A discussion is given on the probability of winning at the game of craps. Variations are discussed in terms of probabilities. (MP)

The simultaneous solution of equations in polar form does not always yield the points of intersection of their graphs. An explanation is given. (MP)

A geometric area problem is analyzed and generalized. (DT)

The probabilities of six-card poker hands are derived and compared to those of the five-card poker hands. (JT)

Ten problems involving large calculations are described for classroom use with a calculator. (JT)

Patterns emerging when two-digit numbers in various bases are operated on by squaring and summing the digits. (SD)

The authors answer conclusively the question of how certain regular polygons can be "fitted together" around a point in the plane. Proofs lead to the establishment of seventeen cases. (JP)

Illustrated are the discovery and verification of new patterns in Pascal's Triangle. Discovery activities appropriate for students when they are learning to expand binomials are provided. (JP)

This teaching guide contains material, for students in grades 6-9, in which a calculator is used in exploring and developing generalizations about quotient patterns generated from various polygons drawn on a hundred square. Includes suggested procedures and four ready-to-duplicate student worksheets. (JN)

Four answers to a probability problem involving a perceived coincidence are discussed. (MNS)

Three questions dealing with hypothesis testing are presented. Activities that can be best worked with calculators as tools are detailed and suggestions for extensions of these problems are given. (MP)

How probabilities change when playing the game of craps with dice having 8, 12, or 20 faces is discussed. Five challenge questions are also included. (MNS)

The application of the Hamilton method for apportioning seats in the United States House of Representatives is presented based on the 1980 census. It is felt that this method is preferable to the equal proportion method currently used if for no other reason than the greater appearance of fairness. (MP)

The game of Yahtzee is discussed in terms of the various outcomes of turns in the game and their point values and the probabilities associated with achieving specific combinations of dice values. Several tables and methods of table construction are noted, and several challenge exercises are included. (MP)

Activities that can be used for maintenance of computational skills and can lead to the discovery of a pattern verifiable by an algebraic procedure are noted. The language of algebra is used in nonroutine settings, with several challenges for further exploration. (MP)