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• 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

• VCMNA159

  Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation

  Elaborations

  • using division by 10 to extend the place-value system
  • using knowledge of fractions to establish equivalences between fractions and decimal notation

  VCMNA159 | Mathematics | Level 4 | Number and Algebra | Fractions and decimals

• VCMNA153

  Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems

  Elaborations

  • recognising and demonstrating that the place-value pattern is built on the operations of multiplication or division of tens

  VCMNA153 | Mathematics | Level 4 | Number and Algebra | Number and place value

• VCMNA151

  Investigate and use the properties of odd and even numbers

  Elaborations

  • using the four operations with pairs of odd or even numbers or one odd and one even number, then using the relationships established to check the accuracy of calculations

  VCMNA151 | Mathematics | Level 4 | Number and Algebra | Number and place value

• VCMNA157

  Investigate equivalent fractions used in contexts

  Elaborations

  • exploring the relationship between families of fractions (halves, quarters and eighths or thirds and sixths) by folding a series of paper strips to construct a fraction wall

  VCMNA157 | Mathematics | Level 4 | Number and Algebra | Fractions and decimals

• VCMNA111

  Count and order small collections of Australian coins and notes according to their value

  Elaborations

  • identifying equivalent values in collections of coins or notes, such as two five-cent coins having the same value as one 10-cent coin
  • counting collections of coins or notes to make up a particular value, such as that shown on a price tag

  VCMNA111 | Mathematics | Level 2 | Number and Algebra | Money and financial mathematics

• VCMNA137

  Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents

  Elaborations

  • recognising the relationship between dollars and cents, and that not all countries use these denominations and divisions. For example, the Japanese Yen

  VCMNA137 | Mathematics | Level 3 | Number and Algebra | Money and financial mathematics