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MathematicsGeometryAges 6–10

2-D shapes (age 6+)

Identify and describe properties of 2-D shapes including the number of sides and line symmetry in a vertical line

Lesson

Set out your lesson

Count boundary sides and test a vertical mirror line in the displayed orientation.

Before teaching

Activity

Can discuss the supplied example in an accessible mode; adapt directions without supplying the target answer.

Policy

Check the learner can follow the model with support before moving on. Source prerequisite ordering is not learner mastery; return to prerequisite work when needed.

Printer, credit, and teaching notes

Use a paper fold if printed or imagine folding left to right on screen. Do not label symmetry inside the learner graphic. Open S first, G together, then T alone; put S and G away before T. Keys stay adult-only. No purchase or printing is required; an unavailable physical observation remains pending, not passed.

Materials are ready in each step. Use them on screen or print just the current step. Put teaching examples aside before the learner tries.

Next: Show

Adult extras
What this lesson covers and its limits

These are bounded opportunities, not learner attainment. Partial and blocked source requirements remain so.

  • partial: Identify and describe properties of 2-D shapes including the number of sides and line symmetry in a vertical line

    Specified polygons and page orientation only; description of all 2-D shapes is not claimed.

  • partial: Count the number of sides of a given 2-D shape

    Specified polygons and page orientation only; description of all 2-D shapes is not claimed.

  • partial: Identify whether a 2-D shape has a vertical line of symmetry

    Specified polygons and page orientation only; description of all 2-D shapes is not claimed.

  • partial: Use properties (number of sides, symmetry) to describe and distinguish between shapes

    Specified polygons and page orientation only; description of all 2-D shapes is not claimed.

  • partial: Can {{name}} count the sides of a shape and say whether it has a line of symmetry — for example, knowing that a rectangle is symmetrical but a scalene triangle is not?

    Specified polygons and page orientation only; description of all 2-D shapes is not claimed.

  • Specified polygons and page orientation only; description of all 2-D shapes is not claimed.

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Teaching approaches

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1 approach

Selected Default Gakuva

Count boundary sides and test a vertical mirror line in the displayed orientation.

Count boundary sides and test a vertical mirror line in the displayed orientation.

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Learning resources

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

Illustrative Mathematics · Practice link — not the full lesson

All vs. Only some

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

Sort shape statements that are true of all shapes in a set versus only some. Supports talking about sides and properties of 2-D shapes.

Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.

Before you open

Ask for one property true of every shape shown and one true of only some. Adult reading helps.

Opening this link does not save learning or assess mastery.

Source, access and review notes

Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-11 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.

Illustrative Mathematics. “All vs. Only some.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.

CC BY-NC-SA 4.0 — link only

Check understanding

  • Count the number of sides of a given 2-D shape
  • Identify whether a 2-D shape has a vertical line of symmetry
  • Use properties (number of sides, symmetry) to describe and distinguish between shapes
“Can your child count the sides of a shape and say whether it has a line of symmetry — for example, knowing that a rectangle is symmetrical but a scalene triangle is not?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Geometry
Age range
Ages 6–10

Standards

acara-v9:AC9M2SP01acara-v9:AC9M4SP03the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G1-E1.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G2-E1.1uk-nc-2013:Maths/Y2/GPS/1