# 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.