In the case of him working from home, you want him to ask you what your plans are for tomorrow but you didn't ask him about his plans either. It definitely looks like your relationship has some serious communication problems.
He doesn't have to ask you for permission to do something, BUT, not mentioning it is rude. It seems you are the "default parent" and he just assumes that you're looking after the baby so doesn't even need to think about that. During the week he works and you look after the baby, on the weekend he doesn't so why is the baby automatically your responsibility?
Example, what if you'd decided to go out while he was still in bed and you didn't tell him you were going... would he even think to check on the baby or would he just leave the house to go on his run thus leaving the child alone. AND would he blame you because you didn't tell him you're gone or would he even realise he should have checked on the baby?
Would you have to ask him to look after the baby? Or would it be more "I've got to shower, baby is in bed" type thing? You shouldn't have to ask him to look after the baby, it's his child too, but your relationship seems to have the dynamic that the baby is yours to deal with and I think this is the biggest issue here.
I think you're frustrated and angry that he just goes about his day without even the slightest consideration or thought about what's going on at home/with you/with the baby. A little heads up would be nice, "I'm off for a run" so you could at least say "Okay but try and be back in an hour so I can X".