his is the second volume of a series of textbooks on junior high-school mathematics. Like the first volume, it is organized on the principles that were stated in the preface of Book One. Geometry is the basis of the first part of this course. By actual measurement formulas are developed for finding the areas of triangles, quadrilaterals, and the circle. In these formulas quadratic terms and polynomials make their appearance and some of the fundamental operations with integral numbers are taught. Then follows a study of the common solids which leads to algebraic terms and polynomials of the third degree. Algebra in the first half of this course is a tool subject. Algebraic notation is used because it is helpful and because it simplifies discussions of geometry. In the second half of Book Two emphasis is transferred from geometry to algebra. Positive and negative numbers are introduced. Geometry is now used to illustrate and to make concrete the meaning of abstract algebraic concepts and operations. Opportunities for arithmetical computation and for problem solving are offered everywhere to help the pupil attain a high degree of accuracy in arithmetical work. [For Book One (1924), see ED623271. For Book One (1925), see ED623272.]