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MathematicsGeometryAges 6–7

Composing Shapes

Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape

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Teaching Table

Set out your lesson

Join and separate flat shapes, explaining the pieces rather than just naming the outline.

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.

Use the supplied outlines. Optional adult-assisted cutting or tracing; on-screen pointing is a planning adaptation, not evidence of physical assembly. 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.

What this lesson covers and its limits

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

  • partial: Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape

    Triangle and circular-part constructions only; general trapezoid/rectangle combinations remain untested. Actual manipulation conditional on access.

  • partial: Combine two triangles to form a rectangle or larger triangle

    Triangle and circular-part constructions only; general trapezoid/rectangle combinations remain untested. Actual manipulation conditional on access.

  • partial: Put together half-circles and quarter-circles to form circles or new shapes

    Triangle and circular-part constructions only; general trapezoid/rectangle combinations remain untested. Actual manipulation conditional on access.

  • partial: Decompose a composite shape and describe which simpler shapes make it up

    Triangle and circular-part constructions only; general trapezoid/rectangle combinations remain untested. Actual manipulation conditional on access.

  • partial: Can {{name}} use flat shapes like triangles and rectangles to fit together and make a new larger shape — like a puzzle?

    Triangle and circular-part constructions only; general trapezoid/rectangle combinations remain untested. Actual manipulation conditional on access.

  • Triangle and circular-part constructions only; general trapezoid/rectangle combinations remain untested. Actual manipulation conditional on access.

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Join and separate flat shapes, explaining the pieces rather than just naming the outline.

Join and separate flat shapes, explaining the pieces rather than just naming the outline.

Family records and proof options

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

Learning resources

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Check understanding

  • Combine two triangles to form a rectangle or larger triangle
  • Put together half-circles and quarter-circles to form circles or new shapes
  • Decompose a composite shape and describe which simpler shapes make it up
“Can your child use flat shapes like triangles and rectangles to fit together and make a new larger shape — like a puzzle?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Geometry
Age range
Ages 6–7

Standards

ccss-math:1.G.2