### 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 2
A student:

end of STAGE 2
A student:

APPLYING CONCEPTS OF 3D OBJECTS
• Identifies, describes and compares features of prisms, pyramids, cylinders, cones and spheres
• Makes models of 3D objects
• Creates nets from everyday packaging

• Represents 3D objects in drawings showing depth
• Sketches 3D objects from different views
• Interprets and makes drawings of objects on isometric grid paper

APPLYING CONCEPTS OF 2D SHAPES
• Identifies and names the special quadrilaterals presented in different orientations
• Identifies and describes shapes as regular and irregular
• Describes and compares features of shapes, including the special quadrilaterals
• Identifies and draws lines of symmetry on shapes

• Combines common shapes to form other shapes and records the arrangement
• Splits common shapes into other shapes and records the results
• Uses transformations to create and describe symmetrical designs
• Creates tessellating designs

APPLYING CONCEPTS OF ANGLES AND GEOMETRY
• Identifies and describes angles as measures of turn
• Compares angle sizes in everyday situations
• Identifies perpendicular lines and right angles

• Draws and classifies angles as acute, obtuse, straight, reflex or a revolution

UNDERSTAND POSITION, MAPS AND GRID REFERENCES
• Uses grid-referenced maps to locate and describe positions and pathways
• Draws simple maps, with and without a grid

• Determines directions N, E, S, W and NE, SE, SW, NW, given one of the directions
• Interprets legends and directions on maps
• Uses the scale to calculate the distance between two points on maps

KLA APPLICATION AND CONSIDERATIONS

CREATIVE ARTS

• Explores more complex patterns and tessellations

PDHPE

• Creates and observes balances in gymnastics to identify regular and irregular slopes, symmetry and angles of body parts in relation to others

SCIENCE AND TECHNOLOGY

• Describes changes that have occurred over time in the natural environment
• Observes how time can be measured through investigation of the movement of the sun and shadows

LANGUAGES

• Draws and labels a simple town plan in the target language, with or without grid paper
• Uses grid references to locate landmarks on a town plan or map
• Uses isometric grid paper to copy a map of the target country
• Uses the scale to calculate distances between two points on a map of the target country

GEOGRAPHY

• Uses spatial technologies to represent geographical findings
• Uses maps featuring cartographic conventions of scale, legend, title and orientation
• Compares characteristics of places from the local to the national scale
• Interprets maps, including satellite images, location, direction, distance, spatial distribution and patterns
• Reads maps to interpret location, distance and direction

HISTORY

• Uses simple world maps and globes to follow explorers’ voyagers of discovery
• Creates a timeline indicating the longevity of the First Australians’ occupation of Australia
• Outlines the voyages of sea explorers
• Uses cardinal compass points
• Discusses the use of latitudinal zones by explorers (e.g. the Roaring Forties)