Why do you think the daily stand-up should be the days starting point? That's not a requirement and not at all practical. If you have to skip a stand-up some day because of a dentist appointment or other meeting, do you just not do anything for the rest of the day?
Um, no. My day starts at 7:30 or 8:00 am. Standup is at 11am. I'm about 1/2 done with the day when standup happens. Other folks on my team start work at 10:00 am, so it's closer to the start of the day. I prefer having 1/2 day to get stuff done by the time standup rolls around.