From this
MSDN document[
^], it is stated that you can (to an extent) use the EF 6 (or below) with Visual Studio 10, above this version the support is for versions later of Visual Studio. Read the entire document, to know whether frameworks support your development, or you would have to update.
In my opinion, leave the Visual Studio 2010 and upgrade your IDE environment to Visual Studio 2013 (or 2015)'s Express or Community edition. You will find great library and extension support in these version, 2015 is the latest version.