Lesson 8: 2.8 The Derivative as a Function
Duration of Days: 2
Lesson Objective
Students will be able to recognize the graph of a derivative of a function, and draw the graph of a derivative of a function, from the graph of the original function.
1. What are the properties of the derivative of a function?
2. How can we discern properties of a derivative based on properties of the original function?
3. Where is a function differentiable or not differentiable?
4. What is correct notation for a derivative?
5. What does a second or third derivative represent?
- differentiable
- position, velocity, acceleration, jerk
(Derivative as a function)
Derivative as a function:
DOK levels 1-4
position, velocity, acceleration, jerk
- students often struggle with graphing a derivative from the graph of an original function
- being able to separate positive and negative slopes from positive or negative y-values
Homogeneous grouping and whole-class discussion
section assessment
Problems assigned from book