MA12-06 Maths Watch
Graph Intersections as Simultaneous Solutions
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In this lesson
In this video you'll learn about graph intersections for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to explain why the coordinates of a graph intersection point are the solution to the two equations it represents.
What it covers
- The single idea that a graph intersection point's coordinates satisfy both equations at once
- Reading intersection coordinates off a given graph as an approximate or exact simultaneous solution
Key words
For: OCR GCSE J560, Edexcel IGCSE 4MA1
On the specification
| Board | Spec | Statement |
|---|---|---|
| OCR GCSE J560 | 6.03d | Use a graph to find the approximate solution of a linear equation. |
| Edexcel IGCSE 4MA1 | H2.6B | Interpret the equations as lines and the common solution as the point of intersection |
| Edexcel IGCSE 4MA1 | H3.3E | Find the intersection points of two graphs, one linear (y₁) and one non-linear (y₂), and recognise that the solutions correspond to the solutions of (y₂ - y₁) = 0 |
For teachers
This GCSE Maths lesson teaches graph intersections as simultaneous solutions. By the end, students should be able to explain why the coordinates of a graph intersection point are the solution to the two equations it represents. It works through two worked examples and the mistakes examiners report.