More more thanks to all! I did find out that the school uses "My Math" as their math curriculum if anyone wishes to comment. I will be checking out the 4th grade book to see the exact level as soon as I can along with all the other suggestions mentioned (or as many as possible).
My DH thanks you all as well. He is really concerned with the costs related to this private school. I am up way too late researching educational opportunities for DD9.