Frogs, Fleas, and Painted Cubes
Students will learn to recognize quadratic patterns of change in tables and graphs, and they will learn to write equations to represent those patterns. They will compare and contrast quadratic patterns of change with those of linear and exponential patterns of change, which they have already studied in depth.
Quadratic relationships are encountered in such fields as business, sports, engineering, and economics. We are dealing with quadratic relationships, for example, when we study how the height of a ball—or jumping flea—changes over time. A quadratic graph, called a parabola, is shaped like either aU or an upside-down U.