The activities in this unit transform the traditional mathematical content of the typical secondary curriculum into a new, dynamic, visual, geometric world. Here we see things constantly change as we search for patterns in iterative behaviors. Graphical iteration produces paths that staircase or spiral in to specific points that serve as attractors and out from other points that play the role of repellers. Some intervals compress through graphical iteration so that errors are reduced, while others expand through iteration, causing small errors to explode into large ones. Underlying these characteristics is the key question: When is the iteration behavior predictable and when is it unpredictable?
KeywordsIntersection Point Quadratic Function Orange Juice Decimal Place Graph Calculator
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