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1.4 Calculation of Area Under Curves

1.4 Calculation of Area Under Curves

Author: Ian VanderSchee

Learners will approximate areas under curves using rectangles and/or trapezoids.

Learners will strategize how to make the approximate areas more accurate, using more rectangles/trapezoids of smaller width.

Learners will analyze whether a given approximation is an overestimate or an underestimate of the actual area.

As a lead-in to the future topic of integration, areas are calculated using rectangles and/or trapezoids.

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Calculating Areas Under Curves

Areas under curves are approximated using rectangles and trapezoids.

The Definite Integral

The concept and notation of the definite integral are discussed as they pertain to finding area under a curve.