Functions with a variety of properties (sets of discontinuities, unbounded derivations, etc.) are discussed. (SD)

Theorems about the hyperbola which are ordinarily introduced in calculus courses can be proved without using the calculus. (SD)

This is part one of a three-part SMSG calculus text for high school students. The aim of the text is to develop some of the concepts and techniques which will enable the student to obtain important information about graphs of elementary functions. Chapter topics include: (1) polynomial functions; (2) the derivative of a polynomial function; and…

This is part three of a three-part SMSG calculus text for high school students. The aim of the text is to develop some of the concepts and techniques which will enable the student to obtain important information about graphs of elementary functions. Chapter topics include area and the integral, differentiation theory and technique, mathematical…

Two approaches to the teaching of logarithms are described. One is essentially algebraic while the other involves integration. (SD)

A dialogue between a student and a teacher is presented. The topic is the absolute value function. The discussion ranges from elementary algebraic properties to deeper properties of the function. (SD)