Transformations on a grid
Mathematics · Geometry · representational
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
What mastery looks like
- 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
Check your understanding
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'?
Prerequisites
None — this is a foundational concept.