I bought Jane a $60 quadcopter from Banggood for her 10th birthday. One of the motor wires was broken on arrival so I had to solder it back on, and the battery charger was for a European power outlet so I broke it open and soldered on a US plug. Now it works and it's a lot of fun. It has a built in video camera, too!
It has two control modes. Mode 1 is the "beginner mode," which doesn't allow for tight turns. We like Mode 2, because it's actually easier to control. You can flip the captor 360 with the touch of a button on the transmitter, which Jane loves.
Here's a video of Jane flying it and me being paranoid that she's going to get it stuck in a tree. She ends up landing it in the street, and I say a naughty word.