A mathematical derivation is given, developing the cardioid as an epicycloid locus. Curve-stitched designs are given for a family of epicycloids. (MP)

An exercise which relates particle scattering and the calculation of cross-sections to answer the following question--"Do you get wetter by walking or running through the rain?"--is described. The calculations used to answer the question are provided. (KR)

Topics discussed are: triangular numbers; three proofs of the surface area of a sphere; reverse notation; highest common factors; square roots from a graph; and clock geometry. (MP)

Curve stitching activities can be used to motivate calculus students. The problem described here involves showing that a given envelope of a curve is parabolic. (SD)

Equations or systems of equations can be associated with letters of the alphabet printed in the coordinate plane. Messages can be coded and decoded with a computer or by hand. (SD)

This book provides a resource for mathematics teachers to understanding the National Council of Teachers of Mathematics' (NCTM) standards and implementing these standards in their teaching. Five standards are overviewed: (1) number and operation; (2) algebra; (3) geometry; (4) measurement; and (5) data analysis and probability. Lesson plans are…

Rational points in the plane were defined as points having both coordinated rational. Students solved several problems linking rational points with lines, circles, and other geometric figures. (SD)

Activities involving copying, enlarging, and translating stick figures can enhance students' understanding of graphs. (SD)

The activities presented here focus on symmetry. The materials aim to provide experience in: (1) observing grid-drawn pictures and coloring in appropriate squares; (2) making symmetric designs about two lines of symmetry; (3) using a ruler and protractor; and (4) using a ruler, protractor, and compass. Worksheet masters are provided. (MP)

The use of microcomputers to aid geometry instruction is emphasized through discussion of a program written in BASIC which provides for experimenting with polynomial curves. The program listing is included. (MP)

Directions are given for making a model of a three-dimensional coordinate graph. (DT)

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…

Includes materials in reproducible format designed to help students read and draw distance-time graphs and use the slopes of these graphs to draw conclusions about car speed. (PK)

This CD-ROM consists of software that allows both teachers and students to create and experiment with mathematical models by linking shapes, graphs, numbers, and equations. It is usable for demonstrations, home learning, reinforcing concepts, illustrating concepts that are difficult to visualize, further pupil investigations, and project work.…

Presented are two exercises on the differential geometry of curves. A generalization dealing with smoothness conditions is given that relates the two exercises. Included are the definitions, theorems, propositions, and proofs. (KR)