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• VC2M7ST02

  create different types of displays of numerical data, including dot plots and stem-and-leaf plots, using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode

  Elaborations

  • using ordered stem-and-leaf plots to record and display numerical data collected in a class investigation, such as constructing a class plot of height in centimetres on a shared stem-and-leaf plot for which the stems 12, 13, 14, 15, 16 and 17 have been produced
  • comparing variation in attributes by category using split stem-and-leaf plots or dot plots; interpreting the shape of the distribution using qualitative terms to describe ‘symmetry’, ‘skewness’ and ‘average’ in terms of the mean, median and mode, and the amount of variation based on qualitative descriptions of the spread of the data
  • connecting features of the data display (for example, highest frequency, clusters, gaps, symmetry or skewness) to the mode, range and median, and the question in context; describing the shape of distributions using terms such as ‘positive skew’, ‘negative skew’, ‘symmetric’ and ‘bi-modal’ and discussing the location of the median and mean on these distributions
  • using mean and median to compare data sets, identifying possible outliers and explaining how these may affect the comparison; recognising how different displays make specific information about data more evident, including proportions, and measures of mean, mode or median, spread and extreme values; understanding that the median and the mean will be the same or similar for symmetric distributions but different for distributions that are skewed
  • comparing the mean and median of data with and without extremes; for example, estimation of standard measures for length or mass, informally considering for a given set of data what might constitute an unexpected, unusual or extreme data value

  VC2M7ST02 | Mathematics | Mathematics Version 2.0 | Level 7 | Statistics

• VCMNA043

  Identify repeated routines and sequences in everyday events

  Elaborations

  • follow and assist to represent a sequence of steps
  • follow a simple decision (algorithm) to solve a everyday problem
  • participate in a cause and effects activities, games and events

  VCMNA043 | Mathematics | Level C | Number and Algebra | Patterns and algebra

• VC2MFN02

  recognise and name the number of objects within a collection up to 5 using subitising

  Elaborations

  • recognising how many objects are in a collection or in images on a card with a quick look and saying the associated number without counting
  • playing instructive card games that rely on the recognition of numbers represented in different ways (for example, playing memory games, or matching pairs of quantities on dot cards or similar where the arrangement on each is different) or using subitising to compare and order collections and to say who has more when sharing items in a game

  VC2MFN02 | Mathematics | Mathematics Version 2.0 | Foundation Level | Number

• Mathematics Version 2.0: Level 4 achievement standards

  By the end of Level 4, students use their understanding of place value to represent tenths and hundredths in decimal form and to multiply natural numbers by multiples of 10. Students use mathematical modelling to solve financial and other practical problems, formulating the problem using...

  Level description | Mathematics | Mathematics Version 2.0 | Level 4

• VCMNA060

  Follow a sequence of steps

  Elaborations

  • using sequence steps to complete an activity
  • representing a sequence of steps using visuals
  • identify options and following steps through everyday situations and events
  • participate in a variety of chance games and experiences

  VCMNA060 | Mathematics | Level D | Number and Algebra | Patterns and algebra

• Mathematics Version 2.0: Foundation Level achievement standards

  By the end of Foundation, students make connections between number names, numerals and position in the sequence of numbers from zero to at least 20. They use subitising and counting strategies to quantify collections. Students compare the size of collections to at least 20. They partition...

  Level description | Mathematics | Mathematics Version 2.0 | Foundation Level

• Mathematics Version 2.0: Level 1 achievement standards

  By the end of Level 1, students connect number names, numerals and quantities, and order numbers to at least 120. They demonstrate how one- and two-digit numbers can be partitioned in different ways and that two-digit numbers can be partitioned into tens and ones. Students partition collections...

  Level description | Mathematics | Mathematics Version 2.0 | Level 1

• VCMMG174

  Compare angles and classify them as equal to, greater than or less than a right angle

  Elaborations

  • creating angles and comparing them to a right angle using digital technologies

  VCMMG174 | Mathematics | Level 4 | Measurement and Geometry | Geometric reasoning

• VCMMG170

  Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies

  Elaborations

  • identifying common two-dimensional shapes that are part of a composite shape by re-creating it from these shapes
  • creating two-dimensional shapes from verbal or written instructions

  VCMMG170 | Mathematics | Level 4 | Measurement and Geometry | Shape

• 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

• VCMNA053

  Recognise number name, numerals and quantities, initially up to five and beyond

  Elaborations

  • responding to key vocabulary and questions about ‘how many’
  • using one-to-one matching of number words, sign or augmentative and alternative communication (AAC) representation for objects to five
  • matching numerals to the correct number of items initially to five using number games, software, cards and everyday situations

  VCMNA053 | Mathematics | Level D | Number and Algebra | Number and place value

• VC2M7P01

  identify the sample space for single-stage experiments; assign probabilities to the possible outcomes and predict relative frequencies for related experiments.

  Elaborations

  • discussing the meaning of probability terminology, for example, ‘probability’, ‘sample space’, ‘favourable outcome’, ‘trial’, ‘experiment’ and ‘event’
  • listing sample spaces for games involving throwing a coin or a dice, spinners, or lucky dip
  • assigning the probability for throwing a 6 on a dice and using this to predict the number of times a 6 will occur when a dice is thrown multiple times

  VC2M7P01 | Mathematics | Mathematics Version 2.0 | Level 7 | Probability

• Mathematics: Foundation Level description

  In Foundation level, students play with objects and draw pictures to develop links between their immediate environment, everyday language and mathematical activity.

  Students classify and sort objects into sets and form simple correspondences between them. They decide when two sets are of equal...

  Level description | Mathematics

• Mathematics Version 2.0: Level 6 achievement standards

  By the end of Level 6, students use integers to represent points on a number line and on the Cartesian plane. They solve problems using the properties of prime, composite, square and triangular numbers. Students order common fractions, giving reasons, and add and subtract fractions with...

  Level description | Mathematics | Mathematics Version 2.0 | Level 6

• Mathematics Version 2.0: Level 3 achievement standards

  By the end of Level 3, students order and represent natural numbers beyond 10 000, classify numbers as either odd or even, and use the properties of odd and even numbers. They partition, rearrange and regroup two- and three-digit numbers in different ways to assist in calculations. Students...

  Level description | Mathematics | Mathematics Version 2.0 | Level 3

• VC2M5N03

  compare and order common unit fractions with the same and related denominators, including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line

  Elaborations

  • using pattern blocks to represent equivalent fractions; selecting one block or a combination of blocks to represent one whole, and making a design with shapes; and recording the fractions to justify the total
  • creating a fraction wall from paper tape to model and compare a range of different fractions with related denominators, and using the model to play fraction wall games
  • connecting a fraction wall model and a number line model of fractions to say how they are the same and how they are different; for example, explaining $\frac{1}{4}$ on a fraction wall represents the area of one-quarter of the whole, while on the number line $\frac{1}{4}$ is identified as a point that is one-quarter of the distance between zero and one
  • using an understanding of factors and multiples as well as equivalence to recognise efficient methods for the location of fractions with related denominators on parallel number lines; for example, explaining on parallel number lines that $\frac{2}{10}$ is located at the same position on a parallel number line as $\frac{1}{5}\mathrm{ }$because $\frac{1}{5}\mathrm{ }$is equivalent to $\frac{2}{10}$
  • converting between mixed numerals and improper fractions to assist with locating them on a number line

  VC2M5N03 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• VC2M7SP04

  design algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work

  Elaborations

  • creating a classification scheme for triangles based on sides and angles, using a flow chart that uses sequences and decisions
  • creating a flow chart or hierarchy for quadrilaterals that shows the relationships between trapeziums, parallelograms, rhombuses, rectangles, squares and kites
  • creating a classification scheme for regular, irregular, concave or convex polygons that are sorted according to the number of sides

  VC2M7SP04 | Mathematics | Mathematics Version 2.0 | Level 7 | Space

• VCMMG261

  Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries

  Elaborations

  • describing patterns and investigating different ways to produce the same transformation such as using two successive reflections to provide the same result as a translation
  • creating and re-creating patterns using combinations of reflections and rotations, using digital technologies

  VCMMG261 | Mathematics | Level 7 | Measurement and Geometry | Location and transformation

• VC2M2N06

  use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the context

  Elaborations

  • modelling practical problems by interpreting an everyday additive or multiplicative situation; for example, making a number of purchases at a store and deciding whether to use addition, subtraction, multiplication or division to solve the problem and justifying the choice of operation, such as ‘I used subtraction to solve this problem as I knew the total and one of the parts, so I needed to subtract to find the missing part’
  • modelling and solving simple money problems involving whole dollar amounts with addition, subtraction, multiplication or division, for example, ‘If each member of our class contributes $5, how much money will we have in total?’
  • modelling and solving practical problems such as deciding how many people should be in each team for a game or sports event, how many teams for a given game can be filled from a class, or how to share out some food or distribute money in whole dollar amounts, including deciding what to do if there is a remainder
  • modelling and solving the problem ‘How many days are there left in this year?’ by using a calendar
  • modelling problems involving equal grouping and sharing in Aboriginal and/or Torres Strait Islander children’s instructive games; for example, in Yangamini from the Tiwi Peoples of Bathurst Island, representing relationships with a number sentence and interpreting and communicating solutions in terms of the context

  VC2M2N06 | Mathematics | Mathematics Version 2.0 | Level 2 | Number

• Mathematics | Mathematics Version 2.0: Structure

  Mathematics is presented in 11 levels, from Foundation to Level 10.

  Level 10 also includes Level 10A, which provides opportunities for students to extend their exploration of mathematical notions and further their mathematical studies.

  Strands

  The curriculum is organised into 6 interrelated...

  Overview material | Mathematics Version 2.0