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• VCMNA189

  Recognise that the place value system can be extended beyond hundredths

  Elaborations

  • using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
  • recognising the equivalence of one thousandths and 0.001

  VCMNA189 | Mathematics | Level 5 | Number and Algebra | Fractions and decimals

• VC2M5N01

  interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line

  Elaborations

  • making models of decimals including tenths, hundredths and thousandths by subdividing materials or grids, and explaining the multiplicative relationship between consecutive places; for example, explaining that thousandths are 10 times smaller than hundredths, or writing numbers into a place value chart to compare and order them
  • renaming decimals to assist with mental computation; for example, when asked to solve 0.6 ÷ 10 they rename 6 tenths as 60 hundredths and say, ‘If I divide 60 hundredths by 10, I get 6 hundredths’ and write 0.6 ÷ 10 = 0.06
  • using a number line or number track to represent and locate decimals with varying numbers of decimal places and numbers greater than one and justifying the placement; for example, 2.335 is halfway between 2.33 and 2.34, that is, 2.33 < 2.335 < 2.34, and 5.283 is between 5.28 and 5.29 but closer to 5.28
  • interpreting and comparing the digits in decimal measures, for example, the length or mass of animals or plants, such as a baby echidna weighing 1.78 kilograms and a platypus weighing 1.708 kilograms
  • interpreting plans or diagrams showing length measures as decimals, placing the numbers into a decimal place value chart to connect the digits to their value

  VC2M5N01 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• VC2M5N04

  recognise that 100% represents the complete whole and use percentages to describe, represent and compare relative size; connect familiar percentages to their decimal and fraction equivalents

  Elaborations

  • recognising applications of percentages used in everyday contexts, for example, the bar model used for charging devices indicating the percentage of power remaining, and advertising in retail contexts relating to discounts or sales
  • creating a model by subdividing a whole (for example, using 10 × 10 grids to represent various percentage amounts) and recognising complementary percentages (such as 30% and 70%) combine to make 100%
  • creating a model by subdividing a collection of materials, such as blocks or money, to connect decimals and percentage equivalents of tenths and the commonly used fractions 12, 14 and 34; for example, connecting that one-tenth or 0.1 represents 10% and one-half or 0.5 represents 50%, and recognising that 60% of a whole is 10% more of the whole than 50%
  • using physical and virtual materials to represent the relationship between decimal notation and percentages, for example, 0.3 is 3 out of every 10, which is 30 out of every 100, which is 30%

  VC2M5N04 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• VC2M5N06

  solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient mental and written calculation strategies and using digital tools where appropriate; check the reasonableness of answers

  Elaborations

  • solving multiplication problems such as 253 × 4 using a doubling strategy, for example, 2 × 253 = 506 and 2 × 506 = 1012
  • solving multiplication problems like 15 × 16 by thinking of factors of both numbers, 15 = 3 × 5, 16 = 2 × 8, and rearranging the factors to make the calculation easier, 5 × 2 = 10, 3 × 8 = 24 and 10 × 24 = 240
  • using an array to show place value partitioning to solve multiplication, such as 324 × 8, thinking 300 × 8 = 2400, 20 × 8 = 160, 4 × 8 = 32 then adding the parts, 2400 + 160 + 32 = 2592; and connecting the parts of the array to a standard written algorithm
  • using different strategies used to multiply numbers, and explaining how they work and if they have any limitations; for example, discussing how the Japanese visual method for multiplication is not effective for multiplying larger numbers

  VC2M5N06 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• 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

• VCASFU052

  Explore variation in terms of the impact of other languages on Auslan across contexts and over time

  Elaborations

  • noticing different ways that English words are borrowed into Auslan, for example, the use of fully fingerspelled words, such as D-U-E, N-O-U-N, the fingerspelling of the first letter of corresponding English words, for example TOILET, FATHER, or abbreviations of English words, for example, state names: S-A, N-S-W, V-I-C, T-A-S, and organisation names: N-A-B-S, W-A-A-D, N-S-W-A-D, D-C-S-S-A
  • creating lists of fingerspelled words which have become lexicalised, for example, HOW, BUT, ABOUT, FOR, and looking at how this process has changed the form of words over time
  • recognising that Auslan includes loan signs from Signed English, some of which were invented for Signed English (for example, TOY or DAD) and some that were from the southern dialect and incorporated into Signed English, for example, YELLOW
  • looking at style shifts in domains where English is in closer contact with Auslan, such as the use of more English-like structures in formal and educational settings
  • explaining the influence of other signed languages such as BSL, ISL and ASL on Auslan over different periods of time and discussing reasons for such influence

  VCASFU052 | Languages | Auslan | First Language Learner | F–10 Sequence | Levels 5 and 6 | Understanding | Language variation and change

• VCASFU178

  Explore variation in terms of the impact of other languages on Auslan across contexts and over time

  Elaborations

  • noticing different ways that English words are borrowed into Auslan, for example, the use of fully fingerspelled words, such as D-U-E, N-O-U-N, the fingerspelling of the first letter of corresponding English words, for example TOILET, FATHER, or abbreviations of English words, for example, state names: S-A, N-S-W, V-I-C, T-A-S, and organisation names: N-A-B-S, W-A-A-D, N-S-W-A-D, D-C-S-S-A
  • creating lists of fingerspelled words which have become lexicalised, for example, #HOW, #BUT, #ABOUT or #FOR and looking at how this process has changed the form of words over time
  • recognising that Auslan includes loan signs from Signed English, some of which were invented for Signed English (for example, TOY or DAD) and some that were from the southern dialect and incorporated into Signed English, for example, YELLOW
  • looking at style shifts in domains where English is in closer contact with Auslan, such as the use of more English-like structures in formal and educational settings
  • explaining the influence of other signed languages such as BSL, ISL and ASL on Auslan over different periods of time and discussing reasons for such influence

  VCASFU178 | Languages | Auslan | Second Language Learner | F–10 Sequence | Levels 5 and 6 | Understanding | Language variation and change

• VCKOC161

  Create bilingual texts and resources such as signs, notices, captions, displays, websites or word banks for own learning, and share them in the school community and with learners of Korean in the virtual community

  Elaborations

  • creating bilingual texts for digital or multimodal resources for the community, for example, a virtual tour for school with signs, notices, labels and short comments in Korean and English, for example, 조용히 하세요 (‘Be quiet’), 도서실 (‘Library’)
  • creating parallel lists of informal Korean and English expressions for everyday interactions with friends and family in print and digital modes
  • composing bilingual texts such as posters for class or school assembly performances, events or displays, for example, 10월 3일 개천절
  • constructing and co-maintaining a bilingual website with a sister-school or contact group of young learners of English in a Korean-speaking community

  VCKOC161 | Languages | Korean | F–10 Sequence | Levels 5 and 6 | Communicating | Translating

• VC2M5P02

  conduct repeated chance experiments, including those with and without equally likely outcomes, and observe and record the results; use frequency to compare outcomes and estimate their likelihoods

  Elaborations

  • discussing and listing all the possible outcomes of an activity and conducting experiments to estimate the probabilities (for example, using coloured cards in a card game and experimenting with shuffling the deck and turning over one card at a time) and recording and discussing the results
  • conducting experiments, recording the outcomes and the number of times the outcomes occur, and describing the relative frequency of each outcome; for example, using ‘I threw the coin 10 times, and the results were 3 times for a head, so that is 3 out of 10, and 7 times for a tail, so that is 7 out of 10’
  • experimenting with and comparing the outcomes of spinners with equal coloured regions compared to unequal coloured regions; and responding to questions such as ‘How does this spinner differ to one where each of the colours has an equal chance of occurring?’, giving reasons
  • comparing the results of experiments using a fair dice and one that has numbers represented on faces more than once, explaining how this affects the likelihood of outcomes
  • using spreadsheets to record the outcomes of an activity and calculate the total frequencies of different outcomes, representing these as a fraction; for example, using coloured balls in a bag, drawing one out at a time and recording the colour, and replacing them in the bag after each draw
  • investigating Aboriginal and/or Torres Strait Islander children’s instructive games (for example, Diyari koolchee from the Diyari Peoples near Lake Eyre in South Australia), to conduct repeated trials and explore predictable patterns, using digital tools where appropriate

  VC2M5P02 | Mathematics | Mathematics Version 2.0 | Level 5 | Probability

• VCDTDI027

  Examine how whole numbers are used as the basis for representing all types of data in digital systems

  Elaborations

  • recognising that digital systems represent all types of data using number codes that ultimately are patterns of 1s and 0s
  • explaining that binary represents numbers using 1s and 0s and these represent the on and off electrical states respectively in hardware and robotics
  • recognising that the numbers 0, 1, 2 and 3 could be represented by the patterns of two binary digits of 00, 01, 10 and 11
  • representing whole numbers in binary, for example counting in binary from zero to 15, or writing a friend’s age in binary
  • exploring how division by two can be used as a technique to determine the binary representation of any whole number by collecting remainder terms
  • representing the state of an object in a game as active or inactive using the respective binary values of 1 or 0

  VCDTDI027 | Technologies | Digital Technologies | Levels 5 and 6 | Data and Information

• VCITC042

  Interact in classroom activities and create shared class routines

  Elaborations

  • interacting in small groups in class routines, for example, Come si scrive? Di chi è questo/questa? È mio/mia. È di mio fratello
  • asking to receive things, for example, Per favore, dammi una penna blu. Per piacere, mi porti …? Sì/D’accordo/Non posso
  • asking the time, for example, Che ora è? Sono le … Quanto manca? 10 minuti.
  • asking where an event is taking place, for example, Dove si fa la festa? Dove si trova …? Dov’è …? In Italia/vicino/lontano/ al numero 6
  • participating in a class dis cussion on a theme, activity or experience, for example, La musica di … è più interessante di … Secondo me …

  VCITC042 | Languages | Italian | F–10 Sequence | Levels 5 and 6 | Communicating | Socialising

• 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 14 on a fraction wall represents the area of one-quarter of the whole, while on the number line 14 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 210 is located at the same position on a parallel number line as 15 because 15 is equivalent to 210
  • 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

• VCKOU166

  Identify and use appropriate terms and expressions, such as honorific and qualifying words and counters for specific purposes and contexts

  Elaborations

  • using vocabulary to describe basic activities in school and home environments including leisure activities using common verbs such as 공부해요,쇼핑해요, 운동해요, 먹어요, 살아요, …, and nouns such as names of basic facilities (방, 교실, 화장실, ...) and of the days of the week (월요일,화요일, …)
  • describing emotions, feelings or viewpoints using basic descriptive verbs, for example, 재미있어요, 무서워요, 행복해요, 이상해요, 용감해요, 예뻐요, 슬퍼요, 맞아요, 틀려요, 싫어요, 아파요, 멋있어요
  • describing the weather using 날씨가 좋아요/나빠요 or 비가 와요 as set phrases
  • using basic words specifically related to everyday life of Koreans, for example, 밥, 김치
  • using basic adverbs to describe ways in which a certain action takes place, for example, 빨리, 천천히, 조용히 (빨리 하세요, 천천히 가세요, 조용히 하세요) and to indicate time using 어제, 오늘 and 내일
  • using basic honorific/humble words appropriately for peers or adults, for example, 생신, 계세요, 저
  • using counters with numbers in two systems (장, 잔, 권, 그루, 송이, 원, 시, 분, 번째, …) and Arabic numerals with appropriate pronunciations, for example, 책 세 권, 10살,6학년, 7시

  VCKOU166 | Languages | Korean | F–10 Sequence | Levels 5 and 6 | Understanding | Systems of language

• VC2M5A02

  find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations

  Elaborations

  • using knowledge of equivalent number sentences to form and find unknown values in numerical equations; for example, given that 3 × 5 = 15 and 30 ÷ 2 = 15, then 3 × 5 = 30 ÷ 2, and therefore the solution to 3 × 5 = 30 ÷ □ is 2
  • using relational thinking, and an understanding of equivalence and number properties to determine and reason about numerical equations; for example, explaining whether an equation involving equivalent multiplication number sentences is true, such as 15 ÷ 3 = 30 ÷ 6
  • using materials, diagrams and arrays to demonstrate that multiplication is associative and commutative but division is not – for example, using arrays to demonstrate that 2 × 3 = 3 × 2 but 6 ÷ 3 does not equal 3 ÷ 6; demonstrating that 2 × 2 × 3 = 12 and 2 × 3 × 2 = 12 and 3 × 2 × 2 = 12; and understanding that 8 ÷ 2 ÷ 2 = (8 ÷ 2) ÷ 2 = 2 but 8 ÷ (2 ÷ 2) = 8 ÷ 1 = 8
  • using materials, diagrams or arrays to recognise and explain the distributive property, for example, where 4 × 13 = 4 × 10 + 4 × 3
  • constructing equivalent number sentences involving multiplication to form a numerical equation, and applying knowledge of factors, multiples and the associative property to find unknown values in numerical equations; for example, considering 3 × 4 = 12 and knowing 2 × 2 = 4, then 3 × 4 can be written as 3 × (2 × 2) and, using the associative property, (3 × 2) × 2 so 3 × 4 = 6 × 2 and so 6 is the solution to 3 × 4 = □ × 2

  VC2M5A02 | Mathematics | Mathematics Version 2.0 | Level 5 | Algebra

• Korean - F–10 Sequence: Levels 5 and 6 achievement standards

  By the end of Level 6, students engage in classroom interactions to carry out collaborative tasks, to exchange information and to express feelings and ideas related to specific contexts, personal interests and daily routines at home and school. They ask and answer questions with appropriate intonation...

  Level description | Languages | Korean | F–10 Sequence | Levels 5 and 6

• VCDEU149

  Develop and apply knowledge of German grammatical elements such as verb tenses, modal verbs and case, combining them with an increasing range of nouns, adjectives and adverbs to construct sentences

  Elaborations

  • referring to a person, place or object using the nominative and accusative definite and indefinite articles, for example, Das Mädchen hat einen Hockeyschläger. Der Film hat ein Happy End.
  • noticing how articles and pronouns change after certain verbs (Ich danke dir.) and after particular prepositions associated with location, for example, Wir sind in der Stadt. Die Party ist bei Stefan im Garten.
  • understanding and describing current, recurring and future actions, including by using common separable verbs such as aufstehen, ausgehen, aussehen, fernsehen, mitkommen and mitnehmen
  • understanding the concept of regular and irregular verbs and noticing that this is a feature of both German and English (and other languages, such as French, Italian and Spanish)
  • understanding and expressing obligation and permission using the modal verbs müssen and dürfen, such as in descriptions of school rules, for example, Wir dürfen in der Klasse nicht texten. Wir müssen eine Uniform tragen.
  • comparing the meaning of the modal verbs wollen, sollen, mögen and können with their English equivalents
  • making comparisons using simple structures such as Ich mag Erdbeeren lieber als Kiwis. Radfahren ist besser als Autofahren.
  • giving instructions to one or more peers, for example, Trink(t) mehr Wasser!
  • understanding and speaking about past events by adapting modelled sentences in the present perfect tense and using knowledge of common verbs in the simple past tense, for example, Ich habe heute meine Hausaufgaben nicht gemacht. Wir sind nach Bali geflogen. Früher konnte ich Klavier spielen.
  • noticing that some verbs can be combined with a separable or inseparable prefix which alters the meaning of the base verb, for example, Er kommt um 17.15 Uhr. Kommst du mit? Ich bekomme $50 zum Geburtstag.
  • describing frequency using adverbs and adverbial expressions such as oft, manchmal, jeden Tag, ab und zu and nie
  • understanding the meaning of the conjunctions dass and weil
  • understanding questions using warum and responding with a simple sentence, for example, Warum bist du müde? Ich habe heute Fuβball gespielt.
  • referring to a date, including the year, for an event such as a birth date, for example, Meine Oma ist am elften April 1956 geboren.
  • understanding and locating events in time, including the use of the 24-hour clock, prepositions such as nach and vor, and formulaic expressions such as früher, später, am Wochenende, in den Ferien
  • referring to quantities of people and things (including Meter, Kilometer; Quadratmeter, Quadratkilometer for length/height/distance and area) using cardinal numbers up to 10 000 including decimals, common fractions and negative numbers, for example, 85,5 Prozent haben ein Handy. Die Tagestemperatur liegt bei minus 8 Grad. Ich habe eine Halbschwester.
  • building metalanguage to comment on grammar and vocabulary (for example, Substantive/Nomen, Verben, Ordinalzahlen, Präpositionen, Fragewörter, groβ/klein schreiben), comparing with equivalent English terms

  VCDEU149 | Languages | German | F–10 Sequence | Levels 5 and 6 | Understanding | Systems of language