Transformations of Trigonometric Functions
Students interpret and apply transformations (amplitude, period, phase shift, vertical shift) to sine and cosine graphs.
Key Questions
- Explain how vertical and horizontal shifts correspond to physical changes in a wave system.
- Differentiate the effect of changing the 'A', 'B', 'C', and 'D' values in a trigonometric function.
- Design a trigonometric function that models a specific periodic phenomenon with given characteristics.
ACARA Content Descriptions
Suggested Methodologies
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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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