If you are recording to the cloud, Zoom will not automatically record any breakout rooms. If you, as the host of the meeting, are recording locally (on your computer), Zoom will automatically record whatever room you are in (not other rooms). 

If you want a recording from each breakout room, the host can assign a participant in each breakout room to record locally (to their computer) and then share the recording with you via UVA Box, Collab Media Gallery, etc. The host will need to grant permission individually via the Participants icon in order for participants to be able to record.