I got my daughter a Ruger 10/22 when she was 9. If you want to, you can load one at a time into the magazine untill she's ready for more. I would stay away from the bolt action single shots - kids get bored with that real quick. They like to be able to shoot fast once in a while, under close supervision of course. Cabella's has a youth sized wooden stock for the 10/22 that served her well untill this year. I put the synthetic stock that came with it back on, and put a Bushnell scope on it for her. She's putting a lot of rabbits in the freezer, and Dad is very proud. Congrats on introducing your daughter to shooting. My daughter grew up around my shooting, and now she enjoys it very much. It's something that no one else will do with her, and I enjoy the time alone with her. She even enjoys cleaning her rifle with me! It's amazing how much you can learn about what is on a child's mind when you are alone togeather in the woods - away from phones, TV's, video games and everyone else. Enjoy the times - you will both remeber them forever!
Steve