A method for finding the complex roots of a graph is detailed. A conjecture is made regarding the nature of zero points of fourth-degree polynomial functions, but it is not proven in general. Mathematical induction is viewed as a promising tool to prove the conjecture that turned out unproductive. (MP)

There are many uses for the shortest path algorithm presented which are limited only by our ability to recognize when a problem may be converted into the shortest path in a graph representation. (Author/TG)

Illustrates exploration of composition of functions, translations, and inverse functions on a graphing calculator. Includes reproducible student worksheets. (MKR)

Teaching suggestions for graphing the function y=sin 1/x and the greatest integer function are given. (MK)

Two posters are presented that emphasize graphing in a Halloween setting. Both provide practice in reading and interpreting bar graphs. (MNS)

An examination of a student question concerning a calculus problem leads to a discussion of some of the symmetric properties of a specific set of polynomials. (MP)

Presents an alternate approach to teaching quadratics by fully integrating the study of quadratic equations and quadratic functions using graphs. Includes reproducible student worksheets. (MKR)

Presents a teacher's guide and reproducible student worksheets to develop the procedure for finding the inverse of a function. (MKR)

Presents activities designed to help students bridge the gap between the graphical representation of a function and a verbal description. Includes a number of nonstandard graphs and reproducible student worksheets. (MKR)

Students are given the opportunity to deal with many kinds of data as they make graphs and interpret the results of polls. Worksheets are provided on filling in a graph grid and making bar and circle graphs as well as interpreting each. (MNS)

The usual methods for solving quadratic equations are noted to require either the use of numerical formula or curve plotting on graph paper. The method described here enables pupils to solve equations using only a 45 degree setsquare, graph paper, and a pencil for those which have both real roots and real coefficients. (Author/MP)

An unusual shape is considered, and properties and steps in drawing it are detailed. The focus is on development and presentation of a computer program that will draw the curve. The program is written in BASIC with special plotting commands for a Techtronix computer, but is adaptable to other systems. (MP)

A program designed to plot three-dimensional graphs is described and presented. The program allows the user to select maximum and minimum ranges for X, Y, and Z, and can enlarge a graph on the screen or look at a portion away from the origin. It is in Applesoft BASIC. (MP)

One skill that elementary students need to acquire is the ability to analyze spatially distributed data. In this activity students are asked to complete the following tasks: (1) plot a set of data (related to "mud-sharks"--an imaginary fish) on a map of the state of Alabama, (2) identify trends in the data, (3) make graphs using the data…

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)