MA16-03 Maths Coming soon
Turning Point by Completing the Square
MA16-03
This lesson is coming soon.
In this lesson
Deduce the turning point of a quadratic function by completing the square first, correctly converting the completed-square form into turning-point coordinates.
What it covers
- Using a quadratic already completed into the square (or completing it as the first step) to deduce the turning point's coordinates
- The sign-flip rule: for y = (x+p)^2 + q, the turning point is at (-p, q), taught as a named, explicit trap
- Defining the vocabulary term 'turning point' up front, since some non-attempts stem from not recognising the term rather than lacking the maths
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A11 | Identify and interpret roots, intercepts and turning points of quadratic functions graphically |
| Edexcel GCSE 1MA1 | A11 | Identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically |
| Eduqas GCSE C300 | HA11 | Identify and interpret roots, intercepts, turning points (stationary points) of quadratic functions graphically; deduce roots algebraically, turning points (stationary points) by completing the square |
| OCR GCSE J560 | 7.01c | Recognise and sketch the graphs of simple linear and quadratic functions. |
For teachers
This GCSE Maths lesson teaches turning point by completing the square. By the end, students should be able to deduce the turning point of a quadratic function by completing the square first, correctly converting the completed-square form into turning-point coordinates. It works through two worked examples and the mistakes examiners report.