Front door. Almost a third of burglars enter homes through the front door, so you should install a camera pointed in that direction. Install the camera on the second floor, out of reach of the burglar.
Back door and any other entry door. Another 20% of criminals enter through a back or side door.
Off-street windows. These are windows not visible to the street.
Backyard. If your backyard fence has a gate, then make sure the camera has the gate in view.
Basement stairs. People can sneak into a home through a basement window, so install one on the basement stairs. Your camera should have night vision.