**ERIC Number:**ED104683

**Record Type:**Non-Journal

**Publication Date:**1972

**Pages:**117

**Abstractor:**N/A

**ISBN:**N/A

**ISSN:**N/A

Secondary School Advanced Mathematics, Chapter 4, Equations, Inequalities, and Radicals, Chapter 5, Circles and Spheres. Student's Text.

Stanford Univ., CA. School Mathematics Study Group.

This text is the third of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. The first of the two chapters in this text deals with equations, inequalities and radicals. Equivalence of sentences is defined, and two postulates for equality are stated. These are used to derive theorems useful in the solution of equations and the simplification of algebraic expressions. Order axioms are stated and used similarly to develop methods for solution of inequalities. Many exercises dealing with simplification of expressions involving radicals, solution of linear and quadratic equations, solution of linear inequalities, and the application of these techniques in solving problems are provided. The second chapter begins with inequality theorems concerning triangles, and moves on to define circle and sphere. Theorems concerning tangents, secants, inscribed and circumscribed figures are developed. Ruler and compass constructions are discussed in an appendix. (SD)

Descriptors: Algebra, Curriculum, Geometric Concepts, Geometry, Inequalities, Instructional Materials, Mathematics Education, Secondary Education, Secondary School Mathematics, Textbooks

A. C. Vroman, Inc., 2085 East Foothill Blvd., Pasadena, California 91109 ($0.75)

**Publication Type:**Books

**Education Level:**N/A

**Audience:**N/A

**Language:**N/A

**Sponsor:**National Science Foundation, Washington, DC.

**Authoring Institution:**Stanford Univ., CA. School Mathematics Study Group.