Gifted children can become bored and even disruptive if not stimulated enough. Talk to your child's teacher about broadening her curriculum.
Contact support groups like Mensa (Mensa House, St John's Square, Wolverhampton, West Midlands WV2 4AH, www.mensa.org), or the National Association for Gifted Children (Park Campus, Boughton Green Road, Northampton NN2 7AL, www.nagc.org). Each provides social activities for both parents and children.
Tell your child you're proud of her. This helps to offset any jealousy from classmates. But stress that you love her for herself and not just her brains.
Never use a gifted child's intelligence against her (such as saying 'How could someone as clever as you do something so stupid?').
Emphasise that she doesn't have to do everything perfectly. (Gifted children can be very demanding of themselves.)
Even though your child might sound like an adult; she's still a child who needs guidance.
If you have other children, remember that each is special, and avoid making comparisons.