Work through "The Million $ Mission." Describe the patterns in the payment options. Did he make the best choice? Examine some of the things to do in this lesson to better understand the mathematics being examined and ideas for using the task with students. What are the big mathematical ideas being explored in this mathematics fantasy? Why and how might you use this task with students?
Explore the e-example, "Understanding Distance, Speed, and Time Relationships Using Simulation Software." Set up several trials using the simulation applet. What big ideas about functions and representing change over time would you anticipate that students might learn while working on this activity?
Using the Java applet, investigate the "Traffic Jam" task. What was your strategy for having the people exchange places in the smallest number of moves? What pattern can you find to determine the number of moves for any number of people?