MA21-08 Maths Coming soon
Estimate the area under a curve using trapezia
MA21-08
This lesson is coming soon.
In this lesson
Estimate the area under a non-linear graph by splitting it into trapezia (and triangles), and interpret the resulting area in context.
What it covers
- Splitting the region under a curved graph into a sensible number of trapezia and/or triangles
- Reading axis scales correctly before calculating any areas
- Calculating the area of each trapezium/triangle strip using the trapezium area formula and summing them
- Interpreting the total estimated area in context (e.g. area under a speed-time graph = estimated distance travelled)
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | R15 | Interpret the gradient at a point on a curve as the instantaneous rate of change |
| Edexcel GCSE 1MA1 | R15 | Interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of average and instantaneous rate of change (gradients of chords and tangents) in numerical, algebraic and graphical contexts (this does not include calculus) |
| Eduqas GCSE C300 | HR16 | Interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of average and instantaneous rate of change (gradients of chords and tangents) in numerical, algebraic and graphical contexts |
For teachers
This GCSE Maths lesson teaches estimate the area under a curve using trapezia. By the end, students should be able to estimate the area under a non-linear graph by splitting it into trapezia (and triangles), and interpret the resulting area in context. It works through one worked example and the mistakes examiners report.