These are good suggestions. If she has no learning issues, she will very rapidly pick up reading and arithmetic with you; after all, she has been exposed to quite a lot at school, whatever teaching methods they have been using. If you find that even with home support she continues to be challenged to learn, this would be a signal that it would be very important to have an educational assessment done by a professional.
Give it a little time, however; some children are just a little slower to be ready to learn. My middle son only learned to read at age 9, and yes I was beginning to panic. Now I can't pull him away from his books: he is a fast reader with no learning disabilities whatsoever.
Not too much time, however; if learning issues are picked up by age 9-10, they are much more remediable than those that are picked up later.