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Mathematics·Geometry·representational

Transformations on a grid

Represent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines, including the axes), translations (described as a vector or as left/right/up/down moves), and rotations (90° or 180° about a stated centre point); describe each transformation precisely using the correct language; identify which transformation maps one shape onto its image by comparing position, orientation, and size

Suggested ages 8–12

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Learning journey

Your child is advancing their understanding of shapes and space — working with coordinates on grids, identifying different types of angles, exploring symmetry, and classifying shapes by their properties.

Evidence of understanding

  • Reflect a shape in a given mirror line on a grid and label the new coordinates
  • Translate a shape by a given number of squares horizontally and vertically and describe the movement
  • Rotate a shape 90° or 180° about a given centre on a grid and check the image is congruent to the original

Assessment prompt

If Transformations on a grid sees a shape and its mirror image on squared paper, can they draw in the exact mirror line, and describe the reflection precisely — including where the line of reflection is — without just saying 'it flipped'?

Standards alignment

No external standards are linked to this topic.