Students use the mathematical model to calculate these concentrations and compare them to their predictions. Students also make predictions about what happens to the concentrations over time if the initial dosage is increased or decreased, or if the rate of decay is increased or decreased, and adjust the mathematical model to test their predictions. Students connect their results to the importance of carefully following directions in taking medication. Clarifying Activity Students discuss examples of objects that move in a circular path, such as a bicycle wheel or Ferris wheel. Students predict what the graph of an object's position might look like if the object moves in a circular pattern, where the x axis represents time and the y axis represents height above the ground.
Students draw a sketch of their prediction on a coordinate plane.
Students compare their predictions with the graphs of the sine and cosine functions. Students use technology to evaluate the function to complete the data table below. Sudents use graphing calculators to graph the function. 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.