GCSE Maths (Edexcel)

435 videos | 33 hours

Trapezium Approximation

Please subscribe to watch this video.

This, and all other videos, are included in our premium subscriptions.

Premium accounts get access to all videos.

Algebra Graphs

Trapezium Approximation

6:54 Areas Under Graphs
Spec A15
Previous Area Under a Graph Next Velocity from Displacement-Time Graphs
  • Triangles, rectangles, and trapezia can be drawn under a graph using points on the graph
  • These shapes can be used to approximate the area under the graph
  • The area under the curve represents changing y values multiplied across the range of x values
  • The area can be approximated by calculating the areas of the geometric shapes
  • The area of a trapezium is given by (a + b)/2 * h, where a and b are the y coordinates and h is the change in x values
  • The area of a rectangle is base * height, and the area of a triangle is 1/2 * base * height
  • The more shapes used, the closer the approximation will be to the actual area
  • Computers can use many shapes to calculate accurate approximations
  • An example is given to demonstrate the process of using trapezia to approximate the area under a graph
  • The area is split into four trapezia of equal width
  • The base length of each trapezium is determined by substituting x values into the equation of the graph
  • The area of each trapezium is calculated using the formula (a + b)/2 * h
  • The areas of the trapezia are added together to find the total area, which is the approximation of the area under the curve.

Please subscribe to access these revision notes.

This, and all other video notes, are included in our premium subscriptions.

Premium accounts get access to all videos and revision notes.