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• VCMSP353

  Investigate and describe bivariate numerical data, including where the independent variable is time

  Elaborations

  • investigating biodiversity changes in Australia since European occupation
  • constructing and interpreting data displays representing bivariate data over time
  • constructing scatter-plots for two numerical variables and investigate trends such as water storage levels over time or weight and height distributions

  VCMSP353 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMNA277

  Solve a range of problems involving rates and ratios, including distance-time problems for travel at a constant speed, with and without digital technologies

  Elaborations

  • understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem
  • calculating population growth rates in Australia and Asia and explaining their difference
  • finding one of distance travelled, time taken or average speed given the other two quantities

  VCMNA277 | Mathematics | Level 8 | Number and Algebra | Real numbers

• VCMMG290

  Solve problems involving duration, including using 12- and 24-hour time within a single time zone

  Elaborations

  • identifying regions in Australia and countries in Asia that are in the same time zone

  VCMMG290 | Mathematics | Level 8 | Measurement and Geometry | Using units of measurement

• VCMNA073

  Represent practical situations to model addition and subtraction

  Elaborations

  • using a range of practical strategies for adding and subtracting small groups of numbers, such as visual displays or concrete materials
  • using Aboriginal and Torres Strait Islander methods of adding and subtracting, including spatial patterns and reasoning

  VCMNA073 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• 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

• VCMNA136

  Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole

  Elaborations

  • partitioning areas, lengths and collections to create halves, thirds, quarters and fifths, such as folding the same sized sheets of paper to illustrate different unit fractions and comparing the number of parts with their sizes
  • locating unit fractions on a number line
  • recognising that in English the term ‘one third’ is used (order: numerator, denominator) but in other languages, such as Japanese for example, this concept may be expressed as ‘three parts, one of them’ (order: denominator, numerator)

  VCMNA136 | Mathematics | Level 3 | Number and Algebra | Fractions and decimals

• VCMNA342

  Solve equations using systematic guess-check-and-refine with digital technology

  Elaborations

  • refining intervals on graphs and/or in tables of values to determine with increasing accuracy when the values of two functions are approximately equal

  VCMNA342 | Mathematics | Level 10 | Number and Algebra | Linear and non-linear relationships

• 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

• VCMNA275

  Investigate the concept of irrational numbers, including π

  Elaborations

  • understanding that the real number system includes irrational numbers

  VCMNA275 | Mathematics | Level 8 | Number and Algebra | Real numbers

• VCMNA364

  Solve simultaneous equations using systematic guess-check-and-refine with digital technology

  Elaborations

  • using graphs to determine a convergent set of intervals which contain a point of intersection of the graphs of two functions
  • using cobweb diagram to solve simultaneous equations numerically

  VCMNA364 | Mathematics | Level 10A | Number and Algebra | Linear and non-linear relationships

• VCMNA074

  Represent practical situations to model sharing

  Elaborations

  • using a range of practical strategies for sharing small groups of numbers, such as visual displays or concrete materials
  • using verbal action stories to model situations that involve sharing

  VCMNA074 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• VCMNA090

  Represent practical situations that model sharing

  Elaborations

  • sharing a set of objects, such as a packet of sweets, equally between a small group of people using one-to-one correspondence
  • recognising whether there is a remainder or not after sharing equally

  VCMNA090 | Mathematics | Level 1 | Number and Algebra | Number and place value

• VCMMG167

  Convert between units of time

  Elaborations

  • identifying and using the correct operation for converting units of time

  VCMMG167 | Mathematics | Level 4 | Measurement and Geometry | Using units of measurement

• VCMMG096

  Tell time to the half-hour

  Elaborations

  • reading time on analogue and digital clocks and observing the characteristics of half-hour times

  VCMMG096 | Mathematics | Level 1 | Measurement and Geometry | Using units of measurement

• VCMMG141

  Tell time to the minute and investigate the relationship between units of time

  Elaborations

  • recognising there are 60 minutes in an hour and 60 seconds in a minute

  VCMMG141 | Mathematics | Level 3 | 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

• VCMNA306

  Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate

  Elaborations

  • understanding that the distributive law can be applied to algebraic expressions as well as numbers
  • understanding the relationship between expansion and factorisation and identifying algebraic factors in algebraic expressions

  VCMNA306 | Mathematics | Level 9 | Number and Algebra | Patterns and algebra

• VCMNA104

  Recognise, model, represent and order numbers to at least 1000

  Elaborations

  • recognising there are different ways of representing numbers and identifying patterns going beyond 100
  • developing fluency with writing numbers in meaningful contexts

  VCMNA104 | Mathematics | Level 2 | Number and Algebra | Number and place value

• VCMNA361

  Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation

  Elaborations

  • investigating the features of graphs of polynomials including axes intercepts and the effect of repeated factors

  VCMNA361 | Mathematics | Level 10A | Number and Algebra | Linear and non-linear relationships

• 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