Unit 21 in the SMSG secondary school mathematics series is a student text covering the following topics in elementary functions: functions, polynomial functions, tangents to graphs of polynomial functions, exponential and logarithmic functions, and circular functions. Appendices discuss set notation, mathematical induction, significance of…

This is part one of a two-part SMSG geometry text for high school students. One of the goals of the text is the development of analytic geometry hand-in-hand with synthetic geometry. The authors emphasize that both are deductive systems and that it is useful to have more than one mode of attack in solving problems. The text begins the development…

This is part two of a two-part SMSG geometry text for high school students. One of the goals of the text is the development of analytic geometry hand-in-hand with synthetic geometry. The authors emphasize that both are deductive systems and that it is useful to have more than one mode of attack in solving problems. The text begins the development…

Unit 10 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: factors and exponents, radicals, polynomial and rational expressions, truth sets of open sentences, graphs of open sentences in two variables, systems of equations and inequalities, quadratic polynomials, and functions. (DT)

Unit 13 in the SMSG secondary school mathematics series is a student text covering the following topics in geometry: common sense and organized knowledge; sets, real numbers, and lines; lines, planes, and separation; angles and triangles; congruences; proof; geometric inequalities; perpendicular lines and planes in space; parallel lines in a…

Unit 14 in the SMSG secondary school mathematics series is a student text covering the following topics in geometry: areas of polygonal regions, similarity, circles and spheres, characterization of sets, constructions, areas of circles and sectors, volumes of solids, and plane coordinate geometry. Appendices cover Eratosthenes' measurement of the…

This is a supplementary unit to Mathematics for High School, Intermediate Mathematics, Part 1. In this publication, real numbers and rules for operating them are examined. The study begins by examining whole numbers and some of the properties of addition and multiplication of whole numbers. Most of the basic rules for algebra are developed from…

Unit 23 in the SMSG secondary school mathematics series is a student text covering the following topics in matrix algebra: matrix operations, the algebra of 2 X 2 matrices, matrices and linear systems, representation of column matrices as geometric vectors, and transformations of the plane. Listed in the appendix are four research exercises in…

Unit 9 in the SMSG's secondary school mathematics series is a student text covering the following topics in Algebra I: sets and the number line, numerals and variables, sentences and properties of operations, open sentences and English sentences, the real numbers, properties of addition, properties of multiplication, properties of order, and…

Unit 18 in the SMSG secondary school mathematics series is a student text covering the following topics: logarithms and exponents; trigonometry; the system of vectors; polar form of complex numbers; sequences and series; permutations, combinations, and the binomial theorem; and algebraic structures. (DT)

This is part one of a two-part SMSG mathematics text for high school students. Topics include plane geometry, real numbers, triangles and angles, congruence, construction, parallel lines, perpendicular lines, and parallelograms. The text is written in Spanish. (RH)

This is part two of a two-part SMSG mathematics text for high school students. Chapter topics include: (1) perpendicular lines and planes in space; (2) parallel lines in a plane; (3) parallel lines in space; (4) areas of polygonal regions: (5) similarity; (6) circles and spheres; (7) constructions; (8) the area of a circle and related topics; and…

This is part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real numbers, subtraction and division…

Unit 17 in the SMSG secondary school mathematics series is a student text covering the following topics: number systems, coordinate geometry in the plane, the function concept and the linear function, quadratic functions and equations, complex number systems, equations of the first and second degree in two variables, systems of equations in two…