This activity introduces students to the graphing of parametric curves in GSP. Detailed instructions walk students through the construction of a parameter whose value is determined by a point on a segment. This parameter is central to the investigation, but the construction could be streamlined by using a slider tool from the Tool Folder that comes with Sketchpad. The rest of the investigation asks students to consider the meaning of function as it relates to curves which might intersect themselves or fail the vertical line test. Skills include formulation of parameterizations for circles and lines/segments. There is no sketch with this as students construct the activity on their own.
Download Worksheet (.doc file): GSPActivity_ParametricCurves.doc