1)
Half day and full day it's the same class. They won't seperate the kids into the respective session.
Just that when time is up, your kid will just go home where the rest just proceed with lesson.
Usually afternoon naps would be around 1pm? So if yours is half day, your kid will go home and have his nap at home.
2) You can just start with full day. First week bring the kid home after lunch before nap time. Kids need time to transit. Who knows your kid may be enjoying the lessons in school.
3) I believe in the morning they will focus on learning, whereas after nap time could be on hands on activites.
Yes they may miss out on certain activities if they attend half day only.
Hope it helps!
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Momsy of 1 sunny boy