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• Mathematics | Mathematics: Rationale and Aims

  The VCAA has published the Victorian Curriculum F–10 Version 2.0. To view the curriculum, familiarisation resources and support material, go to the Victorian Curriculum F–10 Version 2.0 website.
  
  Go to the VCAA website to explore the timeline for familiarisation and implementation of...

  Overview material | Mathematics

• 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

• Mathematics: Level 2 description

  In Level 2, students use grouping partitioning and re-arrangement to apply place value and extend the range of numbers they use and apply to thousands.

  Students recognise, model and order numbers to at least 1000 and use a variety of strategies to count efficiently, including skip counting forwards...

  Level description | Mathematics

• 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

• Mathematics: Level 8 description

  In Level 8, students consolidate their proficiency with the four arithmetic operations, and combinations of these, for general computation involving natural numbers, integers and rational numbers, with and without the use of technology. They represent these numbers on the real number line. They...

  Level description | Mathematics

• 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

• Mathematics: Level 8 achievement standards

  Number and Algebra

  Students use efficient mental and written strategies to make estimates and carry out the four operations with integers, and apply the index laws to whole numbers. They identify and describe rational and irrational numbers in context. Students estimate answers and solve everyday...

  Level description | Mathematics | Level 8

• Mathematics: Level 4 description

  In Level 4, students extend the number system to simple decimal fractions, and broaden their use of measures and scales.

  Students model, represent and order numbers to tens of thousands, and extend place value to tenths and hundredths. They investigate odd and even numbers and explore number patterns...

  Level description | Mathematics

• 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

• Mathematics: Level 10 description

  In Level 10, students extend their use of mathematical models to a wide range of familiar and unfamiliar contexts, involving the use of all types of real numbers. They recognise the role of logical argument and proof in establishing mathematical propositions. Students apply mental, written or...

  Level description | Mathematics

• 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