You need to get permission from the network administrator to ''plug in'' a Wireless Access Point (WAP).
Once you have a WAP (with the security settings your network administrator recommends), any computer that is to make a wireless connection to the WAP will need a Wireless Network Adapter.
The Wireless Network Adapter needs to be compatible with the WAP's broadcast standard (wireless-g, wireless-b, wireless-a).
Cheapest WAPs are often Wireless Routers that can be configured to function as a WAP.
I work in a school with the internet connection distributed to every room through ethernet ports on which every computer must plug itself to. What is the cheapest/best wireless adaptor I can get that will just require being plugged into the ethernet port?
I want to use my laptop anywhere within the range of my classroom.

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic