This will show you how to enable airplay on bbc iplayer for ipad or iphone.
doing this will let you watch bbc iplayer content on your tv via your apple tv :D
airplay on bbc iplayer
- open the iplayer app
- double-click the home button (the physical button on your ipad or iphone)
- it will bring up the running apps, swipe left till you see the airplay icon
- press the airplay icon and pick your apple tv
- touch your iplayer app again and pick a video.
It will now play on your tv!
Source: Apple Support