The purpose of this section is for you to reflect on your own awareness and use of mathematical connections while exploring a situation. You'll be encouraged to use techniques that students might try, rather than relying on formulas or technology.
As you work through the activity, pay attention to the mathematical connections that come to mind, ideas for other connections to real-world situations, and any new insights you develop. How do these connections give the situation meaning? This awareness will be beneficial as you work with students on this type of open-ended problem. Note particularly the varieties of approaches you use and how you keep track of your mathematical work. This will help you understand avenues that students might choose to pursue. As you work, prepare as though you plan to share your process with a friend or spouse who has only minimal recent mathematical experience.
Review compound interest