The Derivative
Define the derivative from first principles and develop differentiation rules for polynomials. Students calculate gradients of curves at specific points.
About This Topic
Define the derivative from first principles and develop differentiation rules for polynomials. Students calculate gradients of curves at specific points.
Key Questions
- What does the derivative represent geometrically?
- How do we differentiate polynomials using the power rule?
- How is the limit concept used to define the derivative?
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Planning templates for Mathematical Methods
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.
Unit PlannerMath Unit
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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Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
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