Curve Sketching
Students use first and second derivatives to determine intervals of increase and decrease, local extrema, concavity, and points of inflection. They combine this with asymptotic behaviour to sketch accurate graphs.
About This Topic
Students use first and second derivatives to determine intervals of increase and decrease, local extrema, concavity, and points of inflection. They combine this with asymptotic behaviour to sketch accurate graphs.
Key Questions
- What does the first derivative tell us about the shape of a curve?
- How does the second derivative relate to concavity?
- How do we identify points of inflection?
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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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