Tangents and Normals
Finding the equations of tangent and normal lines to a curve at a given point.
Key Questions
- Analyze the relationship between the gradient of a tangent and the gradient of a normal line.
- Design the equation of a tangent line to a curve at a specified point.
- Evaluate the significance of tangent lines in approximating function values.
ACARA Content Descriptions
Suggested Methodologies
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Planning templates for 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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Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
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