Google images of Tile Quilts. You'll find something to suit both your daughter's desires and your skill level. They're very popular and there are a lot of books and patterns available.
for instance
http://www.marinandcolusa.com/spinni...quilt-pattern/
http://www.marinandcolusa.com/spanis...quilt-pattern/
http://www.marinandcolusa.com/turkis...quilt-pattern/