There is a lot of room to improve when you are 11 years old. There is almost no reason to take an 11 year old to Florida for private lessons with X coach who is supposedly the best. I used to love destroying those kids who came back from a summer spent in Florida with Big name tennis camp.
In your area there are likely good coaches. If your coach isn't playing out real games and sets with your kid they probably aren't any good. Every real point is an opportunity to learn. Your kid may not be working hard enough to become number 1. I knew people who played 8 hours a day as kids to get their national rankings. I think too many parents think that skill can be bought. People can be born with talent but it takes years of hard work to get up the rankings.
Head microgel prestige mid, luxilon alu power / wilson nxt os.