Area Under a Curve: Riemann Sums
Students approximate the area under a curve using Riemann sums (left, right, midpoint, trapezoidal).
Key Questions
- Analyze how increasing the number of rectangles improves the approximation of the area under a curve.
- Compare the accuracy of left, right, and midpoint Riemann sums.
- Construct a Riemann sum approximation for a given function over an interval.
Ontario Curriculum Expectations
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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