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• Mathematics: Level 3 description

  In Level 3, students increasingly use mathematical terms and symbols to describe computations, measurements and characteristics of objects.

  Students recognise, model and order numbers to at least 10 000 and place four digit numbers on a number line with regard for scale. They partition and re-arrange...

  Level description | Mathematics

• 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

• Mathematics Version 2.0: Foundation Level description

  In Foundation, learning in Mathematics builds on each student’s prior learning and experiences, including the learning opportunities acquired through the implementation of the Victorian Early Years Learning and Development Framework (VEYLDF). Students engage in a range of approaches to the...

  Level description | Mathematics | Mathematics Version 2.0

• Mathematics Version 2.0: Level 5 description

  In Level 5, learning in Mathematics builds on each student’s prior learning and experiences. Students engage in a range of approaches to the learning and doing of mathematics that develop their understanding of and fluency with concepts, procedures and processes by making connections...

  Level description | Mathematics | Mathematics Version 2.0

• VC2M5N05

  solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies

  Elaborations

  • using different ways to add and subtract fractional amounts by subdividing different models of measurement attributes; for example, adding half an hour and three-quarters of an hour using a clock face, adding a 34 cup of flour and a 14 cup of flour, subtracting 34 of a metre from 2 14 metres
  • representing and solving addition and subtraction problems involving fractions by using jumps on a number line, or bar models, or making diagrams of fractions as parts of shapes
  • using materials, diagrams, number lines or arrays to show and explain that fraction number sentences can be rewritten in equivalent forms without changing the quantity, for example, 12+14 is the same as 24+14 

  VC2M5N05 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• VCMMG318

  Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles

  Elaborations

  • understanding that Pythagoras' Theorem is a useful tool in determining unknown lengths in right-angled triangles and has widespread applications
  • recognising that right-angled triangle calculations may generate results that can be integers, fractions or irrational numbers

  VCMMG318 | Mathematics | Level 9 | Measurement and Geometry | Pythagoras and trigonometry

• VCMSP180

  Evaluate the effectiveness of different displays in illustrating data features including variability

  Elaborations

  • interpreting data representations in the media and other forums in which symbols represent more than one data value
  • suggesting questions that can be answered by a given data display and using the display to answer questions

  VCMSP180 | Mathematics | Level 4 | Statistics and Probability | Data representation and interpretation

• VCMSP297

  Distinguish between a population and a sample and investigate techniques for collecting data, including census, sampling and observation

  Elaborations

  • identifying situations where data can be collected by census and those where a sample is appropriate
  • investigating the differences between convenience, judgemental and simple random sampling from a population

  VCMSP297 | Mathematics | Level 8 | Statistics and Probability | Data representation and interpretation

• Mathematics Version 2.0: Level 3 description

  In Level 3, learning in Mathematics builds on each student’s prior learning and experiences. Students engage in a range of approaches to the learning and doing of mathematics that develop their understanding of and fluency with concepts, procedures and processes by making connections...

  Level description | Mathematics | Mathematics Version 2.0

• VC2M4ST02

  analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data

  Elaborations

  • suggesting questions that can be answered by a given data display and using the display to answer these questions
  • interpreting data representations in the media and other forums where symbols represent one-to-many relationships and how this can be challenging when the representations use part-whole representations
  • 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

  VC2M4ST02 | Mathematics | Mathematics Version 2.0 | Level 4 | Statistics

• Mathematics Version 2.0: Level 7 achievement standards

  By the end of Level 7, students represent natural numbers in expanded form and as products of prime factors, using exponent notation. They solve problems involving squares of numbers and square roots of perfect square numbers. Students solve problems involving addition and subtraction...

  Level description | Mathematics | Mathematics Version 2.0 | Level 7

• VCMMG195

  Choose appropriate units of measurement for length, area, volume, capacity and mass

  Elaborations

  • investigating alternative measures of scale to demonstrate that these vary between countries and change over time. For example, temperature measurement in Australia, Indonesia, Japan and USA
  • recognising that some units of measurement are better suited for some tasks than others, for example kilometres rather than metres to measure the distance between two towns

  VCMMG195 | Mathematics | Level 5 | Measurement and Geometry | Using units of measurement

• VCMNA039

  Demonstrate in practical situations, ‘adding one more to’ and ‘taking one away from’ in everyday situations

  Elaborations

  • using shared experiences with concrete materials to add one more to or take away one from a group of objects, and count to find a total
    • experiencing addition and subtraction in games
  • communicating using language such as ‘more’ or ‘less’ to describe a change in a group using classroom resources and in practical situations

  VCMNA039 | Mathematics | Level C | Number and Algebra | Number and place value

• 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

• VCMMG014

  Respond to movement of an object

  Elaborations

  • experiencing movement and position within various environments and everyday events, for example exploring the concept of ‘inside and outside’ during structured activities
  • experiencing the language used to name movement and changes in position during everyday experiences, such as up, down, over, under
  • reacting to a variety of body positions and movements within the context of everyday activities
  • using everyday language of location and position to assist students to react to changes to objects and their body, for example, ‘arms up’, ‘I am moving your bag’, ‘Where did it go?’
  • reaching for or looking for a desired object by moving head or body for a better view

  VCMMG014 | Mathematics | Level A | Measurement and Geometry | Location and transformation

• VC2MFN03

  quantify and compare collections to at least 20 using counting and explain or demonstrate reasoning

  Elaborations

  • establishing the language and process of counting, and understanding that each object must be counted only once, that the arrangement of objects does not affect how many there are and that the last number counted answers the question of ‘How many?’; for example, saying numbers in sequence while playing and performing actions
  • using counting to compare the size of 2 or more collections of like items to justify which collection contains more or fewer items
  • using counting and one-to-one correspondence to quantify the number of items required for a purpose; for example, when asked to collect enough scissors for each member of their group to have a pair, counting each member and using the total count to know how many to collect
  • discussing how different cultures may have alternative ways of representing the count; for example, discussing how some people of the Asia region use an abacus or Chinese hand gestures
  • using body-tallying that involves body parts and one-to-one correspondence from counting systems of Aboriginal and/or Torres Strait Islander Peoples to count to 20

  VC2MFN03 | Mathematics | Mathematics Version 2.0 | Foundation Level | Number

• Mathematics Version 2.0: Level 2 description

  In Level 2, learning in Mathematics builds on each student’s prior learning and experiences, including the learning opportunities acquired through the implementation of the Victorian Early Years Learning and Development Framework (VEYLDF). Students engage in a range of approaches...

  Level description | Mathematics | Mathematics Version 2.0

• VC2M5N02

  express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another

  Elaborations

  • using a certain number of blocks to form different rectangles and using these to list all possible factors for that number; for example, 12 blocks can form the following rectangles: 1 × 12, 2 × 6 and 3 × 4
  • researching divisibility tests and explaining each rule using materials; for example, using base-10 blocks to test if numbers are divisible by 2, 5 and 10
  • using divisibility tests to determine if larger numbers are multiples of one-digit numbers; for example, testing if 89 472 is divisible by 3 using 8 + 9 + 4 + 7 + 2 = 30, as 30 is divisible by 3 then 89 472 is a multiple of 3
  • demonstrating and reasoning that all multiples can be formed by combining or regrouping; for example, multiples of 7 can be formed by combining a multiple of 2 with the corresponding multiple of 5: 3 × 7 = 3 × 2 + 3 × 5, and 4 × 7 = 4 × 2 + 4 × 5

  VC2M5N02 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• VC2M9ST04

  choose appropriate forms of display or visualisation for a given type of data; justify selections and interpret displays for a given context

  Elaborations

  • comparing data displays using mean, median and range to describe and interpret numerical data sets in terms of centre and spread using histograms, dot plots or stem-and-leaf plots
  • choosing the type of representations based on the data type: categorical (nominal or ordinal) or numerical (discrete or continuous)
  • using different visualisations of data, including non-standard representations such as infographics, and discussing their purpose and intended audience, and evaluating how well they communicate responses to statistical questions of interest
  • comparing and interpreting stacked bar charts, area charts and line graphs, discussing how they represent larger categories that can be subdivided into smaller categories and how information that can be obtained from these displays can be used for comparison

  VC2M9ST04 | Mathematics | Mathematics Version 2.0 | Level 9 | Statistics

• VCMMG368

  Use the unit circle to define trigonometric functions as functions of a real variable, and graph them with and without the use of digital technologies

  Elaborations

  • establishing the symmetrical properties of trigonometric functions
  • investigating angles of any magnitude
  • understanding that trigonometric functions are periodic and that this can be used to describe motion
  • identifying points on the unit circle via arc lengths in radians, which correspond to specified values of the circular functions sine, cosine and tangent

  VCMMG368 | Mathematics | Level 10A | Measurement and Geometry | Pythagoras and trigonometry