Is this a young 3 year old?
From my experience, girls go through the "Terrible Two's" at around 3 years of age.
Are you permitted to using time out or isolation as a form of discipline?
My best suggestion is to shadow her all day, everyday. You will be able to tell what she is going to do before she does it and if you are walking around with her before she goes into a "mode", remind her of "good choices, that we don't hurt our friends, etc."
As for the biting...some children bite. My best suggestion is to give her a wet washcloth and tell her that if she feels the need to bite, to bite on it. Hopefully she can get her frustration out on that and not on a child.
