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MathematicsGeometryAges 10–13

Translating and reflecting shapes

Draw and translate simple shapes on the coordinate plane; reflect shapes in the axes

Lesson

Set out your lesson

“Translating and reflecting shapes 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 name cards
Extra for the adult

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

Optional challenge. For Translating and reflecting shapes, add one harder example after success.

What to notice. Keep one parent note: examples tried; results; support used. This session samples Translating and reflecting shapes, not mastery.

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Gakuva activity

Translating and reflecting shapes practice

Practice key ideas from Translating and reflecting shapes.

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 Translating and reflecting shapes. 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

  • Translate a triangle 3 units right and 2 units down on a coordinate grid and state the new coordinates
  • Reflect a shape in the x-axis and list the coordinates of the reflected vertices
  • Explain how translation changes coordinates (add/subtract) while reflection changes the sign of one coordinate
“If your child draws a triangle at coordinates (1, 2), (3, 2), and (2, 4) on a grid, can they then reflect it across the x-axis and tell you the new coordinates of each corner?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Geometry
Age range
Ages 10–13

Standards

acara-v9:AC9M6SP02the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-E1.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-E1.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-E1.4uk-nc-2013:Ma6/4.2b