An investigation using the Pythagorean theorem, the area of a triangle, and some first-year algebra yields a relationship between the radii of inscribed and escribed circles. (MP)

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

The lesson described combines mathematics, science, and literature, and is easily adaptable for use with classes in basic mathematics, geometry, analytic geometry, or calculus. (MP)

Develops the Pythagorean Theorem in the context of the Van Hiele levels by presenting activities appropriate for each level. Activities point to preparatory development (level 0), give 3 different versions of Euclid's proof (levels 1, 2, and 3), give some generalizations of the theorem (level 3), and explore the Pythagorean relationship in other…

Presents a cooperative-learning lesson in which high school students visit stations equipped with different tools to establish the midpoint of a Pixy Stix, a brand of candy-filled straw. Provides solutions for two potential stations, suggestions to extend the activity, and two activity worksheets. (MDH)

Presents a strategy for graphing conic sections on the polar plane without using a table of values by beginning with information gained from the graphs of circular functions. (MKR)

Presents a game used to help students learning polar coordinates in precalculus class. The game is a variation of the game Battleship with the major difference being that students use polar coordinates. Includes reproducible student worksheets and directions. (MKR)

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected that the Addenda Series will…

Activities involving the drawing of pictures using coordinate geometry are described. One year a contest was held; another year, murals were drawn on walls. (MNS)

Classroom related topics discussed are: cryptics and statistics; understanding absolute value; recognizing quadratic equations with no real roots; and two derivations of a formula for finding the distance from a point to a line. (MP)

Presents an activity in which students draw a picture, analyze each line and curve, and write the symbolic equations represented by the graph. Includes reproducible student worksheets. (MKR)

Presented are activities concerning the method of graphing the equation y=kx in the Cartesian and other coordinate systems. Students progress from the graph of a straight line to the investigation of conceptually related geometric loci in non-Cartesian coordinate systems. (MDH)

Describes two types of star charts commonly available for astronomical viewing and outlines a strategy by which teachers can have students use a computer spreadsheet to prepare their own easy-to-use star charts appropriate for the location, date, and time of viewing. (Author/MKR)

Describes an activity that integrates the study of fractions, decimals, percents, rounding, Cartesian coordinates, probability, and statistics into a game using baseball statistics. (MKR)

Several examples of solid figures that calculus students can use to exercise their skills at estimating volume are presented. Although these figures are bounded by surfaces that are portions of regular cylinders, it is interesting to note that their volumes can be expressed as rational numbers. (JJK)