Cones as containers and envelopes are discussed with appropriate activities for middle grade children provided. (MP)

Number sequences are useful complements to traditional drill and practice. Described is an activity in which the basic rule, add the tens digit to five times the ones digit, is used to generate a sequence of numbers. The dialogue between teacher and student discussing characteristics of emerging patterns is given. (MDH)

Presented is the solution to the problem of calculating the probability of winning or losing a game played by moving a counter from the center of a hexagonal grid according to the number shown after the toss of a die. The exercise is an example of an interesting mathematical investigation. (MDH)

Presents the game "Life91," an adaptation of Conway's "The Game of Life." Played on a hexagonal board, the game generates number patterns of population size by rules that determine cell growth and death from one generation to another. An example illustrates the process. (MDH)

Presented is an example that allows students to investigate trigonometric ideas in a simple and practical way. (PK)

Described is an activity that categorizes a two-digit number as "sneaky" if the continued process of taking the difference of the squares of its digits leads to a difference of zero. Other categorizations are determined by whether the difference process ends in a one-digit number or continues in a loop of numbers. (MDH)