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 4
A student:

end of STAGE 4
A student:

APPLYING CONCEPTS OF 3D OBJECTS
  • Draws and identifies cross sections
  • Determines if a solid has a uniform or non-uniform cross section


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  • Visualises and draws different views of 3D objects


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APPLYING CONCEPTS OF 2D SHAPES
  • Translates, rotates and reflects points and shapes on a number plane


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  • Establishes and applies Pythagoras’ theorem to find sides in right-angled triangles
  • Solves problems involving Pythagoras’ theorem


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APPLYING CONCEPTS OF ANGLES AND GEOMETRY
  • Solves problems involving triangles and properties of quadrilaterals
  • Solves problems involving the angle sum of a triangle or quadrilateral
  • Identifies line and rotational symmetry


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  • Identifies congruent figures
  • Identifies congruent triangles using the four tests
  • Understands and applies angle relationships and parallel line theorems to solve problems


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UNDERSTAND POSITION, MAPS AND GRID REFERENCES
  • Graphs, interprets and analyses graphs of linear relationships including interpolation and extrapolation
  • Uses contour maps
  • Uses synoptic charts


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  • Plots coordinates of linear equations and sketches the graphs


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KLA APPLICATION AND CONSIDERATIONS

GEOGRAPHY

  • Locates reference points on the globe, latitude and longitude
  • Creates perspective drawings; looks at contour lines, reads and interprets synoptic charts; creates and interprets complex spatial information from maps and grids

HISTORY

  • Investigates position of important places and position in the world
  • Maps the spread of the Black Death

PDHPE

  • Works in grids, squares, rectangles and dance formations
  • Looks at angles and biomechanical principles e.g. best angles for throwing, pivoting and angles of the body

SCIENCE

  • Draws scientific diagrams in two dimensions
  • Describes shapes of transparent prisms


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GEOGRAPHY

  • Constructs a variety of maps in different scales, conforming to cartographic conventions for different purposes
  • Navigates through online mapping systems to retrieve observational data, e.g. Google Earth

HISTORY

  • Comprehends maps and globes that illustrate movements of people using an historical key

LANGUAGES

  • Expresses weather-related vocabulary using a synoptic chart as stimulus

PDHPE

  • Uses terminology to represent positions in games

TAS

  • Draws plans to scale of rooms in a house
  • Uses length conversions for drawing furniture to scale


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