Instead of asking her about these behaviors, just every once in a while speak about appropriate behaviors. She may be embarrassed that you know this secret.. You can never underestimate what your child really knows and understands.. Step back and take a look at who your child really is and that she is far more mature than you may have given her credit. This is not bad, it means you can begin speaking to her about more subjects
Begin speaking with her about these subjects.. in the car.. at a meal.. while folding clothes, while washing her hair..
Do not expect her to participate or answer, sometimes, she may just need to contemplate them.. You also do not have to direct them to her, I used to say, "I had a friend in second grade that was in love with a boy". And then tell how the boy did not even like girls. He did not want to sit or stand next to my friend. SO she had to learn to leave him alone.
I also was honest with our daughter about how I behaved and it did not always end well.. I would also ask my husband to tell our daughter from a boys perspective what they think of girls at certain ages..
Here are some subjects to bring up with her.
We do not tease or chase people that do not want to be chased.. How would you feel if (name of child she does not care for) was always chasing you? We do not talk about other people in whispers when they are around. It can make them feel uncomfortable. We never want to make others feel uncomfortable.
Personal space. We do not touch, hug or kiss, people without their permission. We can even get in trouble for doing this at school.
And that school is her job right now, just like you and dad have jobs. You all work hard to do a good job, so she needs to also do a good job at school.
She needs to respect her teachers, who work very hard every day to teach every child in class. When we do not pay attention, do not participate or cause distractions, or do not complete our work, we are not showing respect for the all of the teachers hard work and planning.
Also if we do not do our best, our teacher will begin to think we are not learning and will not be able to move along to more interesting subjects. It is not fair to the class either, that some kids, do not work on class work and homework as others. They are there because they want to learn. That is what the most intelligent students always will do.