I think there were some things you should consider
beyond what was mentioned on the show. First, I'm a
Mensan (IQ at 98th percentile or better to join), so I
can relate to your daughter's situation. I was never
allowed to skip grades and I was completely miserable.
Other kids were nasty because I was "smart." I was not
stuck up and I've never in my life bragged about
grades, test scores, or IQ. That someone grabs your
test paper and announces the score to the room is not
your fault, it's the fault of the nosey kid who has no
manners.
I tested for Mensa after I was in college because I
was seeking an organization where my intelligence
wouldn't be an issue. I figured no one would be
"grabbing my papers" because the difference between
98.0 and 99.9 percentile isn't truly significant.
 
What I do suggest to you is several things. First,
Mensa does have programs for gifted children. She
would then be "normal" in the statistical sense in
that group.
http://www.us.mensa.org/Content/AML/NavigationMenu/Programs/GiftedChildren/Gifted_Children.htm
This could be a plus for her. It's certainly worth
checking out.
Second, I'd strongly encourage you, if you don't
already do it, to have your daughter involved in at
least one charitable activity. I'd encourage her to
tutor students who are a few years younger than she is
if she has any natural teaching ability. I say a few
years younger so that the student being tutored isn't
offended that the tutor is their age or younger. This
can be a huge plus to your daughter in that it's good
to see what some people struggle with, what makes a
concept clear to someone, and so she can experience
the pure joy that comes not only from helping someone,
but having them see they CAN do something they
struggled with.
It's wonderful that you have her in other activities,
such as dance. I don't know if the other students are
around her age or if she spends time with them outside
of dance class, but that could be a good source of age
appropriate friends where she'd have at least one
shared interest.
If you belong to a church, if they have any youth
group activities, that would be another way to find
people of her age group and they can concentrate on
their faith as something that binds them together.
 
I was somewhat disappointed with the comments on the
show that indicated being like the other high school
kids is so important. High school, for most people, is
not one of the better times of their life (though it
probably beats junior high school.) There is too much
emphasis usually on how pretty someone is, what kind
of car he drives, or who is dating whom. It tends to
be a very shallow time of life for a lot of people.
Making an effort to "fit in" with such nonsense is
silly. Having real friendships with other people in
more positive settings (church group, fellow dancers,
etc.) makes more sense. The quality people in high
school who aren't in to superficial nonsense will
hopefully feel comfortable seeking out your daughter
and she should be encouraged to be approachable to
them or seek them out. It doesn't have to be in an "I
could tutor you" way either. There are plenty of kids
out there who have good hearts and brains but are
lonely because they're not "good looking" or
"athletic" or rich and the "in crowd" passes them by.
I would also encourage you to seek out college courses
for your daughter to challenge her. I would check out
any "gifted" program in a public high school very
carefully as most of them are not remotely
academically rigorous from what I've seen. Standards
have been lowered so drastically that the typical
"gifted" student does less rigorous academic work than
the regular student did 20 or 30 years ago. There
will be programs for which this is not true, but just
because they claim to be for honor students or gifted
students doesn't mean they have any added value. In
fact, quite a few college courses are less rigorous
these days than normal high school classes were a few
decades ago and I speak from a good deal of experience
in that area.
Never let anyone, in any way, impose any "duty" upon
your daughter to "tone down" her intelligence or
"apologize" for being gifted. If she remembers the
gift is from God and knows that means she needs to
develop it to serve Him and society, she will be fine.
The automatic assumption I've seen many make that the
smart student must be lording it over other students
is unwarranted. Who demands the high school
quarterback drop his books periodically so he can
appear clumsy off the field? Do exceptionally
attractive people have to get a bad haircut and wear
something unattractive so that normal or unattractive
people can "feel better" about themselves? Of course
not. However, if in school (wasn't that supposed to be
about academics at some point?), a student performs
well the insults fly as though they're "showing off."
Getting 100 and then dancing around the room praising
yourself IS showing off. Going to the local "Y" to
swim and standing on the high dive screaming, "I got a
100 on my math test!" IS showing off. Getting a 100 on
your math test is NOT showing off and people who
pretend it is are the ones in serious need of help
because they have a major problem. So don't let
someone's jealousy or insecurity be laid on your
daughter if she's innocent of showing off. She is also
entitled to some praise for doing well academically
because being gifted is one think, developing that
gift and performing is another. That requires work.
 
If your daughter respects herself and others, then her
intelligence should be a gift to all and don't let
someone try to convince her it's a negative or something to hide so others can feel better about themselves. Michael Jordan never had to apologize for being a gifted athlete.