Area Under a Curve
Students will calculate the area bounded by a curve and the x-axis or y-axis.
Key Questions
- Construct the integral expression to find the area under a curve.
- Explain how to handle areas below the x-axis when calculating total area.
- Analyze the geometric interpretation of a definite integral as area.
MOE Syllabus Outcomes
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.