Applications of Differentiation (Gradients, Tangents, Normals)
Students apply differentiation to find the gradients of curves, and the equations of tangents and normals. They also use the second derivative test to determine the nature of stationary points.
About This Topic
Students apply differentiation to find the gradients of curves, and the equations of tangents and normals. They also use the second derivative test to determine the nature of stationary points.
Key Questions
- How do we find the equation of a tangent line to a curve?
- What is the geometric meaning of the normal to a curve?
- How does the second derivative help identify maximum and minimum points?
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Planning templates for Additional Mathematics
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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