Book two is designed to further develop the skills learnt in book one and challenge your musicality, technique and intellect. There are more detailled explenations of styles and genres and a greater expectation to self analyse and critic your own playing.
Again we would encourage you to learn the rhtyhms in the snare drum section first before embarking on the drum kit, timpani or tuned section of the book. The rhythms and techniques in book two are aimed at the intermediate musician and finishing book two should leave you ready to attept grade 3,.
Here are some example pages from book two. There is more explaination than in book 1 and more emphasis on genre specific techniues and musical context.