Year 12 Retrieval: Exponential and Logarithmic Functions
Exploring the properties, graphs, and applications of exponential and logarithmic functions.
Key Questions
- Evaluate the applicability of logarithmic differentiation to functions that are difficult to differentiate using the chain, product, or quotient rules alone.
- Analyse the role of e^x and ln x as mutual inverses in deriving the standard integration results ∫e^x dx and ∫(1/x) dx, and extend this reasoning to ∫e^(kx) dx.
- Synthesise solutions to equations combining exponential and logarithmic expressions in contexts drawn from Year 13 modelling, such as exponential growth and Newton's law of cooling.
National Curriculum Attainment Targets
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.
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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