Consider the starburst pattern on the right. Using a graphing utility (such as grapher or a graphing calculator), recreate the starburst pattern.
Although most students will recognize that the pattern can be formed by graphing lines of the equation y=mx, finding the correct values for m to yield the picture is difficult. Many students will select integer values of m, but that does not result in the graphic with evenly spaced lines. Students need to select non-integer values at non-evenly spaced increments to form the starburst pattern.
This activity helps students to think about slope. Using a graphing utility, students able to discover the relationship between algebraic representations of linear functions and the graphical representation. See also Module Connecting Graphs to Algebraic Representations