Intelligence is not consciousness. Consciousness is the thing that animates otherwise dead matter.

There are times when I am particularly conscious because I am concentrating, there are times when I am less conscious because I am in a flow state, and there are times when I am essentially not conscious because I am snoozing. I was also much more conscious when I was a child (because I was more frequently presented with novel experiences and had a focused awareness of them) and much less conscious now as an adult (because most of my experiences are familiar, so I autopilot more easily).

But I certainly would not consider these to be categorically different from each other (except possibly being in a sleep state). I am simply constantly shifting around on the consciousness scale.