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• VCMMG222

  Connect decimal representations to the metric system

  Elaborations

  • recognising the equivalence of measurements such as 1.25 metres and 125 centimetres

  VCMMG222 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMMG226

  Interpret and use timetables

  Elaborations

  • planning a trip involving one or more modes of public transport
  • developing a timetable of daily activities

  VCMMG226 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMMG230

  Introduce the Cartesian coordinate system using all four quadrants

  Elaborations

  • understanding that the Cartesian plane provides a graphical or visual way of describing location

  VCMMG230 | Mathematics | Level 6 | Measurement and Geometry | Location and transformation

• VCMMG228

  Construct simple prisms and pyramids

  Elaborations

  • considering the history and significance of pyramids from a range of cultural perspectives including those structures found in China, Korea and Indonesia
  • constructing prisms and pyramids from nets, and skeletal models

  VCMMG228 | Mathematics | Level 6 | Measurement and Geometry | Shape

• 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

• VCMMG225

  Connect volume and capacity and their units of measurement

  Elaborations

  • recognising that 1ml is equivalent to 1cm³

  VCMMG225 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMMG223

  Convert between common metric units of length, mass and capacity

  Elaborations

  • identifying and using the correct operations when converting units including millimetres, centimetres, metres, kilometres, milligrams, grams, kilograms, tonnes, millilitres, litres, kilolitres and megalitres
  • recognising the significance of the prefixes in units of measurement

  VCMMG223 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMMG231

  Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles

  Elaborations

  • identifying the size of a right angle as 90° and defining acute, obtuse, straight and reflex angles
  • measuring, estimating and comparing angles in degrees and classifying angles according to their sizes
  • investigating the use of rotation and symmetry in the diagrammatic representations of kinship relationships of Central and Western Desert people
  • recognising and using the two alternate conventions for naming angles

  VCMMG231 | Mathematics | Level 6 | Measurement and Geometry | Geometric reasoning

• VCMMG224

  Solve problems involving the comparison of lengths and areas using appropriate units

  Elaborations

  • recognising and investigating familiar objects using concrete materials and digital technologies

  VCMMG224 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMMG227

  Measure, calculate and compare elapsed time

  Elaborations

  • recognising that some units of time are better suited for some tasks than others, for example, seconds rather than minutes to measure the duration of a short event
  • using a stopwatch to measure and compare the duration of a series of events, for example, how long does it take to jump a skipping rope 100 times
  • using the starting and finishing times to calculate and compare elapsed time, for example, the time taken to walk to school compared to the time taken to ride to school

  VCMMG227 | Mathematics | Level 6 | Measurement and Geometry | Using units of measurement

• VCMNA212

  Solve problems involving addition and subtraction of fractions with the same or related denominators

  Elaborations

  • understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions
  • solving realistic additive (addition and subtraction) problems involving fractions to develop understanding of equivalent fractions and the use of fractions as operators
  • modelling and solving additive problems involving fractions by using methods such as jumps on a number line, or by making diagrams of fractions as parts of shapes

  VCMNA212 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA213

  Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies

  Elaborations

  • recognising that finding one third of a quantity is the same as dividing by 3

  VCMNA213 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA209

  Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers and make estimates for these computations

  Elaborations

  • applying strategies already developed for solving problems involving small numbers to those involving large numbers
  • applying a range of strategies to solve realistic problems and commenting on the efficiency of different strategies
  • forming simple single digit estimates with consideration of order of magnitude of the result

  VCMNA209 | Mathematics | Level 6 | Number and Algebra | Number and place value

• VCMNA216

  Multiply and divide decimals by powers of 10

  Elaborations

  • multiplying and dividing decimals by multiples of powers of 10

  VCMNA216 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA210

  Investigate everyday situations that use integers. Locate and represent these numbers on a number line

  Elaborations

  • recognising that integers form an ordered infinite set {…-3, -2, -1, 0, 1, 2, 3…} with no first element or last element
  • solving everyday additive problems using a number line
  • investigating everyday situations that use integers, such as temperatures
  • using number lines to position and order integers around zero

  VCMNA210 | Mathematics | Level 6 | Number and Algebra | Number and place value

• VCMNA208

  Identify and describe properties of prime, composite, square and triangular numbers

  Elaborations

  • understanding that some numbers have special properties and that these properties can be used to solve problems
  • representing composite numbers as a product of their prime factors and using this form to simplify calculations by cancelling common primes
  • understanding that if a number is divisible by a composite number then it is also divisible by the prime factors of that number.

  VCMNA208 | Mathematics | Level 6 | Number and Algebra | Number and place value

• VCMNA211

  Compare fractions with related denominators and locate and represent them on a number line

  Elaborations

  • demonstrating equivalence between fractions using drawings and models

  VCMNA211 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA215

  Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies

  Elaborations

  • interpreting the results of calculations to provide an answer appropriate to the context

  VCMNA215 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA217

  Make connections between equivalent fractions, decimals and percentages

  Elaborations

  • connecting fractions, decimals and percentages as different representations of the same number, moving fluently between representations and choosing the appropriate one for the problem being solved

  VCMNA217 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA218

  Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies

  Elaborations

  • using authentic information to calculate prices on sale goods

  VCMNA218 | Mathematics | Level 6 | Number and Algebra | Money and financial mathematics