Composing Shapes

MathematicsGeometryAges 6–7

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.

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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