Geometry

Maths is Fun website is a great resource to understand definitions of mathematics terms with examples.

See the video for an introduction into why we learn geometry and find out more about it.

Level 2 - Stage 5

  • Sort, identify, describe and compare 2D and 3D shapes
  • Justify differences and similarities when sorting
  • Circle
  • Triangle
  • Square
  • Rectangle
  • Diamond
  • Oval
  • Ellipse
  • Hexagon
  • Pentagon
  • Octagon
  • Rhombus
  • Kite
  • Trapezium


  • Sort, identify, describe and compare 2D and 3D shapes
  • Justify differences and similarities when sorting
  • Sphere
  • Cube
  • Cylinder
  • Cone
  • Prism
  • Pyramind


  • Follow and give direction using quarter, half and three quarter turns, clockwise or anti-clockwise, left and right and metric units such as metres
  • Create and use simple maps and plans
  • Describe views and pathways from locations on a map


  • Predict and describe reflective symmetry (flips) and draw lines of symmetry in everyday objects
  • Predict and describe patterns using translation (slides) of the same element or shape
  • Predict and describe patterns by rotating (turning) objects or shapes
  • Predict and describe the results of enlargements on shapes
  • Fit shapes together to form a tessellation
  • Predict and check whether a particular shape will tessellate because they have straight sides


Level 3 - Stage 6

Define, name, describe and draw 2D and 3D shapes by their spatial features
  • Sides
  • Corners
  • Angles
  • Diagonals
  • Perimetre
  • Centre
Identify right angles, horizontal lines, vertical lines, parallel lines
Define, name, describe and draw 2D and 3D shapes by their spatial features
  • Faces
  • Edges
  • Corners
  • Angles
  • Vertices
  • Surfaces

Identify right angles, horizontal lines, vertical lines, parallel lines


Draw nets for simple 3D shapes and make models (with equipment and paper) using the nets
Identify right angles, horizontal lines, vertical lines, parallel lines
  • Follow and give instructions involving distances in metres and compass directions including N, S, E, W, NE, NW, SE, SW
  • Interpret scale maps of the local area and New Zealand
  • Create and use coordinate systems to specify locations and describe paths


  • Enlarge (on grid paper) simple shapes to a specified scale
  • Describe the transformations of an object (e.g. reflection, rotation, translation, enlargement)
  • Design and make patterns that involve translation, reflection and rotation
  • Find all lines of reflective symmetry for a given shape or object
  • Predict and check whether a particular shape will tessellate because it has a right angle and straight lines