How to connect MAC book pro with apple TV

AirPlay Mirroring requires a second-generation Apple TV or later, OS X 10.8 or better and is supported on the following Mac models: iMac (Mid 2011 or newer), Mac mini (Mid 2011 or newer), MacBook Air (Mid 2011 or newer), and MacBook Pro (Early 2011 or newer). You can see which Mac you have and which operating system you are using by selecting 'About this Mac' from the Apple menu in the top left corner of your Mac and selecting the 'More Info' button.

Simply select the Computers option on the ATV and drill down through the options to find the content desired to play. No need to mirror anything from the Mac to the ATV.

The computer must be on and the iTunes must be running.