Using a computer equipped with a plotter, graphs of linear equations and trigonometric identities can be produced. Examination of these graphs can aid in teaching solution of equations. (SD)

This outline for Eleventh Year Mathematics in New York adheres closely to the recommendations of The Commission of Mathematics of the College Entrance Examination Board and thus presents a unified development of certain aspects of algebra, trigonometry, and analytic geometry. Its aim is both as a terminal course in mathematics and as a solid…

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)

The subject of parallax can motivate learning related to measurement of lengths and angles as well as provide an introduction to trigonometric concepts. (SD)

Four examples of student misunderstandings from algebra and trigonometry are presented, and their implications are discussed. (MP)

Two articles in the "Scientific American" form the background of this note. The rainbow angle for the primary bow of a monochromatic Cartesian rainbow is calculated. Special projects for senior high school students could be patterned after this quantitative study. (MP)

This problem solving strategy is illustrated by examples from the fields of algebra, trigonometry, geometry, and calculus. (MP)

The use of DeMoivre's Theorem, the Binomial Theorem, and Pascal's Traingle in finding cos nx and sin nx is explained. (DT)

A series of problems involving number theory, the law of cosines, and geometric interpretations of solutions to equations is discussed. (SD)

The problem of finding the area of a regular polygon is presented as a good example of a mathematical discovery that leads to a significant generalization. The problem of finding the number of sides which will maximize the area under certain conditions leads to several interesting results. (LS)

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include periodicity, graphs, angles, vectors, formulas, tables, waves, and applications. (MP)

It is extremely difficult to extend in a natural way the concepts developed in high school geometry to motivate the concepts of trigonometry. To solve this difficultry, the author defines "sensed angles" as ordered pairs of rays and makes appropriate definitions which yield the familiar angle properties of plane geometry. He then shows how this…

The geometry of perspective drawing is developed and discussed. (SD)

Details are given of a method used by a student in discovering the relationships between the area under the sine curve and the unit circle. Two computer programs for the required calculations are included. (DT)

This SMSG study guide is intended to provide teachers who use "Intermediate Mathematics," as a textbook with references to materials which will help them to gain a better understanding of the mathematics contained in the text. For each chapter of the text a brief resume of its content is followed by a list of annotated references which…