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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

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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.

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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Translating and reflecting shapes practice

Practice key ideas from Translating and reflecting shapes.

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PhET Interactive Simulations · Practice link — not the full lesson

Area Builder

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Area Builder supports hands-on exploration for Translating and reflecting shapes. Not every lab worksheet.

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Ask the learner what they changed in the sim or page and what they observed.

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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

  • 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