that is to prevent students or other individuals from bringing in personally owned, unchecked equipment and attaching it to the LAN and causing problems or hacking).
Router ports generally do NOT go bad (VERY infrequently).
If you do not know networking keep your hands out of this as you will only make things worse, but I'll continue to tell you the troubleshooting steps...
The things to troubleshoot this is:
Take a known good computer and patch it to the drop in the classroom. Do you get a connect light? If not, then replace the PATCH cable with a KNOWN GOOD patch cable. Still no connect light? Then go to the hub room. You MUST know which drop the classroom wall drop connects to in the hub room patch panel (either by label or by fox and hound). Find that and see that it IS connected to a a switch port or router switch. If it is, and no light, then REPLACE the patch cable in the hub room with a known good patch cable. If still NO light, then MOVE the cable END that is plugged into the router or switch port to an UNUSED port (one that has no cable in it, there should be several). If you get a a connect light, then the port is probably shut down and a the network people need to check the configuration or status of that switch or router. If it still does not CONNECT after you move the cable, then there is a good chance that the cable has been cut or otherwise disabled someplace in the wall or ceiling. Many times workers can yank, pull or cut a cable and do not know it.
Another device you can use to test the wall cabling would be a time-delay reflectometer (TDF), and that function is built into may network testing and troubleshooting tools (Fluke "NeetTool", Optiview Protocol Analyzer, etc). Plug the tester into the classroom drop and hit TEST. Generally if there is no WIRING issue, the tester will indicate something like all good wiring to the switch at 100' and it will show you the transmit and receive pairs... if there is an open someplace (broken wire or punch down wiring) it will tell you which wire is open. You can also get more specific if you put a loopback connector on the end of the wire in the hub room and then run a test...the TDF sends a signal down the wire and if there is a break, it will reflect back to the device and it sees and calculates the distance to the break. Very accurate.