Graphs of Trigonometric Functions
This topic introduces the graphs of sine and cosine functions as periodic relations. Students will investigate amplitude, period, phase shift, and vertical translation.
About This Topic
This topic introduces the graphs of sine and cosine functions as periodic relations. Students will investigate amplitude, period, phase shift, and vertical translation.
Key Questions
- What are the characteristics of a periodic function?
- How do we graph sine and cosine functions?
- How do transformations affect the amplitude and period of a trigonometric graph?
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Planning templates for Functions
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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