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MathematicsGeometryAges 11–14

Coordinate Transformations

Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original

Lesson

Set out your lesson

“Coordinate Transformations means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”

Bring to the table

  • Paper shapes or a ruler and pencil
  • Shape or angle name cards
Extra for the adult

Worked example. A rectangle has four right angles. Naming the property is the check.

Optional challenge. For Coordinate Transformations, add one harder example after success.

What to notice. Keep one parent note: examples tried; results; support used. This session samples Coordinate Transformations, not mastery.

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Family records and proof options

Keep a record of your learning

Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.

Practice this concept

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Gakuva activity

Coordinate Transformations practice

Practice key ideas from Coordinate Transformations.

Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

PhET Interactive Simulations · Practice link — not the full lesson

Area Builder

Open practice (new tab)
Before you open · source notes

Area Builder supports hands-on exploration for Coordinate Transformations. Not every lab worksheet.

Free interactive page, no sign-in required for the tested path.

Before you open

Ask 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.

Unknown — link only

Check understanding

  • Reflect a shape in a given mirror line (including diagonal lines) and state the coordinates of the image
  • Rotate a shape about a given centre by 90° or 180° and describe the result
  • Translate a shape by a given vector and verify that lengths and angles are preserved
“If your child is asked to rotate a triangle 90° clockwise around a fixed point, can they work out where each corner ends up — and confirm the triangle is still the same size and shape?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Geometry
Age range
Ages 11–14

Standards

ccss-math:8.G.1accss-math:8.G.1bccss-math:8.G.1cccss-math:8.G.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-E1.4uk-nc-2013:KS3.Maths.Geo.8