Rotations About a Centre Point
This animation demonstrates how shapes rotate about a fixed centre, keeping every point the same distance from that centre while changing orientation. It shows how to fully describe a rotation using centre, angle, and direction, then applies coordinate rules like (x, y) to (−y, x) for a 90° anticlockwise turn. A comparison shows rotating about the origin versus another centre using translation. Useful for GCSE, IGCSE, Edexcel and O level maths students learning geometric transformations.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
The prompt that made it
Geometrical Transformation: Rotation Audience: IGCSE, GCSE, Edexcel and O level maths students Teaching plan: Learning goal: Students will identify and describe rotations by centre, angle and direction, and apply standard coordinate rules to rotate points accurately. 1. Build intuition: show a shape turning about a fixed centre; every point stays the same distance from the centre, while its orientation changes. 2. Visual explanation: describe a rotation fully using centre, angle and direction. Emphasise that clockwise and anticlockwise are opposite, and a 180° turn reverses orientation. 3. Worked example: rotate a point or polygon about the origin using a standard rule, such as 90° anticlockwise: (x, y) → (−y, x), then plot and check equal distances. 4. Extend the visual: compare rotations about the origin with a rotation about another centre by translating to the centre, rotating, then translating back. 5. Check understanding: students state the centre, angle and direction from a diagram, then rotate one point and explain how they verified its position.
Make the next one in this series
- Animate reflections showing how a line of symmetry maps points to their mirror images
- Show enlargements from a centre of enlargement using positive and negative scale factors
- Compare combined transformations, such as a rotation followed by a translation, on one shape
