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• VCMNA025

  Participate in the comparison of objects, using language such as ‘same’ and ‘different’

  Elaborations

  • recognising patterns through the concept of ‘same’ and ‘different’ objects within the context of everyday situations
  • repeating rhythm patterns (with movement or sound)
  • making simple patterns by stacking and lining up objects
  • sorting everyday familiar objects during shared experiences, for example, when cooking, playing sport or playing with toys such as blocks

  VCMNA025 | Mathematics | Level B | Number and Algebra | Patterns and algebra

• VCMNA036

  Know and match number name, numerals and quantities to three

  Elaborations

  • developing one-to-one matching of number word or its representation through sign or alternative and augmentative communication (AAC) to objects initially up to three
  • recognising that numerals look different from non-numeral shapes
  • using structured situations to count and match groups of objects to a numeral, initially up to 3

  VCMNA036 | Mathematics | Level C | Number and Algebra | Number and place value

• VCMNA001

  Respond to objects being counted and distributed

  Elaborations

  • experiencing number names and number sequence in everyday experiences, for example birthdays, distributing equipment, collecting materials
  • experiencing number and its use in stories, songs and rhythm, chosen for their interest and relevance to the student’s age
  • attending to number and counting in daily routines, for example cups of flour in the bowl, number of times an action or event is repeated or experienced
  • reacting to everyday situations where objects are counted, for example number of items on a plate or tray, steps to the door, eggs in the carton, bounces of a ball
  • being supported as they touch, feel or move over objects as they are being counted

  VCMNA001 | Mathematics | Level A | Number and Algebra | Number and place value

• VCMNA069

  Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from  any starting point

  Elaborations

  • reading stories from other cultures featuring counting in sequence to assist students to recognise ways of counting in local languages and across cultures
  • identifying the number words in sequence, backwards and forwards, and reasoning with the number sequences, establishing the language on which subsequent counting experiences can be built
  • developing fluency with forwards and backwards counting in meaningful contexts, including stories and rhymes
  • understanding that numbers are said in a particular order and there are patterns in the way we say them

  VCMNA069 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• VCMNA109

  Recognise and represent division as grouping into equal sets and solve simple problems using these representations

  Elaborations

  • dividing the class or a collection of objects into equal-sized groups
  • identifying the difference between dividing a set of objects into three equal groups (partition) and dividing the same set of objects into groups of three (quotition)

  VCMNA109 | Mathematics | Level 2 | Number and Algebra | Number and place value

• VCMNA105

  Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting

  Elaborations

  • using an abacus to model and represent numbers
  • understanding three-digit numbers as comprised of hundreds, tens and ones/units
  • demonstrating and using models such as linking blocks, sticks in bundles, place-value blocks and Aboriginal bead strings and explaining reasoning

  VCMNA105 | Mathematics | Level 2 | Number and Algebra | Number and place value

• VCMNA071

  Subitise small collections of objects

  Elaborations

  • using subitising as the basis for ordering and comparing collections of numbers

  VCMNA071 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• VCMNA103

  Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences

  Elaborations

  • developing fluency and confidence with numbers and calculations by saying number sequences
  • recognising that the natural numbers with zero form an ordered infinite set {0, 1, 2, 3 … } with a first element but no last element
  • recognising patterns in number sequences, such as adding 10 always results in the same final digit

  VCMNA103 | Mathematics | Level 2 | Number and Algebra | Number and place value

• VCMNA107

  Solve simple addition and subtraction problems using a range of efficient mental and written strategies

  Elaborations

  • becoming fluent with a range of mental strategies for addition and subtraction problems, such as commutativity for addition, building to 10, doubles, 10 facts and adding 10
  • modelling and representing simple additive situations using materials such as 10 frames, 20 frames and empty number lines

  VCMNA107 | Mathematics | Level 2 | Number and Algebra | Number and place value

• VCMNA070

  Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond

  Elaborations

  • 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 ‘how many’ question
  • using scenarios to help students recognise that other cultures count in a variety of ways, such as by placing one pebble in a bag to represent one object. For example to count the number of cattle

  VCMNA070 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• 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

• VCMNA106

  Explore the connection between addition and subtraction

  Elaborations

  • becoming fluent with partitioning numbers to understand the connection between addition and subtraction
  • using counting on to identify the missing element in an additive problem

  VCMNA106 | Mathematics | Level 2 | Number and Algebra | Number and place value

• VCMNA072

  Compare, order and make correspondences between collections, initially to 20, and explain reasoning

  Elaborations

  • comparing and ordering items of like and unlike characteristics using the words ‘more’, ‘less’, ‘same as’ and ‘not the same as’ and giving reasons for these answers
  • understanding and using terms such as ‘first’ and ‘second’ to indicate ordinal position in a sequence.
  • using objects which are personally and culturally relevant to students

  VCMNA072 | Mathematics | Foundation Level | Number and Algebra | Number and place value

• VCMNA108

  Recognise and represent multiplication as repeated addition, groups and arrays

  Elaborations

  • representing array problems with available materials and explaining reasoning
  • visualising a group of objects as a unit and using this to calculate the number of objects in several identical groups

  VCMNA108 | Mathematics | Level 2 | Number and Algebra | Number and place value

• VCMNA091

  Recognise and describe one-half as one of two equal parts of a whole

  Elaborations

  • sharing a collection of readily available materials into two equal portions
  • splitting an object into two equal pieces and describing how the pieces are equal

  VCMNA091 | Mathematics | Level 1 | Number and Algebra | Fractions and decimals

• 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

• VCMNA152

  Recognise, represent and order numbers to at least tens of thousands

  Elaborations

  • reproducing five-digit numbers in words using their numerical representations, and vice versa

  VCMNA152 | Mathematics | Level 4 | Number and Algebra | Number and place value

• VCMNA092

  Recognise, describe and order Australian coins according to their value

  Elaborations

  • showing that coins are different in other countries by comparing Asian coins to Australian coins
  • understanding that the value of Australian coins is not related to size
  • describing the features of coins that make it possible to identify them

  VCMNA092 | Mathematics | Level 1 | Number and Algebra | Money and financial mathematics

• VCMNA154

  Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9

  Elaborations

  • recognising that number sequences can be extended indefinitely, and determining any patterns in the sequences

  VCMNA154 | Mathematics | Level 4 | Number and Algebra | Number and place value

• VCMNA158

  Count by quarters, halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line

  Elaborations

  • converting mixed numbers to improper fractions and vice versa
  • investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations

  VCMNA158 | Mathematics | Level 4 | Number and Algebra | Fractions and decimals