Grade six, Edexcel GCSE Maths

Revision Notes

What is the gradient of a graph?

The gradient of a graph at any point is equal to the gradient of the tangent to the curve at that point.  Remember that a tangent is a line that just touches a curve (and doesn’t cross it).

How to estimate the gradient of & the area under a graph

Remember that a tangent is a line the just touches a curve (and doesn’t cross it).

  1. To find an estimate for the gradient:
    • Draw a tangent to the curve
    • Find the gradient of the tangent using Gradient =RISE ÷ RUN
  2. To find an estimate for the area:
    • Split area into vertical strips
    • Draw straight lines at top of strips
    • Find area of strips (trapeziums) using Area = ½(a + b)h

Examples

Estimating Areas & Gradients of Graphs Example 1, IGCSE & GCSE Maths revision notes
EAG REWRITTEN Example 5-3-20 Diagram 1, IGCSE & GCSE Maths revision notes
Estimating Areas & Gradients of Graphs Three, IGCSE & GCSE Maths revision notes
Estimating Areas & Gradients of Graphs Example 3, IGCSE & GCSE Maths revision notes

Question

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Edexcel GCSE Maths Notes

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