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• 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

• VCMNA214

  Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers

  Elaborations

  • extending whole-number strategies to explore and develop meaningful written strategies for addition and subtraction of decimal numbers to thousandths
  • exploring and practising efficient methods for solving problems requiring operations on decimals, to gain fluency with calculating with decimals and with recognising appropriate operations

  VCMNA214 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA219

  Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence

  Elaborations

  • identifying and generalising number patterns
  • investigating additive and multiplicative patterns such as the number of tiles in a geometric pattern, or the number of dots or other shapes in successive repeats of a strip or border pattern looking for patterns in the way the numbers increase/decrease

  VCMNA219 | Mathematics | Level 6 | Number and Algebra | Patterns and algebra

• VCMNA220

  Explore the use of brackets and order of operations to write number sentences

  Elaborations

  • appreciating the need for rules to complete multiple operations within the same number sentence

  VCMNA220 | Mathematics | Level 6 | Number and Algebra | Patterns and algebra

• VCMNA221

  Design algorithms involving branching and iteration to solve specific classes of mathematical problems

  Elaborations

  • implementing algorithms such as the Euclidean division algorithm
  • devising flowcharts to represent algorithms for a common processes such as adding two fractions

  VCMNA221 | Mathematics | Level 6 | Number and Algebra | Patterns and algebra

• VCMSP234

  Compare observed frequencies across experiments with expected frequencies

  Elaborations

  • predicting likely outcomes from a run of chance events and distinguishing these from surprising results

  VCMSP234 | Mathematics | Level 6 | Statistics and Probability | Chance

• VCMSP232

  Describe probabilities using fractions, decimals and percentages

  Elaborations

  • investigating games of chance popular in different cultures

  VCMSP232 | Mathematics | Level 6 | Statistics and Probability | Chance

• VCMSP235

  Construct, interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables

  Elaborations

  • comparing different student-generated diagrams, tables and graphs, describing their similarities and differences and commenting on the usefulness of each representation for interpreting the data
  • understanding that data can be represented in different ways, sometimes with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgments

  VCMSP235 | Mathematics | Level 6 | Statistics and Probability | Data representation and interpretation

• VCMSP236

  Interpret secondary data presented in digital media and elsewhere

  Elaborations

  • investigating data representations in the media and discussing what they illustrate and the messages the people who created them might want to convey
  • identifying potentially misleading data representations in the media, such as graphs with broken axes or non-linear scales, graphics not drawn to scale, data not related to the population about which the claims are made, and pie charts in which the whole pie does not represent the entire population about which the claims are made

  VCMSP236 | Mathematics | Level 6 | Statistics and Probability | Data representation and interpretation

• VCMSP233

  Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies

  Elaborations

  • conducting repeated trials of chance experiments, identifying the variation between trials and realising that the results tend to the prediction with larger numbers of trials

  VCMSP233 | Mathematics | Level 6 | Statistics and Probability | Chance

• VCMSP237

  Pose and refine questions to collect categorical or numerical data by observation or survey

  Elaborations

  • narrowing or broadening a question to be posed for an observation or survey, for example, ‘which of these ice cream flavours – vanilla or chocolate?’ to ‘do you like ice cream, if yes what is your favourite flavour?’

  VCMSP237 | Mathematics | Level 6 | Statistics and Probability | Data representation and interpretation