Rates of Change and Gradients
Understanding average rate of change and introducing the concept of instantaneous rate of change.
About This Topic
Understanding average rate of change and introducing the concept of instantaneous rate of change.
Key Questions
- Differentiate between average and instantaneous rates of change with real-world examples.
- Explain how the gradient of a secant line approximates the gradient of a tangent line.
- Analyze the significance of a zero rate of change in a physical context.
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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.
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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