2-D shapes
Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
Lesson
Set out your lesson
“A 2-D shape is flat. A circle has one continuous curved edge and no corners. A triangle has three straight sides and three corners. A rectangle has four straight sides and four square corners. A square is a special rectangle with four equal sides. A shape keeps its name when it is bigger, smaller, turned, or rotated.”
Bring to the table
- Twelve large paper shape cards prepared by the parent
- Paper
- Crayon or pencil
Extra for the adult
Worked example. Turn a triangle so one corner points down. Count three straight sides and three corners: it is still a triangle. Compare a square with a longer rectangle: both are rectangles with four square corners, while the square has four equal sides.
Optional challenge. Ask your child to draw each shape in an unusual size or orientation, then explain why a tilted square is still a square and also a rectangle.
What to notice. Save a short parent note confirming the child named circle, triangle, rectangle, and square when some were turned or resized and selected all the triangles from the mixed set. A photo may show only the large paper cards.
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Teaching approaches
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1 approach
A 2-D shape is flat. A circle has one continuous curved edge and no corners. A triangle has three straight sides and three corners. A rectangle has four straight sides and four square corners. A square is a special rectangle with four equal sides. A shape keeps its name when it is bigger, smaller, turned, or rotated.
Spend 10 minutes naming large parent-drawn circles, triangles, rectangles, and squares, then turn and resize the drawings and find every triangle in a mixed set.
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
What do these shapes have in Common?
Before you open · source notes
Shared attributes support naming and sorting 2-D shapes. Not every coordinate plotting task.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to name one shared attribute and one that differs between two shapes.
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 2026-11-12 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. “What do these shapes have in Common?.” 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
- Name a triangle, circle, rectangle, and square when shown them
- Identify a shape correctly regardless of its size or orientation
- Pick out all the triangles from a mixed set of shapes
“Can your child point to shapes around the house — like a clock, a window, or a pizza — and correctly name whether each is a circle, triangle, rectangle, or square?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 3–8
Standards