Estimating the Area Under a Curve

Resources

Click an icon to access the resources.

View Estimating the Area Under a Curve video tutorial on YouTube

View Online Lesson

Download Lesson Resources for Estimating the Area Under a Curve

Estimating the Area Under a Curve

 

How to estimate the area under a curve using the trapezium rule.

As learning progresses, they interpret the area as displacement from a velocity-time graph.

Differentiated Learning Objectives
  • All students should be able to use trapezia to estimate the area under a parabola within a given range.
  • Most students should be able to estimate the area under the curve of a non-linear function with a given range.
  • Some students should be able to interpret the area under the curve of a velocity-time graph as a measure of displacement.
Scheme of Work Link
Functions, Iteration and Rates of Change

Mr Mathematics Blog

Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.