My daughter was never beligerent, never threw fits, but she did steal money, stay out all night, steal from her friends, get raped by a supposed friend and used many different and dangerous drugs, etc... By the time we decided on GT, she knew that she needed help. She had been in AA and had a sponsor for a year before her relapse.
In a nutshell - do everything differently that you were doing that didn't work before.
To prevent the stealing of money - lock it up, keep your credit cards with you at all times (They don't take that much space under your pillow). I've lived with theives before - once you remove access, they quit trying.
Cutting off access to the cash will in some ways limit access to the substances, but not completely. There are inexpensive alarm systems that you can employ to secure the house at night, preventing sneaking out.
As far as school goes, you could set up a daily attendance card with her teachers - having each teacher sign to verify that she's been in class. Keep a signature card handy so you can verify teachers signatures.
Actively be involved in homework. When she gets home from school, give her some down time to decompress from the day, then set a Homework time, where she does her homework... maybe at the kitchen table, where she can see you, and where you two (or three, including mom) can help and actually TALK about the schoolwork. Make it interesting. It's a creative process.
As far as her being raped - she needs actual counseling from a clinical psychologist, maybe a psychiatrist. Even if she seems "fine". Part of her substance use may be a result of burying that pain, and stuffing itside is HARMFUL. The format of GT is not what she needs. In fact, repressing and regressing a rape victim back to childhood may be disasterous. Don't take my word for it... talk to a psychologist in clinical practice.
If she was out of control, she was out of control for a reason, and until that reason is indentified, addressed and fixed - all the children's songs, peer discussions, and rigid structure are not going to help.
There's my 4 cents.