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
Typical age: 8–12 years
“If your child 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'?”
0 / 3 mastered
Explore graph
Needs first
Nothing — this is a great starting point!
Unlocks next
- Transformations on a GridREQUIRED
Describing and representing reflections and translations requires the grid-based transformation diagram
- Lines of symmetryREQUIRED
Completing a symmetric figure requires performing a reflection on a grid accurately
- 2-D shapes (age 8+)REQUIRED
Identifying lines of symmetry requires the ability to draw and interpret reflection on a grid
- Translating and reflecting shapesREQUIRED
Drawing and describing translations and reflections on coordinate planes is the direct application of transformation diagram skills
- Coordinates (age 10+)
Working with the full coordinate grid (all four quadrants) extends the transformation diagram to negative coordinates
- Describing MovementsREQUIRED
Describing translations on a grid requires the grid-based transformation diagram representation