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• VCMNA036

  Know and match number name, numerals and quantities to three

  Elaborations

  • developing one-to-one matching of number word or its representation through sign or alternative and augmentative communication (AAC) to objects initially up to three
  • recognising that numerals look different from non-numeral shapes
  • using structured situations to count and match groups of objects to a numeral, initially up to 3

  VCMNA036 | Mathematics | Level C | Number and Algebra | Number and place value

• 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

• VCMMG121

  Describe the features of three-dimensional objects

  Elaborations

  • identifying geometric features such as the number of faces, corners or edges

  VCMMG121 | Mathematics | Level 2 | 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

• 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

• 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

• 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

• VCMMG048

  Locate familiar three-dimensional objects in the classroom when they are named

  Elaborations

  • interpreting everyday language of location by following simple directions and communication, for example, move or track an object, feel or follow a path
  • locating familiar environments and objects, for example, classroom, hall, desk

  VCMMG048 | Mathematics | Level C | Measurement and Geometry | Location and transformation

• 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

• VCMNA134

  Recall multiplication facts of two, three, five and ten and related division facts

  Elaborations

  • establishing multiplication facts using number sequences
  • using strategies to recall the multiplication and related division facts for the twos, threes, fives and tens

  VCMNA134 | Mathematics | Level 3 | Number and Algebra | Number and place value

• VCMNA018

  Use number names ‘one’, ‘two’ and ‘three’ in sequence to count in everyday situations

  Elaborations

  • assisting to count objects initially to three, by participating in activities, stories, songs and rhymes that involve number. This could include nodding as objects are counted, tapping an object as it is counted, tracking objects being counted, repeating some number names as objects are being counted
  • responding to number of names in everyday situations, for example waiting for counting down or up before starting an action, sound, activity; stepping, clapping, making a sound, tapping a switch for each number
  • exploring and using some number names by ‘repeating’ number name either verbally or through a communication system or augmentative and alternative communication (AAC)

  VCMNA018 | Mathematics | Level B | Number and Algebra | Number and place value

• VC2M4SP01

  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)

  VC2M4SP01 | Mathematics | Mathematics Version 2.0 | Level 4 | Space

• VC2M8SP03

  describe in different ways the position and location of three-dimensional objects in 3 dimensions, including using a three-dimensional Cartesian coordinate system with the use of dynamic geometry software or other digital tools

  Elaborations

  • locating aircraft or drones using latitude, longitude and altitude as a three-dimensional coordinate system
  • constructing three-dimensional objects using 3D printers or designing software that uses a three-dimensional coordinate system
  • comparing and contrasting two-dimensional and three-dimensional coordinate systems by highlighting what is the same and what is different, including virtual maps versus street views
  • using dynamic geometry software to construct shapes and objects within the first quadrant of a three-dimensional coordinate system
  • interpreting three-dimensional coordinate locations for objects in multistorey car parks, or playing games based on three-dimensional coordinate systems such as three-dimensional noughts-and-crosses
  • exploring position and transformation through geospatial technologies used by Aboriginal and/or Torres Strait Islander communities

  VC2M8SP03 | Mathematics | Mathematics Version 2.0 | Level 8 | Space

• VC2M10ASP05

  apply Pythagoras’ theorem and trigonometry to solving three-dimensional problems in right-angled triangles

  Elaborations

  • investigating the applications of Pythagoras’ theorem in authentic problems

  VC2M10ASP05 | Mathematics | Mathematics Version 2.0 | Level 10A | Space

• VC2M2M05

  identify, describe and demonstrate quarter, half, three-quarter and full measures of turn in everyday situations

  Elaborations

  • identifying things that turn in the school environment, for example, the handle on a tap or a door, or the dial or switch on a piece of equipment; and identifying a half turn and a full turn, drawing a diagram and labelling it with arrows to show the direction and amount of turn
  • giving and following instructions to move during an activity; for example, demonstrating and describing half, quarter and full turns in a choreographed dance
  • investigating hands turning on a clock and relating quarter, half and full hours to angles and the language of clockwise or anticlockwise
  • giving or following directions to locate an object in the room or to provide a pathway through a grid, such as programming a robot, referring to quarter, half, three-quarter and full turns

  VC2M2M05 | Mathematics | Mathematics Version 2.0 | Level 2 | Measurement

• VCMMG370

  Apply Pythagoras’ theorem and trigonometry to solving three-dimensional problems in right-angled triangles

  Elaborations

  • investigating the applications of Pythagoras's theorem in authentic problems

  VCMMG370 | Mathematics | Level 10A | Measurement and Geometry | Pythagoras and trigonometry

• 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

• VC2M7SP01

  represent three-dimensional objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations

  Elaborations

  • deconstructing packaging to identify shapes and nets
  • using different nets to construct prisms and determining which nets will make a cube, rectangular prism, triangular prism or pyramid
  • using aerial views of buildings and other three-dimensional structures to visualise the footprint made by the building or structure, identifying prisms that could approximate the structure
  • building objects by interpreting isometric and perspective drawings
  • using isometric and square grid paper to draw views of front, back, side, top and bottom of objects
  • exploring different two-dimensional representations of objects in Aboriginal and/or Torres Strait Islander artworks or cultural maps of Country/Place

  VC2M7SP01 | Mathematics | Mathematics Version 2.0 | Level 7 | Space

• VCMNA251

  Introduce the concept of variables as a way of representing numbers using letters

  Elaborations

  • understanding that arithmetic laws are powerful ways of describing and simplifying calculations and that using these laws leads to the generality of algebra

  VCMNA251 | Mathematics | Level 7 | Number and Algebra | Patterns and algebra

• VC2M3N04

  add and subtract two- and three-digit numbers using place value to partition, rearrange and regroup numbers to assist in calculations without a calculator

  Elaborations

  • using partitioning and part-part-whole models and the inverse relationship between addition and subtraction to solve addition or subtraction problems, making informal written ‘jottings’ to keep track of the numbers if necessary
  • using physical or virtual grouped materials or diagrams to make proportional models of numbers to assist in calculations, for example, to calculate 214 + 325, representing 214 as 2 groups of 100, one group of 10 and 4 ones and 325 as 3 groups of 100, 2 groups of 10 and 5 ones, resulting in 5 groups of 100, 3 groups of 10 and 9 ones, which is 539
  • choosing between standard and non-standard place value partitions to assist with calculations, for example, to solve 485 + 365, thinking of 365 as 350 + 15, then adding the parts, 485 + 15 = 500, 500 + 350 = 850
  • solving subtraction problems efficiently by adding or subtracting a constant amount to both numbers to create an easier calculation; for example, 534 − 395, adding 5 to both numbers to make 539 − 400 = 139
  • justifying choices about partitioning and regrouping numbers in terms of their usefulness for particular calculations when solving problems
  • applying knowledge of place value to assist in calculations when solving problems involving larger numbers; for example, calculating the total crowd numbers for an agricultural show that lasts a week

  VC2M3N04 | Mathematics | Mathematics Version 2.0 | Level 3 | Number