Year 12 Retrieval: Graphs of Functions and Transformations
Analyzing and sketching graphs of various functions, including transformations (translations, stretches, reflections).
Key Questions
- Evaluate how a sequence of combined transformations affects the asymptotes, turning points, and domain of a function, predicting the resulting graph without plotting.
- Analyse the graphical effect of composing a function with its modulus or reciprocal, linking features of the new graph to the sign changes of the original.
- Synthesise a sequence of transformations that maps a given parent function onto a target function arising in a calculus or mechanics context, expressing each step algebraically.
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.
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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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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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