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 5
A student:

end of STAGE 5
A student:

APPLYING CONCEPTS OF 3D OBJECTS
  • Uses knowledge of 3D objects to create composite shapes and designs


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  • Represents unique designs using 3D objects


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APPLYING CONCEPTS OF 2D SHAPES
  • Uses trigonometry to find sides and angles in right-angled triangles (angles measured to nearest degree)
  • Applies trigonometry to solve problems involving right-angled triangles, including the use of angles of elevation and depression, from a given diagram


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  • Uses trigonometry to find sides and angles in right-angled triangles (including angles measured to nearest minute or second)
  • Applies trigonometry to solve word problems involving right-angled triangles, including the use of three-figure bearings and angles of elevation and depression


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APPLYING CONCEPTS OF ANGLES AND GEOMETRY
  • Identifies similar figures and describes their properties informally
  • Uses scale factors and proportion statements to determine unknown lengths in similar figures
  • Uses scales on maps, plans and drawings


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  • Uses deductive reasoning with congruent triangles
  • Verifies properties of isosceles and equilateral triangles and special quadrilaterals using congruent triangles
  • Uses conditions for triangles to be similar
  • Uses results for the sum of exterior and interior angles in polygons


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UNDERSTAND POSITION, MAPS AND GRID REFERENCES
  • Graphs linear relationships using gradient-intercept form
  • Uses bearings on a map measured in degrees and minutes of latitude and longitude


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  • Graphs linear relationships, quadratics and cubic curves, exponentials, hyperbolas and circles


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KLA APPLICATION AND CONSIDERATIONS

GEOGRAPHY

  • Locates places using maps, coordinates measured in degrees and minutes, compass bearings, six point map references
  • Represents spatial distributions and geographical phenomena on maps at different scales conforming to cartographic conventions

HISTORY

  • Outlines the expansion of European settlement on a map of Aboriginal Australia to 1900


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HISTORY

  • Uses information from maps and globes as evidence in constructing historical narratives

SCIENCE

  • Investigates quantitatively, features of waves including frequency, wavelength and speed and relates this to musical instruments


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