Introduction to Derivatives
Students define the derivative using the limit definition and interpret it as an instantaneous rate of change and slope of the tangent.
About This Topic
Students define the derivative using the limit definition and interpret it as an instantaneous rate of change and slope of the tangent.
Key Questions
- Analyze the relationship between the secant line and the tangent line in the context of derivatives.
- Justify why the derivative of a function is also a function itself.
- Compare the average rate of change with the instantaneous rate of change.
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.
RubricMath Rubric
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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