MA21-06 Maths Coming soon
Gradient of a straight line as a rate of change
MA21-06
This lesson is coming soon.
In this lesson
Read the gradient of a straight-line graph as a rate of change in context, and recognise the graph shapes that show direct and inverse proportion.
What it covers
- Reading the gradient of a straight-line graph as a rate of change in a real context (e.g. speed from a distance-time graph)
- Recognising the graph of direct proportion: a straight line through the origin
- Recognising the graph of inverse proportion: a curve that falls as x increases and never touches either axis
- Identifying common decoy graphs that are NOT inverse proportion (e.g. a curve that starts at the origin, or a straight line with a non-zero intercept)
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Edexcel IGCSE 4MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | R14 | Interpret the gradient of a straight-line graph as a rate of change |
| Edexcel GCSE 1MA1 | R14 | Interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion |
| Edexcel IGCSE 4MA1 | H2.5A | Set up problems involving direct or inverse proportion and relate algebraic solutions to graphical representation of the equations |
| Eduqas GCSE C300 | FR15 | Interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion |
| Eduqas GCSE C300 | HR15 | Interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion |
| OCR GCSE J560 | 7.04a | Construct and interpret graphs in real-world contexts. |
For teachers
This GCSE Maths lesson teaches gradient of a straight line as a rate of change. By the end, students should be able to read the gradient of a straight-line graph as a rate of change in context, and recognise the graph shapes that show direct and inverse proportion. It works through two worked examples and the mistakes examiners report.