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• VCMNA216

  Multiply and divide decimals by powers of 10

  Elaborations

  • multiplying and dividing decimals by multiples of powers of 10

  VCMNA216 | Mathematics | Level 6 | Number and Algebra | Fractions and decimals

• VCMNA218

  Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies

  Elaborations

  • using authentic information to calculate prices on sale goods

  VCMNA218 | Mathematics | Level 6 | Number and Algebra | Money and financial mathematics

• VC2M6N06

  multiply and divide decimals by multiples of powers of 10 without a calculator, applying knowledge of place value and proficiency with multiplication facts, using estimation and rounding to check the reasonableness of answers

  Elaborations

  • applying place value knowledge, including that the value of the digit is 10 times smaller each time a place is moved to the right, and known multiplication facts, to multiply and divide a decimal by powers of 10
  • applying and explaining estimation strategies in multiplicative situations involving a decimal greater than one that is multiplied by a two- or three-digit number, using a multiple of 10 or 100 when the situation requires just an estimation
  • explaining the effect of multiplying or dividing a decimal by 10, 100, 1000 … in terms of place value and not the decimal point shifting

  VC2M6N06 | Mathematics | Mathematics Version 2.0 | Level 6 | 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

• 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

• Mathematics: Level 6 achievement standards

  Number and Algebra

  Students recognise the properties of prime, composite, square and triangular numbers and determine sets of these numbers. They solve problems that involve all four operations with whole numbers and describe the use of integers in everyday contexts. Students locate fractions and...

  Level description | Mathematics | Level 6

• VC2M6N08

  approximate numerical solutions to problems involving rational numbers and percentages, using appropriate estimation strategies

  Elaborations

  • using familiar fractions, decimals and percentages to approximate calculations, such as 0.3 of 180 is about 13 of 180, or 52% is about 12
  • choosing appropriate estimation strategies including rounding to the nearest whole number, knowledge of multiples of 2, 5 or 10 and partitioning numbers, in contexts such as measuring or cost per unit
  • recognising the effect of rounding on calculations involving fractions or decimals and saying what numbers the answer will be between
  • recognising the usefulness of estimation to check calculations for contexts such as dividing wood into a number of lengths, calculating cost per unit, reducing a recipe or dividing the cost of dinner for a group into individual amounts
  • verifying solutions by estimating percentages in suitable contexts, such as discounts, using common percentages of 10%, 25%, 30%, 50% and 1%
  • investigating estimation strategies to make decisions about steam cooking in ground ovens by Aboriginal and/or Torres Strait Islander Peoples, including catering for different numbers of people and resources needed for cooking

  VC2M6N08 | Mathematics | Mathematics Version 2.0 | Level 6 | Number

• VC2M6N07

  solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies with and without digital tools

  Elaborations

  • explaining how 13 of a quantity can be achieved by dividing by 3, and how knowledge of 13 of a quantity can be used to find 23 or 43 of the same quantity, using situations involving money, length, duration, mass or capacity
  • investigating percentage discounts of 10%, 25% and 50% in an online toy sale, using their equivalent decimal representations of 0.10, 0.25 and 0.50 to calculate the amount of discount on sale items, with and without digital tools
  • linking percentages to their decimal equivalent of tenths and hundredths and using these to determine percentage discounts; for example, finding a 30% discount by using its equivalence to 0.3, dividing by 10 and multiplying the result by 3 to give 30%
  • explaining the equivalence between percentages and fractions, for example, 3313 % and 13 , keeping to percentages that are equivalent to fractions with small denominators such as 6623 % and 12.5%
  • representing a situation with a mathematical expression, for example, numbers and symbols such as 14 × 24, that involves finding a familiar fraction or percentage of a quantity; and using mental strategies or a calculator and explaining the result in terms of the situation in question

  VC2M6N07 | Mathematics | Mathematics Version 2.0 | Level 6 | Number

• 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

• VC2M6A01

  recognise and use rules that generate visually growing patterns and number patterns involving rational numbers

  Elaborations

  • investigating patterns such as the number of tiles in a geometric pattern, or the number of dots or other shapes in successive repeats of a strip or border pattern, looking for patterns in the way the numbers increase or decrease
  • using a calculator or spreadsheet to experiment with number patterns that result from multiplying or dividing; for example, 1 ÷ 9, 2 ÷ 9, 3 ÷ 9 …, 210 × 11, 211 × 11, 212 × 11 …, 111 × 11, 222 × 11, 333 × 11 …, or 100 ÷ 99, 101 ÷ 99, 102 ÷ 99 …
  • creating an extended number sequence that represents an additive pattern using decimals; for example, representing the additive pattern formed as students pay their $2.50 for an incursion as 2.50, 5.00, 7.50, 10.00, 12.50, 15.00, 17.50 …
  • investigating the number of regions created by successive folds of a sheet of paper (one fold, 2 regions; 2 folds, 4 regions; 3 folds, 8 regions) and describing the pattern using everyday language
  • creating a pattern sequence with materials, writing the associated number sequence and then describing the sequence with a rule so someone else can replicate it with different materials; for example, using matchsticks or toothpicks to create a growing pattern of triangles using 3 for one triangle, 5 for 2 triangles and 7 for 3 triangles and describing the pattern as ‘Multiply the number of triangles by 2 and then add one for the extra toothpick in the first triangle’

  VC2M6A01 | Mathematics | Mathematics Version 2.0 | Level 6 | Algebra

• 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

• 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