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• VCMMG312

  Calculate the areas of composite shapes

  Elaborations

  • understanding that partitioning composite shapes into rectangles and triangles is a strategy for solving problems involving area

  VCMMG312 | Mathematics | Level 9 | Measurement and Geometry | Using units of measurement

• VCMMG013

  Respond to familiar everyday shapes and objects

  Elaborations

  • experiencing a variety of objects and their characteristics, and being introduced to the names of shapes through interaction with objects
  • reacting to three-dimensional objects in everyday situations with the use of sensory input, for example touching, feeling, looking, shaking, rolling
  • responding to objects and shapes as they are identified in the classroom and environment in everyday situations

  VCMMG013 | Mathematics | Level A | Measurement and Geometry | Shape

• VCMMG030

  Identify when two shapes or objects are the same sort or not

  Elaborations

  • using ‘posting’ of items into different containers or holes to manipulate and sort shapes and objects
  • recognising three dimensional objects when identified in the environment using everyday situations
  • matching everyday objects that are ‘the same’
  • exploring shapes by using ‘play dough’ and other malleable materials to make shapes
  • developing an awareness of the language used to describe shapes

  VCMMG030 | Mathematics | Level B | Measurement and Geometry | Shape

• VCMMG169

  Compare the areas of regular and irregular shapes by informal means

  Elaborations

  • comparing areas using metric units, such as counting the number of square centimetres required to cover two areas by overlaying the areas with a grid of centimetre squares

  VCMMG169 | Mathematics | Level 4 | Measurement and Geometry | Shape

• VCMMG170

  Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies

  Elaborations

  • identifying common two-dimensional shapes that are part of a composite shape by re-creating it from these shapes
  • creating two-dimensional shapes from verbal or written instructions

  VCMMG170 | Mathematics | Level 4 | Measurement and Geometry | Shape

• VCMMG064

  Use direct comparison to sort three dimensional objects and two dimensional shapes

  Elaborations

  • sorting shapes that are the ‘same’ or ‘different’
  • identifying, matching and sorting simple familiar two and three dimensional objects according to a single attribute
  • identifying familiar shapes hidden in a picture
  • investigating the inside and outside shape of an object
  • understanding the relationship between shape and template, for example, insert puzzle, inserting a shape in a matching shaped hole

  VCMMG064 | Mathematics | Level D | 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

• VCMMG120

  Describe and draw two-dimensional shapes, with and without digital technologies

  Elaborations

  • identifying key features of squares, rectangles, triangles, kites, rhombuses and circles, such as straight lines or curved lines, and counting the edges and corners

  VCMMG120 | Mathematics | Level 2 | Measurement and Geometry | Shape

• VCMMG171

  Explain and compare the geometric properties of two-dimensional shapes and three-dimensional objects

  Elaborations

  • describing the similarities and differences between two-dimensional shapes and three-dimensional objects
  • recognising two-dimensional shapes that are the faces for three-dimensional objects such as prisms, pyramids and platonic solids (including tetrahedrons, cubes and dodecahedrons)

  VCMMG171 | Mathematics | Level 4 | Measurement and Geometry | Shape

• VCMMG047

  Match familiar two dimensional shapes and three dimensional objects

  Elaborations

  • matching simple three dimensional shapes with similar attributes, for example, different-sized spheres
    • matching simple two dimensional shapes with similar attributes, for example, different-sized spheres
  • recognising the relationship between familiar shapes using insert puzzles

  VCMMG047 | Mathematics | Level C | Measurement and Geometry | Shape

• VCMNA110

  Recognise and interpret common uses of halves, quarters and eighths of shapes and collections

  Elaborations

  • recognising that sets of objects can be partitioned in different ways to demonstrate fractions
  • relating the number of parts to the size of a fraction

  VCMNA110 | Mathematics | Level 2 | Number and Algebra | Fractions and decimals

• VCMMG291

  Define congruence of plane shapes using transformations and use transformations of congruent shapes to produce regular patterns in the plane including tessellations with and without the use of digital technology

  Elaborations

  • understanding the properties that determine congruence of triangles and recognising which transformations create congruent figures
  • establishing that two figures are congruent if one shape lies exactly on top of the other after one or more transformations (translation, reflection, rotation), and recognising that the matching sides and the matching angles are equal
  • exploring tiling patterns in art and design

  VCMMG291 | Mathematics | Level 8 | Measurement and Geometry | Geometric reasoning

• VCMMG098

  Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features

  Elaborations

  • focusing on geometric features and describing shapes and objects using everyday words such as 'corners', 'edges' and 'faces'

  VCMMG098 | Mathematics | Level 1 | Measurement and Geometry | Shape

• VCMMG345

  Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

  Elaborations

  • distinguishing between a practical demonstration and a proof (for example demonstrating triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent)
  • performing a sequence of steps to determine an unknown angle giving a justification in moving from one step to the next.
  • communicating a proof using a sequence of logically connected statements

  VCMMG345 | Mathematics | Level 10 | Measurement and Geometry | Geometric reasoning

• VCMMG229

  Investigate the effect of combinations of transformations on simple and composite shapes, including creating tessellations, with and without the use of digital technologies

  Elaborations

  • understanding which attributes of a shape remain the same or change under the effects of transformations such as size, shape or orientation
  • creating tessellations with simple shapes or simple composite shapes

  VCMMG229 | Mathematics | Level 6 | Measurement and Geometry | Location and transformation

• VCMMG201

  Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original

  Elaborations

  • using digital technologies to enlarge shapes
  • using a grid system to enlarge a favourite image or cartoon

  VCMMG201 | Mathematics | Level 5 | Measurement and Geometry | Location and transformation

• VCMMG200

  Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries

  Elaborations

  • identifying and describing the line and rotational symmetry of a range of two-dimensional shapes, by manually cutting, folding and turning shapes and by using digital technologies
  • identifying the effects of transformations by manually flipping, sliding and turning two-dimensional shapes and by using digital technologies

  VCMMG200 | Mathematics | Level 5 | Measurement and Geometry | Location and transformation

• VCMMG115

  Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units

  Elaborations

  • comparing lengths using finger length, hand span or a piece of string
  • comparing areas using the palm of the hand or a stone
  • comparing capacities using a range of containers

  VCMMG115 | Mathematics | Level 2 | Measurement and Geometry | Using units of measurement

• VCMMG081

  Sort, describe and name familiar two-dimensional shapes and three-dimensional objects in the environment

  Elaborations

  • sorting and describing squares, circles, triangles, rectangles, spheres and cubes

  VCMMG081 | Mathematics | Foundation Level | Measurement and Geometry | Shape

• VCMNA139

  Use a function machine and the inverse machine as a model to apply mathematical rules to numbers or shapes

  Elaborations

  • finding and describing simple rules in words to solve problems
  • using simple function machines to represent and apply a process or the inverse process, such as increase or decrease the value of a number by a specified amount

  VCMNA139 | Mathematics | Level 3 | Number and Algebra | Patterns and algebra