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 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

• 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

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

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

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

• 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

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

• Plots points on a number plane with four quadrants

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

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