Topic 3 · Measurement & Geometry
Shapes & Mathematical Drawings
Inscribed polygons, ruler-and-compass constructions, scales, bearings, and symmetry in 3D.
By the end of this topic you can…
- Construct a regular polygon inside a circle
- Carry out standard ruler-and-compass constructions
- Use scales and three-figure bearings on a map
- Describe planes of symmetry in a 3D shape
Lessons
- Inscribed Polygons Drawing a regular hexagon, square, triangle and octagon inside a circle with only compasses and a straight edge.
- Constructions Constructing angles of 60°, 30°, 90° and 45°, and perpendiculars from a point on — or off — a line.
- Scales and Bearings on Maps Using map scales and three-figure bearings together to plot journeys and find distances.
- Reflective Symmetry in 3D Shapes Planes of symmetry in cuboids, cubes, prisms and cylinders — and a rule for counting them.
Shapes and mathematical drawings quiz
Ten questions drawn at random from a bank of thirteen, covering inscribed polygons, constructions, bearings, scales and 3D symmetry.
10 questions · pass mark 70%