3D Shapes

Scheme of work: GCSE Foundation: Year 9: Term 2: 3D Shapes

Prerequisite Knowledge

  • Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them
  • recognise angles as a property of shape or a description of a turn
  • compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
  • identify acute and obtuse angles and compare and order angles up to two right angles by size
  • identify lines of symmetry in 2-D shapes presented in different orientations

Success Criteria

  • Use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons and regular polygons.
  • rotation symmetries; use the standard conventions for labelling and referring to the sides and angles of triangles; draw diagrams from written description
  • identify properties of the faces, surfaces, edges and vertices of: cubes, cuboids, prisms, cylinders, pyramids, cones and spheres
  • construct and interpret plans and elevations of 3D shapes.

Key Concepts

  • Understanding and applying the keywords is essential throughout this topic.
  • Students need to understand the geometrical difference between a prism and pyramid.
  • Horizontal lines are not drawn on isometric paper.

Common Misconceptions

  • Students often get confused about which elevation to draw and how to include hidden detail.
  • Some students find it very difficult to draw 3D shapes on isometric paper.

3D Shapes Resources

Mr Mathematics Blog

Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.