Calculus and Rates of Change · Algebraic Thinking

Area Under a Curve

Using the trapezium rule and geometric estimation to find the area bounded by a function.

Key Questions

  1. 1What physical quantity does the area under a velocity time graph represent?
  2. 2How does increasing the number of trapeziums improve the accuracy of our estimate?
  3. 3Why is finding the area under a curve useful in physics and economics?

National Curriculum Attainment Targets

GCSE: Mathematics - AlgebraGCSE: Mathematics - Graphs
Year: Year 11
Subject: Mathematics
Unit: Calculus and Rates of Change
Period: Algebraic Thinking

Suggested Methodologies

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Gradients of Curves and Tangents

Estimating the gradient at a specific point on a non linear graph using tangents.

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