Gradients of Curves & Area Under Graphs (GCSE Higher)

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About Course

Learn how to estimate the gradient of a curve by drawing a tangent, how to estimate the area under a graph using trapezium strips, and what these values mean in real contexts such as distance–time and velocity–time graphs. This is a GCSE Higher tier skill.

Tutwoo is an independent learning provider. This course supports GCSE maths revision and is not produced or endorsed by any exam board. It is not an accredited qualification.

What Will You Learn?

  • Find the gradient of a straight line and interpret it as a rate of change
  • Estimate the gradient of a curve at a point using a tangent
  • Estimate the area under a curve using equal-width trapezium strips and say whether it is an over- or underestimate
  • Interpret gradients and areas on distance–time and velocity–time graphs, with correct units

Course Content

Course Lessons

  • Gradient as a rate of change
  • Estimating the gradient of a curve with a tangent
  • Estimating the area under a graph
  • Interpreting gradients and areas in context

Sources & Further Reading
The official guidance this course is based on.

Final Assessment

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