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MA16-10 Maths Coming soon

Graphs of Direct and Inverse Proportion

MA16-10

This lesson is coming soon.

In this lesson

Recognise the graph shapes of direct and inverse proportion, with confident recall of the inverse-proportion shape specifically.

What it covers

  • Recognising the graph of direct proportion (y=kx): a straight line through the origin
  • Recognising the graph of inverse proportion (y=k/x): the two-branch reciprocal-style curve
  • Weighting time disproportionately toward inverse proportion recognition specifically, since it is the documented weak point, not direct proportion

Key words

For: AQA GCSE 8300, Edexcel GCSE 1MA1, Edexcel IGCSE 4MA1, Eduqas GCSE C300, OCR GCSE J560

On the specification

BoardSpecStatement
AQA GCSE 8300R14Interpret the gradient of a straight-line graph as a rate of change
Edexcel GCSE 1MA1R14Interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion
Edexcel IGCSE 4MA1H2.5ASet up problems involving direct or inverse proportion and relate algebraic solutions to graphical representation of the equations
Eduqas GCSE C300FR15Interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion
Eduqas GCSE C300HR15Interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion
OCR GCSE J5607.04aConstruct and interpret graphs in real-world contexts.
For teachers

This GCSE Maths lesson teaches graphs of direct and inverse proportion. By the end, students should be able to recognise the graph shapes of direct and inverse proportion, with confident recall of the inverse-proportion shape specifically. It works through two worked examples and the mistakes examiners report.