This is her current routine or her previous routine???
11 months is an age where SO many LOs need tweaking as they head into that crazy 2:1 nap transition. I remember having to find the right times and lengths of DD's morning nap to ensure no resistance AND fit in a second nap to avoid OT before bed. Took a lot of trial and error and then cutting and tweaking as the weeks and months went on. Perhaps this is coinciding with daycare and it isn't daycare itself?
Plus teething was on the forefront around the same time as well. Most daycare centers probably won't medicate, correct?
If she is up early does she stay up for the day or go back to sleep??? If she is up do they allow for an earlier nap to compensate?
I'd say, double check for any teething or other issues first, medicate in the am if you think she may need it. Then ask about altering her nap times on days she may be super tired.
Is she doing the same thing at home now as at daycare as well? Or is she doing a better routine at home?
Second, I would try to alter her routine a bit and see if that helps. When DD was this age we had a short morning nap around 10-10:30 and then a longer afternoon nap around 1:30 or 2ish for nearly 2 hours. Not sure if she'd like a later longer morning nap and a catnap later or whatever, but I am thinking after only napping 30 minutes in the morning at 11 and then waiting until 4:30 for another nap is a VERY long time and she is likely very OT by then. Plus that late nap can cut into night sleep b/c it is too late in the day.
Sorry I'm rambling at the moment. Hope something in there is helpful.
