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

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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

• Visualises and draws different views of 3D objects

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

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

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

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

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

• Plots coordinates of linear equations and sketches the graphs

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

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