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
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Transformations on a grid means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Paper shapes or a ruler and pencil; Shape name cards. Adult traces or shows one shape and names a property (sides/angles). Child identifies three shapes or measures one simple property and records it. Done: three correct shape/property responses. Stop after the fresh check; keep optional challenge for another day.
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Start practiceTransformations on a grid practice
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Learning resources
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PhET Interactive Simulations · Practice link — not the full lesson
Area Builder
Before you open · source notes
Area Builder supports hands-on exploration for Transformations on a grid. Not every lab worksheet.
Free interactive page, no sign-in required for the tested path.
Before you openAsk the learner what they changed in the sim or page and what they observed.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
PhET Interactive Simulations. “Area Builder.” External page; Gakuva does not copy, host, embed, or redistribute materials.
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Check 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 or with geometry software, check the image is congruent to the original and say what changed (position, orientation)
“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'?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 8–13
Standards