Hi pcledwards,
So you go to the Control Center by swiping up from the bottom of the screen and you do not see the AirPlay icon.
AirPlay - iPad User Guide
Use AirPlay to stream music, photos, and video wirelessly to Apple TV and other AirPlay-enabled devices. If you don’t see your AirPlay-enabled devices when you tap the AirPlay button, you may also need to make sure everything is on the same Wi-Fi network.
Display the AirPlay controls. Swipe up from the bottom edge of the screen to open Control Center, then tap .
As it says, "make sure everything is on the same Wi-Fi network". If my Wi-Fi is off for example, I do not see the AirPlay icon.
Thank you for visiting Apple Support Communities.,
Nubz