You can wirelessly connect an Apple device to an Apple TV using AirPlay Mirroring. To use AirPlay Mirroring you need one of these with the most recent update available:
iPad iPad mini iPod touch iPhone 4 or higher
While in use:
Before you leave the study room:
To access Control Center, swipe up from the bottom of the screen. If you're using an app that uses similar swipe gestures, like Maps or games, you might have to swipe up twice: once to reveal the handle for Control Center, and a second time to reveal Control Center. To close Control Center, swipe down, tap the top of the screen, or press the Home button.
1. Select WI-FI and Bluetooth.
2. Click on AirPlay to select room.
3. Select Mirroring below the room selection.
4. Enter the four-digit code that appears on the Apple TV on your Apple product.
See what to do if you can't see the AirPlay icon.