Functions: Day 4 homework
Due Monday, I guess

Read Developing Essential Understanding of Functions "Rate of Change" (p. 25-33).

Be prepared to answer the following

1. Think back to our breakout on Thursday. What does it mean to have a constant rate of change?
2. How do you calculate an average rate of change?
3. What does average rate of change mean? (Note, this is different from question 2).
4. What is the difference between questions 2 and 3?
5. What does instantaneous rate of change mean? (not "how do you calculate it.")
6. What is a problem with looking at average rates of change over intervals of 1?
7. If you take the previous sections seriously, there are serious incompatibilities with the sections on arithmetic and geometric sequences. What are some of the problems with using arithmetic and geometric sequences to teach rate of change?