FOCUS AREA 3 : Spatial visualisation, geometric reasoning and mapping
A student understands and applies concepts of 2D shapes and 3D objects, angles and position

ASPECTS OF NUMERACY FOCUS AREA 3

early in STAGE 3
A student:

end of STAGE 3
A student:

APPLYING CONCEPTS OF 3D OBJECTS
  • Names prisms and pyramids according to the shape of the ‘base’
  • Recognises that prisms have a uniform cross section and pyramids do not
  • Describes and compares properties of prisms and pyramids in terms of their faces, edges and vertices
  • Connects 3D objects with their nets


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  • Constructs prisms and pyramids using a variety of materials and given drawings from different views
  • Draws different views of prisms and solids formed from combinations of prisms

 

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APPLYING CONCEPTS OF 2D SHAPES
  • Identifies and draws right-angled, equilateral, isosceles and scalene triangles
  • Compares and describes side and angle properties of quadrilaterals and triangles
  • Classifies and draws 2D shapes from given features
  • Uses the terms ‘translate’, ‘reflect’ and ‘rotate’ to describe transformations of shapes
  • Identifies line and rotational symmetries
  • Makes and compares enlargements of shapes


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  • Describes, compares and draws diagonals of 2D shapes
  • Identifies and names parts of circles
  • Identifies, uses and describes combinations of translations, reflections and rotations

 

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APPLYING CONCEPTS OF ANGLES AND GEOMETRY
  • Measures, compares, estimates and constructs angles in degrees (up to 360°)
  • Records angle measurements using the symbol for degrees (°)
  • Describes angle size in degrees for each angle classification


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  • Identifies and names angle types formed by the intersection of straight lines, including ‘angles on a straight line’, ‘angles at a point’ and ‘vertically opposite angles’
  • Uses known angle results to find unknown angles in diagrams

 

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UNDERSTAND POSITION, MAPS AND GRID REFERENCES
  • Uses grid-referenced maps to locate and describe positions
  • Follows a sequence of directions, including compass directions, to find a particular location on a map
  • Describes routes using landmarks and directional language


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  • Plots points on a number plane with four quadrants

 

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KLA APPLICATION AND CONSIDERATIONS

CREATIVE ARTS

  • Explores and describes how patterns are made e.g. looking at the work of M.C. Escher
  • Makes tessellations using tiles and blocks through flipping, sliding and turning
  • Interprets perspective in drawings
  • Builds models from cubes or own imagination and orders them in size to construct a cityscape


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GEOGRAPHY

  • Locates and uses small and large scale maps to identify location, latitudinal points, direction, scale, distance and map references
  • Constructs maps to represent geographical data, using spatial technologies
  • Describes places using local and global scales

HISTORY

  • Outlines settlement patterns in 19th century Australia
  • Uses a range of mapping strategies to communicate historical information

LANGUAGES

  • Gives and follows simple directions in the target language, using landmarks and directional language, e.g. turn left at the post office

 

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