Integrating history, music, and math, Pythagoras and the Ratios explores how a young Pythagoras might have come up with idea of musical ratios. Examining the idea of harmony (and how music played together sounds good), as well as the idea of ratios on panpipes and lyres, this story integrates math alongside the narrative story of how Pythagoras and his cousins want to win a music contest. 32 pages, paperback.