Education Technology

Approximate Gradient and Area

Activity Overview

Students approximate the gradient of a function using the Central Difference method and approximate area under a curve using a series of trapeziums. 


The aim of this activity is to introduce students to the concepts of gradient at a point and area bounded by a curve or curves. The methods used align to the VCE Methods curriculum. 


  • Gradient at a point
  • Approximation methods
  • Central Difference
  • Trapezoidal Rule

About the Lesson

In this activity students calculate the approximate gradient using the method known as 'central difference' method and approximate area using the trapezoidal rule.