Students use a series of isosceles right triangles constructed on a geoboard to discover patterns and form generalizations. (MP)

Using sequential chains of regular n-gons in a row with one side touching, as for example, one triangle, two triangles, three triangles, and so on, students graph the length of the perimeter versus the number of n-gons and determine the functional relationship for different values of n. (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…

A discussion is given of the technique used to create repeating patterns with interlocking congruent figures using reflection, rotation, translation, and glide reflection. (MP)

Describes a variety of methods for creating star patterns using overlapping rectangles of thin colored paper. (MKR)

This book uses foods as catalysts for learning mathematical concepts. Each hands-on activity in this math center suggests accessible, healthful, and easy-to-prepare foods to be used in school or at home. An introduction to parents and teachers includes supplies list, gobble-up germs poster, and food guide pyramid and serving information. The…

Some classroom discoveries are reported concerning artistic patterns related to Pascal's triangle that can be generated by the computer. (MP)

A learning activity relating modular arithmetic to patterns of figures determined by points equally spaced around a circle is described. (SD)

Presented are geometry activities which require only colored construction paper cut into simple shapes, paste or glue, and large sheets of newsprint or art paper on which to paste designs. The activities, which may be done alone or in groups, are varied in content and difficulty. (JN)

Beginning with a set of design cards and a rectangular grid, students can generate interesting and colorful designs using rotations, reflections, and translations. (SD)

Discusses the use of middle-school students' natural understanding of large numbers to introduce the concept of infinity. Presents activities that investigate infinite sets by demonstrating a one-to-one correspondence between the counting numbers and the given set. Examples include prime numbers, Fibonacci numbers, fractions, even and odd numbers,…

Provided is a set of six activities demonstrating how mathematical connections can be made using the concept of rectangle. The activities relating rectangle to factoring whole numbers, prime numbers, and calculating the area of rectangles, triangles, parallelograms, and circles, are also connected to each other. (MDH)

Paper squares, each divided into eight congruent triangles, can be used in a variety of activities introducing ideas related to symmetry, pattern, and geometric transformations. (SD)

Explores the close relationship between pattern formation and traditional geometry using the LOGO programing language with the specific example of joining squares, corner to corner, to form a closed ring. Includes the LOGO programs utilized, as well as color illustrations of the interesting and eye-catching patterns generated. (JJK)

The material provides secondary students with opportunities to count deductively, collect data, look for patterns, check and modify patterns after obtaining further data, establish patterns, and check validity. Worksheet masters suitable for classroom duplication are included. Students should have certain prior experience with models of regular…