MA28-07 Maths Coming soon
Describing combined transformations and invariance (Higher)
MA28-07
This lesson is coming soon.
In this lesson
Describe the overall effect of a sequence of two transformations (rotation, reflection, translation) as a single equivalent transformation, and identify any invariant points or lines.
What it covers
- Defining 'invariant' (a point or line that does not move under the transformation) with a worked example before any problem-solving
- Finding invariant point(s)/line(s) for a given transformation or combined sequence
- Describing the single transformation equivalent to a sequence of two rotations, reflections and/or translations
- Stating that rotations, reflections and translations all preserve congruence (length and angle), however many are combined
Key words
For: Edexcel IGCSE 4MA1, AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560, Cambridge IGCSE 0580
On the specification
| Board | Spec | Statement |
|---|---|---|
| Edexcel IGCSE 4MA1 | F5.2I | Understand that rotations, reflections and translations preserve length and angle so that a transformed shape under any of these transformations remains congruent to the original shape |
| AQA GCSE 8300 | G8 | Describe the changes and invariance achieved by combinations of rotations, reflections and translations |
| Edexcel GCSE 1MA1 | G8 | Describe the changes and invariance achieved by combinations of rotations, reflections and translations |
| Eduqas GCSE C300 | HG8 | Describe the changes and invariance achieved by combinations of rotations, reflections and translations |
| OCR GCSE J560 | 9.01d | Perform a sequence of isometric transformations (reflections, rotations or translations), on a simple shape. Describe the resulting transformation and the changes and invariance achieved. |
| Cambridge IGCSE 0580 | E7.1 | Transformations |
For teachers
This GCSE Maths lesson teaches describing combined transformations and invariance (Higher). By the end, students should be able to describe the overall effect of a sequence of two transformations (rotation, reflection, translation) as a single equivalent transformation, and identify any invariant points or lines. It works through two worked examples and the mistakes examiners report.