Logarithmic and Exponential Calculus
Students differentiate and integrate exponential and logarithmic functions and apply them to growth, decay, and rates-of-change problems.
About This Topic
Students differentiate and integrate exponential and logarithmic functions and apply them to growth, decay, and rates-of-change problems.
Key Questions
- Why does the exponential function appear so often in models of natural change?
- How do logarithms turn multiplicative problems into additive ones?
- Which real-world systems are well modelled by exponential growth, and where does the model break?
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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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