The Derivative as a Limit
Students define the derivative using the limit of a difference quotient. They explore the relationship between differentiability and continuity.
About This Topic
Students define the derivative using the limit of a difference quotient. They explore the relationship between differentiability and continuity.
Key Questions
- How is a derivative defined using limits?
- What is the geometric meaning of a derivative?
- Can a function be continuous but not differentiable?
Planning templates for Calculus
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
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