Security – Preventing local network access on wireless network

Since the previous answers to this question were written, there have been a couple of RFCs that alter the guidance somewhat. RFC 6761 discusses special-use domain names without providing specific guidance for private networks. RFC 6762 still recommends not using unregistered TLDs, but also acknowledges that there are cases where it will be done anyway. Since the commonly used .local conflicts with Multicast DNS (the main topic of the RFC), Appendix G. Private DNS Namespaces recommends the following TLDs:

• intranet
• internal
• private
• corp
• home
• lan

IANA appears to recognize both RFCs but does not (currently) incorporate the names listed in Appendix G.

In other words: you shouldn't do it. But when you decide to do it anyway, use one of the above names.

You are right to not want to run multiple DHCP servers on the same network, that can end up giving very random results.

Right now it sounds like you have both wireless routers plugged into your main router by their internal ports, using them basically as access points instead of routers (just getting the wireless users connected into the main network and letting the main router do the real thinking).

If the wireless router the students are on allows you to setup your port blocking rules to specific addresses, you may be able to on that one set it to block all communication, then allow specific rules to your internal servers. Then connect that router to your main network by the Internet/WAN port on the router and enable DHCP on it. That will make it so that the students are segmented on their own network and can only access your main network routing through the wireless router, which has the rules setup on it.

So, you would have:
Internet Connection <-> Main Router WAN Port
Main Router Internal Port <-> Teacher Wireless Router Internal Port
Main Router Internal Port <-> Student Wireless Router WAN Port

Anyone connected to the main router or the teacher wireless will be in one network and have normal access. Anyone connected to the student wireless will be in another network behind the student wireless router and be subjected to the rules setup on that router.

Otherwise, you'd want to look into setting up a DMZ to separate the students from everyone else, then setup your specific rules they are allowed to do. Your current equipment may not support this, your main wired router would be the one to look at.