Option to "Pause" notifications on a device

In public or corporate environments, we often need to share our screen with others. During these times, we also most likely do not want our SMS or other notifications popping up, either causing a distraction to the conversation exposing potentially sensitive content.

It would be great if we had an option to "Pause" notifications on a particular device, either for a specified amount of time(30minutes, 1hr, 2 hrs, etc.), or until the "Play" button is pressed on the device.