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Shape Detectives

Maths • 30 • 1 students • Created with AI following Aligned with New Zealand Curriculum

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Maths
30
1 students
11 August 2026

Teaching Instructions

Recap on Symmetry and reflection, 2D and 3D shapes. Worksheet using a diagram to sort shapes that have same features such as, symmetrical, same number of faces and vertices etc

Overview

Students revisit symmetry and reflection, then identify and sort familiar 2D and 3D shapes by observable features. The lesson uses talk, movement and a simple diagram-based worksheet to build early geometric language and reasoning.

Learning intentions

  • WALT recognise and describe familiar 2D and 3D shapes.
  • WALT identify whether a shape has a line of symmetry.
  • WALT sort shapes by features such as sides, faces and vertices.
  • WALT explain how I know shapes belong in the same group.

Success criteria

  • I can name or point to familiar 2D and 3D shapes.
  • I can show or identify a line of symmetry.
  • I can count and compare sides, faces and vertices using practical models.
  • I can sort shapes and explain one feature they share.

Curriculum links

  • Mathematics and Statistics — Mathsteasers: higher-order thinking questions that challenge learners and deepen understanding.
  • Mathematics and Statistics — Mathsteasers / Alignment: connecting challenge questions with familiar mathematics learning.
  • Mathematics and Statistics — Mathsteasers / Additional resources for advanced learners: reasoning, explaining and justifying mathematical ideas.

Lesson structure (30 minutes)

  1. 0–5 min · Shape hook and recap. Teacher opens the shape detective introduction and displays a mixed collection of 2D and 3D shapes, asking, “Which shapes could be folded into two matching halves?” Students name, point to or handle shapes and share what they remember about symmetry, reflection and shape features.

  2. 5–10 min · Model the language. Teacher uses the symmetry and shape features slides to model folding or imagining a square in half, then revises that 2D shapes have sides and vertices, while 3D shapes have faces, edges and vertices. Students copy a simple mirror movement, locate a line of symmetry on a square or rectangle, and count features with the teacher.

  3. 10–14 min · Guided investigation. Teacher presents one 2D shape and one 3D shape, thinking aloud: “This cube has flat faces and vertices. How is it the same as, or different from, this square?” Students handle or point to available models, answer one question at a time, and use gestures or counters to count features.

  4. 14–24 min · Sort and record. Teacher distributes the shape sorting diagram worksheet and reads each instruction aloud, supporting the learner to sort pictured shapes into groups such as “has a line of symmetry”, “has four vertices”, “has six faces” or “has curved surfaces”. Students draw, circle, colour or connect shapes in the diagram, then explain their choices. For one learner, work interactively on the same sheet; for a larger mixed-age group, pair younger students with a supportive peer.

  5. 24–28 min · Reasoning challenge. Teacher shows the sorting challenge slides and asks, “Can one shape belong in two groups?” and “Can you find two shapes with the same number of vertices but different faces?” Students justify an answer using a sentence frame: “I put ___ with ___ because they both have ___.”

  6. 28–30 min · Plenary and check. Teacher returns to the final recap slide and asks the learner to name one 2D feature, one 3D feature and one symmetry idea. Students complete an oral or drawn exit response: “A square is symmetrical because…” or “A cube has ___ faces.”

Resources

  • the shape detective slide deck
  • the shape sorting diagram worksheet
  • Selection of familiar 2D shapes: square, rectangle, triangle and circle
  • Selection of familiar 3D objects: cube, cuboid, sphere and cylinder
  • Small mirror or folded paper
  • Counters or small stickers for counting features
  • Pencils, crayons and highlighters
  • Whiteboard and marker

Assessment

  • Listen for accurate use, or pointing, of shape names and observe whether the learner can locate a line of symmetry.
  • During worksheet sorting, ask the learner to count features and explain one grouping rather than relying only on correct placement.
  • Use the final oral or drawn response to identify whether further teaching is needed for symmetry, 2D features or 3D features.

Differentiation

  • For support and Maths Acceleration, use real objects before pictures, present one shape at a time, count aloud together, and accept pointing, matching, drawing or oral answers. Use sentence frames such as “They are the same because…” and “I can see ___.”
  • Provide dyslexia-friendly access: read all instructions aloud, use a clear sans-serif font, large uncluttered diagrams, high contrast, short lines of text and no requirement to copy lengthy vocabulary.
  • For EAL learners, model gestures and photographs alongside words; repeatedly use and display “same”, “different”, “side”, “face”, “edge”, “vertex” and “symmetrical”.
  • For advanced learners, ask them to create a new sorting rule, find a shape that fits two groups, or explain why a circle has no vertices while a cube has vertices.

Extension

  • Ask the learner to draw a shape that is symmetrical and a shape that is not, then mark the line of symmetry where appropriate.
  • Build a mystery shape description: “I have flat faces and vertices but no curved surface. What could I be?” Allow more than one answer where justified.

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