This book is a special work. It is neither a textbook, nor a collection of exercises, but a guide and summary book. What does it mean to guide? To guide is to show the right way and give help on the way. Mathematics is a very beautiful science but, there is in it a beauty hidden for students, due to wrongly put together school programs, overloaded with irrelevant and non-pragmatic issues. The book you are reading shows you an elegant way to the math in middle school, so that you enjoy the beauty of this science. Theory will be followed by exercises and examples so that students will understand how to apply it and I hope they will not work mechanically. If students learn theory very well, the ideas will come as soon as they read the hypothesis. For example: if we have a division with remainder, we will think of Euclidean division; if we have bisectrices and parallels, we'll think about equal angles and the angles made by parallels intersecting a secant. Combining theory with exercises and examples, this Mathematics Guide and Summary book could be used by all students, including the ones less talented in math: if they learn very well the theory, then they will realize that math is not difficult Go ahead and try and you will see that I am right, all the more so as there is not very much theory in the book, some formulas we deduce and some will be easier to remember.