*Standard 2: Limit Definition of a Derivative and Tangent Lines
Objective: Upon completion of this lesson, students should be able to:
Lesson Questions:
Lesson Notes: 2.1 Intro to Derivatives
Lesson Videos: 2.1 Intro to Derivatives
Homework Practice: p. 103# 5-29 odd, 37-40, 43-48, 53-56, 59, 81-86
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.
Objective: Upon completion of this lesson, students should be able to:
- Know what a derivative is and where it comes from
- Use the limit definition of a derivative to calculate derivative functions
- Use the limit definition of a derivative to find slopes and write equations of tangent lines
- Sketch simple derivative curves
- Understand continuity and differentiability
Lesson Questions:
- What is a derivative?
- What is the limit definition of a derivative and what algebra formula is it based off of?
- How do you write the equation of a tangent line?
- How do you sketch the derivative graph of a function?
- What does it mean to be differentiable?
- What does it mean to be continuous?
- When is a function NOT differentiable?
Lesson Notes: 2.1 Intro to Derivatives
Lesson Videos: 2.1 Intro to Derivatives
Homework Practice: p. 103# 5-29 odd, 37-40, 43-48, 53-56, 59, 81-86
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.