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• VCMMG198

  Connect three-dimensional objects with their nets and other two-dimensional representations

  Elaborations

  • identifying the shape and relative position of each face of a solid to determine the net of the solid, including that of prisms and pyramids
  • representing two-dimensional shapes such as photographs, sketches and images created by digital technologies

  VCMMG198 | Mathematics | Level 5 | Measurement and Geometry | Shape

• VCMMG197

  Compare 12- and 24-hour time systems and convert between them

  Elaborations

  • investigating the ways time was and is measured in different Aboriginal Country, such as using tidal change
  • using units hours, minutes and seconds

  VCMMG197 | Mathematics | Level 5 | Measurement and Geometry | Using units of measurement

• VCMMG196

  Calculate the perimeter and area of rectangles and the volume and capacity of prisms using familiar metric units

  Elaborations

  • exploring efficient ways of calculating the perimeters of rectangles such as adding the length and width together and doubling the result
  • exploring efficient ways of finding the areas of rectangles
  • measuring volume and capacity by counting the number of cubes (cubic centimetres)
  • exploring efficient ways of finding the volume and capacity of rectangular prisms and cubes

  VCMMG196 | Mathematics | Level 5 | Measurement and Geometry | Using units of measurement

• VCMMG202

  Estimate, measure and compare angles using degrees. Construct angles using a protractor

  Elaborations

  • measuring and constructing angles using both 180° and 360° protractors
  • recognising that angles have arms and a vertex, and that size is the amount of turn required for one arm to coincide with the other

  VCMMG202 | Mathematics | Level 5 | Measurement and Geometry | Geometric reasoning

• VCMMG195

  Choose appropriate units of measurement for length, area, volume, capacity and mass

  Elaborations

  • investigating alternative measures of scale to demonstrate that these vary between countries and change over time. For example, temperature measurement in Australia, Indonesia, Japan and USA
  • recognising that some units of measurement are better suited for some tasks than others, for example kilometres rather than metres to measure the distance between two towns

  VCMMG195 | Mathematics | Level 5 | Measurement and Geometry | Using units of measurement

• VCMMG142

  Make models of three-dimensional objects and describe key features

  Elaborations

  • exploring the creation of three-dimensional objects, including prisms and pyramids, using origami

  VCMMG142 | Mathematics | Level 3 | Measurement and Geometry | Shape

• VCMMG173

  Create symmetrical patterns, pictures and shapes with and without digital technologies

  Elaborations

  • using stimulus materials such as the motifs in Central Asian textiles, Tibetan artefacts, Indian lotus designs and symmetry in Yolngu or Central and Western Desert art

  VCMMG173 | Mathematics | Level 4 | Measurement and Geometry | Location and transformation

• VCMMG123

  Investigate the effect of one-step slides and flips with and without digital technologies

  Elaborations

  • understanding that objects can be moved but changing position does not alter an object’s size or features

  VCMMG123 | Mathematics | Level 2 | Measurement and Geometry | Location and transformation

• VCMMG099

  Give and follow directions to familiar locations

  Elaborations

  • understanding that people need to give and follow directions to and from a place, and that this involves turns, direction and distance
  • understanding the meaning and importance of words such as ‘clockwise’, ‘anticlockwise’, ‘forward’ and ‘under’ when giving and following directions
  • interpreting and following directions around familiar locations

  VCMMG099 | Mathematics | Level 1 | Measurement and Geometry | Location and transformation

• VCMMG172

  Use simple scales, legends and directions to interpret information contained in basic maps

  Elaborations

  • identifying the scale used on maps of cities and rural areas in Australia and a city in Indonesia and describing the difference
  • using directions to find features on a map

  VCMMG172 | Mathematics | Level 4 | Measurement and Geometry | Location and transformation

• VCMMG122

  Interpret simple maps of familiar locations and identify the relative positions of key features

  Elaborations

  • understanding that we use representations of objects and their positions, such as on maps, to allow us to receive and give directions and to describe place
  • constructing arrangements of objects from a set of directions

  VCMMG122 | Mathematics | Level 2 | Measurement and Geometry | Location and transformation

• VCMMG124

  Identify and describe half and quarter turns

  Elaborations

  • predicting and reproducing a pattern based around half and quarter turns of a shape and sketching the next element in the pattern

  VCMMG124 | Mathematics | Level 2 | Measurement and Geometry | Location and transformation

• VCMMG144

  Identify symmetry in the environment

  Elaborations

  • identifying symmetry in Aboriginal rock carvings or art
  • identifying symmetry in the natural and built environment

  VCMMG144 | Mathematics | Level 3 | Measurement and Geometry | Location and transformation

• VCMMG143

  Create and interpret simple grid maps to show position and pathways

  Elaborations

  • creating a map of the classroom or playground

  VCMMG143 | Mathematics | Level 3 | Measurement and Geometry | Location and transformation

• VCMMG264

  Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal

  Elaborations

  • defining and classifying pairs of angles as complementary, supplementary, adjacent and vertically opposite

  VCMMG264 | Mathematics | Level 7 | Measurement and Geometry | Geometric reasoning

• VCMMG265

  Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning

  Elaborations

  • constructing parallel and perpendicular lines using their properties, a pair of compasses and a ruler, and dynamic geometry software
  • defining and identifying the relationships between alternate, corresponding and co-interior angles for a pair of parallel lines cut by a transversal

  VCMMG265 | Mathematics | Level 7 | Measurement and Geometry | Geometric reasoning

• VCMMG261

  Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries

  Elaborations

  • describing patterns and investigating different ways to produce the same transformation such as using two successive reflections to provide the same result as a translation
  • creating and re-creating patterns using combinations of reflections and rotations, using digital technologies

  VCMMG261 | Mathematics | Level 7 | Measurement and Geometry | Location and transformation

• VCMMG260

  Draw different views of prisms and solids formed from combinations of prisms

  Elaborations

  • using aerial views of buildings and other 3-D structures to visualise the structure of the building or prism

  VCMMG260 | Mathematics | Level 7 | Measurement and Geometry | Shape

• VCMMG259

  Calculate volumes of rectangular prisms

  Elaborations

  • investigating volumes of cubes and rectangular prisms and establishing and using the formula V = l × b × h
  • understanding and using cubic units when interpreting and finding volumes of cubes and rectangular prisms

  VCMMG259 | Mathematics | Level 7 | Measurement and Geometry | Using units of measurement

• VCMMG263

  Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral

  Elaborations

  • using concrete materials and digital technologies to investigate the angle sum of a triangle and quadrilateral

  VCMMG263 | Mathematics | Level 7 | Measurement and Geometry | Geometric reasoning