2.1 Definition of a Derivative
This is the first lesson in the Derivative Unit. The lesson contains Guided Notes, homework, SmartBoard lesson, and all solutions. Don’t forget the added bonus of a math joke embedded into the Smartboard lesson ☺! You may have also opted to purchase the video lesson to the notes.
In this lesson students will be taught how to use the definition of a derivative with five different functions - linear, quadratic, cubic, square root, and rational. Additionally students will be asked to label f(x) and x in the definition form to do some early preparation for the AP exam. In the beginning of the lesson, students will learn the difference between a secant and tangent line and understand how the definition of a derivative originated. Students will make connections between slope and derivative and understand how to approximate the value of a derivative at a point. Before beginning this lesson, I always tell my students that this is the “long way” of finding a derivative. There is, in fact, shorter ways to find the derivatives. Therefore, I challenge my students to determine the shortcuts.
I hope you find the notes easy to follow. Please feel free to offer any suggestions on how to make them better as well! Through a community of collaboration, we can find that “sweet spot” for our students and their learning process.
All the best,