very much a perfectionist
There are books which show readers how to free themselves from thought patterns which may not be serving them well. While insightful, these books are written gently for kids, in a style that is fun and engaging. Parents may wish to pre-read and decide if a resource may be a helpful tool for their child. For example, one book which seems to understand perfectionism very well and which many find supportive is
What To Do When Good Enough Isn't Good Enough. Another book you might like is
Perfectionism: What's Bad About Being Too Good. Here is an
article from the Davidson Database, Interview with Thomas Greenspon on Perfectionsim.
got in trouble the week before her testing for careless errors on a speed drill because she worked too quickly.
In what way did she "get in trouble"? Was her score not as high as usual? Did a teacher point her out?
...concerned that she seems to be a different person at school. She won't discuss any of the things that she does very well at home with her friends. For instance, she knows more about animals than anyone I know but even when they were discussing animals in science she would not contribute information, so I think she may act differently to get along with peers.
Yes, unfortunately this may be common. This
article from the Davidson Database mentions this in point 3.