http://giftedkids.about.com/od/gifted101/a/overexcite.htm goes into it some more. GT kids don't have to have all areas. Our son has the sensual, intellectual & emotional ones for sure.
Even though your D doesn't have ADHD some of the strategies that work for those kidos may work for her. If your school is flexible, see if they will let her sit on an exercise ball instead of a traditional chair--a could occupational therapist could better explain this recommendation but I can speak from experience that kiddos with ADHD or ADHD like behaviors suddenly can focus and do work when sitting on a ball or a T-chair (only a few districts will order these for kids). This satisfies their motor needs of their brain and allows them to then work. Other ideas include sitting on a wedge or bumpy seat. Its almost like a sensory integration thing can help the brain focus.
Other ideas are use of timers, sticker stars/circles (doing problems with stickers first, getting those checked, then doing more problems), change in material presentation, teaching self-monitoring, teaching relaxation & focussing strategies (if they have a good guidance counselor)....
Good luck!