Two free resources online-
Professorchess.com is a site aimed at scholastic players. It has a number of exercises, including one where they have to find all the legal caputres and checks in a postion. Good for developing "vision". It also has an endgame area that teaches basic mates.
Chesstempo.com is another free site, a little more advanced, that will give you unlimited tactical problems. It also has endgame problems, but if you are on a non-premium account you are limited to two endgames per day. If you create an account and log in it tracks your progess and gives you problems suitable for your skill. Some are as simple as finding the hanging piece or basic mate threats.
My 9-year-old stepdaughter plays chess and tied for fourth in a local regional tournament. No trophy for fourth place - and she really wants a trophy ;-)
She'd like to improve and having watched her games, most of the time she's either falling into tactical traps or not exploiting her opponent's errors. Keep in mind we're talking typical 9-year-olds - try for Scholar's Mate is the opening repertoire for about 1/3 of the kids she plays ;-)
I think if she got brushed up on tactics a bit, her game would improve immensely.