In light of evidence indicating that errors in making accurate pie charts are prevalent, an alternative method for constructing pie charts is proposed. It involves the use of a simple trigonometric formula to compute a factor of the length of the chord that defines a given percentage sector. This factor is multiplied by the radius of the circle to…

Discusses a method of graphing polar equations using information from the Cartesian graphs of trigonometric functions. (MKR)

Presents an activity which focuses on the graph of sine and cosine functions and other properties that can easily be inferred from the graph. (ASK)

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include sets, definition and graph of a function, constant, linear and absolute-value functions,…

The following ideas are shared: (1) a low-stress subtraction algorithm that eliminates the traditional borrowing process, and (2) an approach to graphing circular functions that looks at the process of modifying simple functions as a series of shifting, sliding, and stretching adjustments, with its biggest advantage viewed as its generality. (MP)

Describes computer or calculator-graphing technology to develop parametric representations which help students connect mathematical topics from algebra and trigonometry through algebraic, graphical, and numerical representations. Computer or calculator graphing utilities instantly transform algebraic expressions into visual and numerical displays…

Describes a five-step graphing method for various trigonometric periodic functions. Emphases is on teaching constants and functions. (YP)

This paper outlines the development of an activity that uses the computer's unique capabilities to provide students with a meaningful and highly motivating experience with the graphing of equations. The basic design of the game calls for the computer to display a coordinate grid on which it graphs any equations that are typed in by the student.…

How the use of calculators can illuminate mathematics and improve the level of problem-solving discussion in classes is presented. (MP)

Provides activities that introduce the sine and cosine functions in a hands-on manner. Includes ideas for assessment. Contains reproducible student worksheets. (MKR)

This is the second edition of a curriculum guide for secondary school mathematics. It is one of a series intended to serve as a model for Alaskan school districts as they develop and review their curriculum documents. Listed are topics and concepts, learning outcomes and objectives, and sample learning activities. The learning activities are…

A programing approach is described, using numerical methods to draw implicit functions, without solving the relationships explicitly. Several examples are discussed, with programs and printouts included. (MNS)

Describes an activity for making the connection between triangle ratios and graphs of circular functions which helps middle school students understand the concept of a sine curve. (ASK)

Presents a method of viewing the reflective properties of the parabola and ellipse. Reinforces previously studied concepts of mathematics useful for individual or classroom projects. (PK)

This guide was prepared as an instructional aid for teachers of a first-year course in Algebra. It was designed to be applicable to the wide range of Algebra 1 programs being offered in the junior and senior high schools. In this guide, the content of the Algebra 1 program has been divided into 11 major units, each unit organized around student…