Unconnected means not joined or attached to anything. If a teacher says the ideas in your research paper seem unconnected, you’ll have to go back and smooth them out. If you’re unconnected to the Internet, you can’t get online.
The word unconnected has many usages. If an island is unconnected to the mainland, there's no bridge. If you feel unconnected to your neighbors, you pass each other like ships in the night. If you can’t get a job because you don’t know anyone, you’re unconnected. Events can be unconnected, too — you might say that your grumpiness is unconnected to the bad grade you got on your math test. The Latin root of unconnected is conectere, "join together."