Performing and Describing Rotation (including Combined Transformations)

Rotate a shape by a given angle about a marked centre point using a grid or tracing paper, and identify any invariant points.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM5-9
New NZC (2026)
  • NZC26-P4-GEO-SPR-K-Y9-01
  • NZC26-P4-GEO-SPR-P-Y9-02

Resources

Terminology

  • Rotation
  • Centre of rotation
  • Angle of rotation
  • Clockwise
  • Anticlockwise
  • Invariant point
  • Negative scale factor
  • Describe fully
  • Combined transformation
  • Single equivalent transformation

Task goals

  • Rotate a shape by a given angle about a marked centre point using a grid or tracing paper, and identify any invariant points.
  • Describe fully a single transformation (naming the type and giving its centre/angle, mirror line, vector, or scale factor including negative values) that maps one given shape onto another.
  • Determine and describe fully the single equivalent transformation for a given combination of two or more transformations applied in sequence.

Where this fits

What leads into this objective, and where it goes next.

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Performing and Describing Rotation (including Combined Transformations)

Performing and Describing Rotation (including Combined Transformations)

Know

A set of points in a plane can be transformed by translation, reflection about a line, and rotation about a fixed point.

Statement▸
Year 9 · Geometry · Spatial reasoning
NZC26-P4-GEO-SPR-K-Y9-01
Do

Transforming 2D shapes in the coordinate plane by translation, reflection about a given line of symmetry, and rotation about a given point by a multiple of 90 degrees

Statement▸
Year 9 · Geometry · Spatial reasoning
NZC26-P4-GEO-SPR-P-Y9-02

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