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• 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

• VC2M2A02

  recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts

  Elaborations

  • using ten-frames or materials such as connecting cubes to develop and record addition and subtraction strategies including doubles, near doubles, counting on, combinations to 10 and bridging to 10, explaining patterns and connections noticed within the facts
  • partitioning and rearranging collections to practise and develop fluency with addition and subtraction facts to 20, leading to the recall of these facts; for example, partitioning using materials and part-part-whole diagrams to develop subtraction facts related to addition facts, such as 8 + 7 = 15 therefore 15 − 7 = 8 and 15 − 8 = 7
  • using partitioning to develop and record facts systematically (for example, ‘How many ways can 10 birds be spread among 2 trees?’, 10 = 10 + 0, 10 = 9 + 1, 10 = 8 + 2, 10 = 7 + 3, …), explaining how they know they have found all possible partitions 

  VC2M2A02 | Mathematics | Mathematics Version 2.0 | Level 2 | Algebra

• VCMNA112

  Describe patterns with numbers and identify missing elements

  Elaborations

  • describing a pattern created by skip counting and representing the pattern on a number line
  • investigating features of number patterns resulting from adding twos, fives or 10s

  VCMNA112 | Mathematics | Level 2 | Number and Algebra | Patterns and algebra

• 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

• 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

• VCZHC004

  Locate and present information about familiar objects, people and personal interests using visual and contextual cues

  Elaborations

  • tracing, copying and practising using individual characters, such as the numbers 1–10 ( 一， 二， 三， 四， 五…)
  • cutting and pasting characters from a provided set to make a mini book
  • selecting characters to label pictures and make a greeting card or postcard

  VCZHC004 | Languages | Chinese | Second Language Learner | F–10 Sequence | Foundation to Level 2 | Communicating | Informing

• VC2M2N04

  add and subtract one- and two-digit numbers, represent problems using number sentences and solve using part-part-whole reasoning and a variety of calculation strategies

  Elaborations

  • using the associative property of addition to assist with mental calculation by partitioning, rearranging and regrouping numbers using number knowledge, near doubles and bridging-to-10 strategies; for example, calculating 7 + 8 using 7 + (7 + 1) = (7 + 7) + 1, the associative property and near doubles; or calculating 7 + 8 using the associative property and bridging to 10: 7 + (3 + 5) = (7 + 3) + 5
  • using strategies such as doubles, near doubles, part-part-whole knowledge to 10, bridging tens and partitioning to mentally solve problems involving two-digit numbers; for example, calculating 56 + 37 by thinking 5 tens and 3 tens is 8 tens, 6 + 7 = 6 + 4 + 3 is one 10 and 3, and so the result is 9 tens and 3, or 93
  • representing addition and subtraction problems using a bar model and writing a number sentence, explaining how each number in the sentence is connected to the situation
  • using mental strategies and informal written jottings to help keep track of the numbers when solving addition and subtraction problems involving two-digit numbers and recognising that zero added to a number leaves the number unchanged; for example, in calculating 34 + 20 = 54, 3 tens add 2 tens is 5 tens, which is 50, and 4 ones add zero ones is 4 ones, which is 4, so the result is 50 + 4 = 54
  • using a physical or mental number line or hundreds chart to solve addition or subtraction problems by moving along or up and down in tens and ones; for example, solving the problem ‘I was given a $100 gift card for my birthday and spent $38 on a pair of shoes and $15 on a T-shirt. How much money do I have left on the card?’
  • using Aboriginal and Torres Strait Islander Peoples’ stories and dances to understand the balance and connection between addition and subtraction, representing relationships as number sentences

  VC2M2N04 | Mathematics | Mathematics Version 2.0 | Level 2 | Number

• Mathematics: Level 2 achievement standards

  Number and Algebra

  Students count to and from, and order numbers up to 1000. They perform simple addition and subtraction calculations, using a range of strategies. They find the total value of simple collections of Australian notes and coins. Students represent multiplication and division by grouping...

  Level description | Mathematics | Level 2

• VC2M2A03

  recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving

  Elaborations

  • recognising and relating terms such as ‘double’, ‘twice’ and ‘multiply by 2’, and ‘halve’ and ‘divide by 2’ using physical and virtual materials; for example, colouring numbers on a hundreds chart to represent doubles and using it to recognise halves or recognising the doubling pattern and applying the pattern to find related facts such as ‘For 8 twos, think 2 eights’
  • doubling and halving collections to practise and develop fluency with multiplication and division facts for twos, leading to recall of these facts
  • establishing an understanding of doubles and near doubles using physical or virtual manipulatives; for example, using manipulatives to establish that doubling 5 gives you 10, then extending this doubling fact to respond to the question ‘How can you use this fact to double 6 or double 4?’
  • developing fluency with doubling and halving numbers within 20 using physical or virtual materials and playing doubling and halving games; for example, using a physical or virtual dice and choosing whether to double or halve to reach a target number 

  VC2M2A03 | Mathematics | Mathematics Version 2.0 | Level 2 | Algebra

• VCZHU128

  Recognise differences and similarities in communication across cultures, such as greetings, names and gestures

  Elaborations

  • viewing and listening to Chinese and Australian cartoons and identifying similarities and differences
  • examining pictures of different marketplaces and noticing differences between food markets and grocery stores in China and Australia
  • observing what is the same and what is different in their classroom interactions and classroom interactions in China
  • discussing communicative practices across cultures and identifying culture-specific practices (for example 拜年) in Chinese culture, including noting culture-specific phrases used in either Chinese or English
  • recognising various ways in which familiar concepts are expressed in different cultures, such as greetings
  • using non-verbal communication, such as gestures and facial expressions, for example, showing numbers 1–10 with fingers
  • recognising ways in which people express their culture in music, dance, traditional stories, food, games and celebrations
  • recognising visible expressions of identity such as flags, maps, traditional dress, and landmarks
  • exploring cultural symbols and practices through stories, songs, dances, games and crafts

  VCZHU128 | Languages | Chinese | Background Language Learner | F–10 Sequence | Foundation to Level 2 | Understanding | Role of language and culture

• VCFRC002

  Participate in guided group activities using simple repetitive language in songs, rhymes, games and transactions

  Elaborations

  • singing and adapting rhymes, action songs and raps (Tourne, tourne petit moulin), lullabies (Fais do-do) and counting songs (Un éléphant se balançait)
  • creating class activities or projects that involve naming, labelling and illustrating, such as a garden, a pet rock collection or favourite-photos wall
  • participating in tasks involving exchanging, sorting and classifying objects and attributes such as shapes, colours and numbers, using simple question forms and affirmative/negative responses, for example, Tu as un 7? Oui, voilà. Et toi, tu as un 10? Non, j’ai un 6
  • taking turns in games and action songs that involve choice and negotiation, for example, choosing or exchanging matching cards or playing memory games such as Au marché (donne-moi deux pommes, s’il te plaȋt; donne-moi deux pommes et trois carottes…)

  VCFRC002 | Languages | French | F–10 Sequence | Foundation to Level 2 | Communicating | Socialising

• VC2M2N03

  recognise and describe one-half as one of 2 equal parts of a whole and connect halves, quarters and eighths through repeated halving

  Elaborations

  • creating halves of a range of collections sets by sharing collections into 2 equal groups; for example, comparing half of a set of 12 washers with half of a set of 8 bolts to identify how they both represent one-half of their respective set
  • creating halves using measurement attributes – for example, explaining that ‘a half is one part out of 2 equal parts of a whole’; equally folding a strip of paper, dividing a lump of playdough or separating a cup of water into 2 equal parts, and then selecting one of the parts and naming it ‘one-half’; or comparing half of a collection of 10 counters with half of a shape or object and explaining how each shows one-half of the respective whole
  • using repeated halving to subdivide shapes and objects in different ways to make corresponding halves, quarters and eighths; naming the parts and comparing the size of them to notice that they are all the same size; and demonstrating that a quarter is a half of a half and that an eighth is a half of a quarter
  • dividing a shape into equal parts and relating the number of parts to the unit fraction; for example, if there are 4 equal parts then each part is one-quarter and if there are 8 equal parts then each is one-eighth

  VC2M2N03 | Mathematics | Mathematics Version 2.0 | Level 2 | Number

• VC2M2N05

  multiply and divide by one-digit numbers using repeated addition, equal grouping, arrays and partitioning to support a variety of calculation strategies

  Elaborations

  • making and naming arrays and using bar models to solve simple multiplication or sharing problems; for example, making different arrays to represent 12 and naming them as ‘3 fours’, ‘2 sixes’, ‘4 threes’ and ‘6 twos’, using physical or virtual materials to make arrays or using bar models to demonstrate that ‘3 fours’ is equal to ‘4 threes’
  • finding the total number represented in an array by partitioning the array using subitising and number facts; for example, describing how they determined the total number of dots arranged in a ‘3 fives’ array by saying, ‘I saw 2 fives, which is 10, and then 5 more, which makes 15’
  • recognising problems that can be solved using division and identifying the difference between dividing a set of objects into 3 equal groups and dividing the same set of objects into groups of 3
  • using a Think Board to solve partition and quotition division problems; for example, sharing a prize of $36 between 4 people, using materials, a diagram and skip counting to find the answer, and explaining whether the answer ‘9’ refers to people or dollars
  • using materials or diagrams, and skip counting, to solve repeated equal-quantity multiplication problems; for example, writing a repeated addition number sentence and using skip counting to solve the problem ‘Four trays of biscuits with 6 on each tray – how many biscuits are there?’

  VC2M2N05 | Mathematics | Mathematics Version 2.0 | Level 2 | Number