ANDY'S ANSWER: Interestingly enough, sweating is very common during your period even though you don't often hear it being discussed. There are also other common things that aren't commonly mentioned that you may experience like nausea, diarrhea and dizzy spells.
The hormonal changes that occur in your body during your menstrual cycle are responsible for a lot of things that happen to you, including the moodiness you mentioned. Moderate exercise, a healthy diet, limiting your caffiene intake, and getting enough rest will help lessen some of the more unpleasant symptoms of menstruation.