Welcome, and let me say I think it's great we have parents that are on the boards asking questions!
I do infants/toddlers in my home, my 10 months olds "play" alot, but thru that play they are learning, to reach, to put an item from one hand to another, to move parts on the toys, listen to the sounds, etc. but I also include them in "hands on art" activites, such as painting, I use my highchair tray for that, just a small amount of paint goes along way for a 10 month old!

If your child is tired when you pick him up, I'd say tha't a good sign that he's had a playful good time at daycare!
PS
They also get to play in vanilla pudding on their trays, and if they get it in their mouths, which believe me, they will, it's ok!
That's why I ask my parents to please send your child in 'play clothes" not "gucci outfits"