The student uses algebraic and geometric models to describe situations and solve problems. Clarifying Activity Students collect data from an experiment exhibiting the direct variation involved in Hooke's Law. Attach a paper cup to a rubber band with paper clips and suspend the cup from the edge of a table. Measure the length of the rubber band and record the data in a table like the one below. Draw a scatter plot of the data points and use a graphing calculator to determine the line of best fit.
Students perform the experiment to test the model's predictions.
Students predict how the scatter plots and mathematical models would change with thicker or thinner, longer or shorter rubber bands and perform the experiment with new rubber bands to test their predictions. The student uses algebraic and geometric models to represent patterns and structures. Clarifying Activity Students explore the relationship between size transformations, scale drawings, the window on the graphing calculator, and distorted presentations of data. Students are given a picture that is exactly square. They are then to redraw the picture on a rectangular piece of paper.