Oh my... you just described my household to the T! My girl is 13 as of April. She is the oldes of 4 kids though. I found that spending quality time with her has helped. She actually seems to enjoy my presense... half the time!
The question to answer is whether you're witnessing a normal-spectrum version of adolescence, or whether your daughter is displaying some organized emotional or neurointegrative condition (such as, e.g., ADHD). Regardless, a systematic behavior management plan is important, and you can receive some guidance about this from a mental health clinician. I'd be in favor of arranging an evaluation, to clarify the situation and at the very least develop a plan to manage the behaviors you are facing.