Senosry Integration Disorder for sure. However, I never heard of it standing alone. The rage she exhibits in my opinion means more is going on than just that. I'd take her to a neuropsychologist for an evaluation to see all the pieces of what is going on with her...then you'll have a better idea about how to treat it. Often Sensory Integration Disorder (SID) gets better...it's a symptom. Whatever else is going on...depends on what it is. Sensory Integration Disorder (SID) goes along with ADHD/bipolar/any mood disorder, autistic spectrum disorder...I'm sure other things as well.
Be very vigilant about who her friends are and where she is going too. At her age, drugs are very much a part of modern teen culture (sad, I know at such a young age. . Drug use will only make everything worse. You don't need that on top of the other stuff).
Good luck and keep us posted!