I designed this activity as an opportunity for a calculus student to build an intuitive understanding of why the product rule works. While completing this activity, students develop their intuition by exploring a familiar topic (the area of a rectangle). During this activity, students are led to make the following observations: 1. When the length of a rectangle increases, and the width stays the same, the increase in area equals the increase in length times the width. 2. When the width of a rec
This bundle includes a collection of worksheet activities, each of which leads the student along a path to discover a specific differentiation rule by answering a series of questions.
In this activity, students discover the power rule by approximating derivatives of functions and by observing that their answers follow the power rule.