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Download Lesson Resources for Planes of Symmetry in 3D Shapes

Mr Mathematics membership Save hours of planning with the full lesson pack — includes presentation, worksheet and detailed solutions.

What's included in this lesson pack

  • Ready-to-teach PowerPoint presentation
  • Printable student worksheet
  • Scaffolded examples for progress and constant challenge
  • Exam-style questions
  • Answers for checking and feedback

Planes of Symmetry in 3D Shapes

 

Students learn to identify planes of symmetry in 3D shapes using clear diagrams, isometric drawings and careful reasoning about reflection across a plane.

The lesson moves from recognising symmetry planes in familiar solids such as cubes, cuboids, prisms and pyramids to visualising and justifying symmetry in more complex solids represented on isometric paper.

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Differentiated Learning Objectives

  • All students should be able to identify planes of symmetry in a cube and other simple prisms using diagrams and clear spatial reasoning.
  • Most students should be able to identify planes of symmetry in pyramids and composite solids represented on isometric paper, explaining why each plane is a symmetry plane.
  • Some students should be able to sketch planes of symmetry on 3D diagrams and justify symmetry properties for unfamiliar solids by testing reflection across a candidate plane.

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