If your daughter is waking up at different times of the night it's more likely that she is experiencing night terrors vs having a temper tantrum.
This is a brief explanation of night terrors from an article that you can find on the parenting.org website.
Night terrors are most common in children between the ages of 3-5 years because this is the age when the majority of children make the transition from one nap a day to no naps at all. The terrors are a result of the child not being able to go through the sleep cycle properly. Children who become overly tired will fall into a deep sleep very quickly and when it's time for the sleep cycle to change, part of the child's brain wants to remain in this deep sleep---forcing a battle in the sleep cycle. - See more at: http://www.parenting.org/article/night-terrors-different-nightmares#sthash.h3o8IwyK.dpuf