Before beginning this section of handouts, students will be introduced to a variety of vocabulary words often associated with calculus. These words will be used in an intuitive sense only and will not have been formally defined. Vocabulary should include graphical terms such as continuous, increasing, decreasing, maximum and minimum points, concave up, concave down, and point of inflection. In addition, discussion of the concept of "rate of change" should begin. It should be mentioned that many quantities change – population, cost, and temperature, to name just a few. All that is specifically required at this point can be related simply to physical motion. Students are expected to have some sense of velocity. For example, if velocity is higher, how does that affect the object's position?
Dover, Ruth, "BC 1 Rate of Change Activity Sheet Teacher Notes" (2016). A Simple Introduction to Rates. 1.