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• Mathematics | Mathematics: Learning in Mathematics

  The proficiencies of Understanding, Fluency, Problem Solving and Reasoning are fundamental to learning mathematics and working mathematically and are applied across all three strands Number and Algebra, Measurement and Geometry, and Statistics and Probability.

  Understanding refers to students...

  Overview material | Mathematics

• Spanish - F–10 Sequence: Foundation to Level 2 achievement standards

  By the end of Level 2, students interact with teachers and peers through action-related talk and play. They introduce themselves and exchange greetings such as Buenos días/tardes/noches, and farewells (for example, hasta pronto). They use simple repetitive language and respond to simple...

  Level description | Languages | Spanish | F–10 Sequence | Foundation to Level 2

• Turkish - F–10 Sequence: Foundation to Level 2 achievement standards

  By the end of Level 2, students interact with the teacher and peers to share information about themselves and to exchange greetings, for example, Merhaba! Günaydın! Tünaydın! İyi günler! İyi akşamlar! İyi geceler! Hoşça kal! Güle güle! Hoş geldiniz! Hoş bulduk! They d...

  Level description | Languages | Turkish | F–10 Sequence | Foundation to Level 2

• Victorian Aboriginal Languages: Foundation to Level 2 achievement standards

  By the end of Level 2, students interact with the teaching team and respected community members to talk about themselves and family, using familiar modelled language and gestures. They use appropriate protocols when interacting with respected community members and community speakers, such as appropriate...

  Level description | Languages | Victorian Aboriginal Languages | Foundation to Level 2

• VCASFC091

  Interact with peers and teachers to exchange information about self, family, friends and interests, describe people and objects and express some feelings and preferences

  Elaborations

  • exchanging greetings, thanks and apologies, for example, HELLO, HOW-ARE-YOU? GOOD MORNING M-R-J-O-N-E-S, THANK-YOU, SORRY
  • expressing feelings using lexical signs and affective NMFs, for example:
    PRO1 HAPPY
    I’m happy.
    PRO3 GRUMPY
    She’s grumpy.
  • using formulaic language to express wishes for particular occasions or events, for example, HAPPY BIRTHDAY, GOOD-LUCK
  • making arrangements using simple time-related signs without numeral incorporation, for example, LAST-WEEK, MONDAY and with numeral incorporation, such as THREE-DAYS-AGO, TWO-YEARS-AGO, IN-TWO-DAYS
  • stating likes, dislikes and preferences using associated NMFs, for example:
    PRO1 LIKE TV
    I like TV.
    DON’T-LIKE DRAWING
    I don’t like drawing.
  • introducing self and family and explaining relationships using possessive pronouns, for example:
    POSS1 NAME X, PRO1 12-YEARS-OLD
    My name is X, and I’m 12 years old.
    PRO3 POSS1 BROTHER
    He’s my brother.
  • asking and responding to questions about a familiar topic such as their family, a hobby or an interest, or a recent event, for example:
    PAST WEEKEND, YOU GO WHERE?
    Where did you go last weekend?
    FAMILY PRO1 GO PLAY SOCCER
    My family and I went to play soccer.
  • referring to family members and classmates by fingerspelling a name or by using a sign name and describing their appearance or characteristics, for example:
    POSS1 SISTER TALL SKINNY HAVE BLACK HAIR
    My sister is tall and thin and has black hair.
  • describing what they are doing in class activities using plain verbs, for example, PRO1 WRITE, PRO1 READ

  VCASFC091 | Languages | Auslan | First Language Learner | 7–10 Sequence | Levels 7 and 8 | Communicating | Socialising

• VC2M9N01

  recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers with and without using digital tools

  Elaborations

  • investigating the real number system by representing the relationships between irrational numbers, rational numbers, integers and natural numbers and discussing the difference between exact representations and approximate decimal representations of irrational numbers
  • using a real number line to indicate the solution interval for inequalities of the form ax+b <c ,
    for example, 2x+7<0 ; or of the form ax+b>c , for example, 1.2x-5.4>10.8
  • using positive and negative rational numbers to solve problems, for example, for financial planning such as budgeting
  • solving problems involving the substitution of real numbers into formulas, understanding that solutions can be represented in exact form or as a decimal approximation, such as calculating the area of a circle using the formula A=πr2 and specifying the answer in terms of π as an exact real number; for example, the circumference of a circle with diameter 5 units is 5π units, and the exact area is π(52)2=254π square units, which rounds to 19.63 square units, correct to 2 decimal places
  • investigating the position of rational and irrational numbers on the real number line, using geometric constructions to locate rational numbers and square roots on a number line; for example, 2 is located at the intersection of an arc and the number line, where the radius of the arc is the length of the diagonal of a one-unit square

  VC2M9N01 | Mathematics | Mathematics Version 2.0 | Level 9 | Number

• VCASFC044

  Translate a variety of familiar school and community texts from Auslan to English and vice versa, identifying which words or phrases may not readily correspond across the two languages

  Elaborations

  • finding and using phrases that have direct sign-for-word translations between Auslan and English, such as Goodnight, Happy birthday and Happy New Year, and some that do not, such as None of your business!
  • identifying issues associated with translation, such as multiple meanings for words like run, the fact that meaning is not always literal and that sign translations of a word will vary according to the meaning of the concept in context
  • conducting sight translations of simple English texts such as short news articles
  • translating short texts such as children’s fairytales, simple song lyrics or a short poem from English to Auslan
  • translating and explaining the meaning of words or expressions associated with figurative language use in Auslan, such as TRAIN GONE, SORRY and comparing these to English idioms
  • determining the meaning of technical English words used in other curriculum areas, for example, natural disasters or global warming, demonstrating how they would translate or explain them in Auslan
  • translating the school song into Auslan, identifying lexical challenges and finding suitable Auslan equivalents to match the English concept
  • identifying and explaining signs that are not easy to translate into English because of culture-specific meaning and history, for example, signs such as Deaf school

  VCASFC044 | Languages | Auslan | First Language Learner | F–10 Sequence | Levels 5 and 6 | Communicating | Translating

• VCDEC163

  Participate in intercultural experiences, demonstrating awareness of the importance of shared understanding, and reflecting on adjustments made as a result of reactions and responses

  Elaborations

  • participating in cultural experiences, such as eating at a Swiss restaurant/café in Australia, watching a German soccer match or Austrian skiing competition, or listening to a pop group performance on Radio Liechtenstein, and reflecting on cultural similarities and differences that are manifested through language
  • reflecting on how some personal or community ideas and actions in the Australian context may be perceived by German speakers, for example, being able to go camping all year round or taking into account the vastness of Australia when planning a holiday, and discussing possible implications
  • observing and recording aspects of language (such as register and use of the imperative) and cultural behaviour that need to be modified when communicating in German, depending on audience and social context
  • reflecting on and explaining which aspects of culture and language use can be comfortably adopted and where adjustments should be made, such as the use of Sie and titles (Herr Dr. Meier), wearing of Hausschuhe, placing payment and receiving change on a tray rather than in the hand in a shop
  • providing advice for others in intercultural situations where it is difficult to make oneself understood clearly or to understand the other speaker

  VCDEC163 | Languages | German | F–10 Sequence | Levels 7 and 8 | Communicating | Reflecting

• VCDTCD018

  Explore how people safely use common information systems to meet information, communication and recreation needs

  Elaborations

  • sharing and describing ways that common information systems can be used to meet communication needs, for example computers can be used as phones and social networking tools allowing communication between families living in different regions
  • recognising and discussing the need for cyber-safety when using online information systems, for example recognising that shared personal information can be used for undesirable purposes and that using a password is a means of protecting identity
  • recognising safe ergonomic practices when children are playing with information systems, for example recognising the need to take regular breaks to avoid eye strain and repetitive strain injuries
  • discussing how a range of information systems support personal needs and impact on others, for example text to speech software can be used to meet the communications needs of people with vision loss
  • sharing ideas about the ways information systems are being used by families and friends in everyday life, for example comparing current digital play equipment with play equipment of 20 years ago

  VCDTCD018 | Technologies | Digital Technologies | Foundation to Level 2 | Creating Digital Solutions

• VCESC184

  Analyse, synthesise and evaluate ideas and information from multiple sources on a range of local and global issues

  Elaborations

  • gathering information from a range of print and digital sources on topics such as ecoturismo or machismo, and identifying, evaluating and reporting on perspectives
  • distinguishing between fact and opinion in texts such as articles and reports, using critical literacy skills to recognise bias, for example, identifying the author, audience and purpose of the text
  • comparing and evaluating a range of perspectives on topics such as health, music, sport and religion presented in different media texts, and considering why people may have different perspectives
  • presenting commentaries collected from print, digital and personal sources of information on issues of interest to themselves and other young people, such as El impacto de los medios sociales en la vida cotidiana, El vestuario y la identidad, La influencia de la música en los jóvenes, classifying issues according to viewpoints and perspectives
  • researching cultural characteristics of a specific group of Spanish speakers to inform a course of action such as providing a Spanish-speaking exchange student with a suitable placement or a group of Spanish visitors with a suitable menu, or deciding on an appropriate time of year to visit a particular Spanish-speaking country or region
  • analysing published accounts of an event such as a sports match, a concert or a street party, identifying varying viewpoints

  VCESC184 | Languages | Spanish | F–10 Sequence | Levels 9 and 10 | Communicating | Informing

• VCHHC122

  Analyse and evaluate the broad patterns of change over the period 1750–present

  Elaborations

  • using data from immigration records and processing it using ICT to identify historical trends over time
  • explaining the nature and extent of the movement of peoples in the period (slaves, convicts and settlers) and the emergence and nature of significant economic, social and political ideas in the period, including nationalism
  • analysing the extent of European imperial expansion and different responses, including in the Asian region
  • evaluating the inter-war years between World War I and World War II, including the Treaty of Versailles, the Roaring Twenties and the Great Depression
  • evaluating continuing efforts post-World War II to achieve lasting peace and security in the world, including Australia’s involvement in UN peacekeeping
  • analysing the major movements for rights and freedom in the world and evaluating the achievement of independence by former colonies
  • explaining the nature of the Cold War and Australia’s involvement in Cold War and post-Cold War conflicts (Korea, Vietnam, The Gulf Wars, Afghanistan), including the rising influence of Asian nations since the end of the Cold War
  • explaining developments in technology, public health, longevity and standard of living during the twentieth century, and concern for the environment and sustainability

  VCHHC122 | The Humanities | History | Levels 9 and 10 | Historical Concepts and Skills | Chronology

• VCIDC072

  Investigate, synthesise and evaluate information from a range of perspectives in relation to topical issues and concepts from a range of learning areas

  Elaborations

  • comparing and evaluating a range of perspectives on topics such as sport, health, music and religion, and considering why people may hold different perspectives
  • obtaining information in order to debate issues of interest such as the environment, expectations of teenagers, and the generation gap, and cultural practices such as marriage or rites of passage, using persuasive or evaluative language, for example, Saya percaya…, Ini pasti berguna bagi…, mau tidak mau…
  • investigating aspects of Indonesian culture to choose a particular course of action, for example, determining a suitable placement for an Indonesian exchange student, a suitable menu for a group of Indonesian visitors, or an appropriate time of year to visit Indonesia
  • distinguishing between fact and opinion in texts such as articles and reports, and using critical literacy skills to recognise bias, for example, identifying the author, audience and purpose of the text
  • researching a concept or issue, including those drawn from other learning areas such as art, history, science, geography or health
  • identifying and evaluating ways in which values shape content and language in texts such as announcements, surveys, interviews, documentaries, recipes, advertisements, web pages or magazines
  • listening to, viewing and reading texts such as interviews, documentaries and speeches to obtain and synthesise information and use it in new forms, for example, creating a profile of a famous person from an interview

  VCIDC072 | Languages | Indonesian | F–10 Sequence | Levels 9 and 10 | Communicating | Informing

• VCITU032

  Experiment with pronunciation and intonation and use rules of spelling

  Elaborations

  • developing pronunciation between sound blends in Italian in comparison to English, for example, sc followed by h or i/e (schiavo, piscine, pesce); letter combinations such as gn in lavagna and gnocchi, and gl in figlio and famiglia
  • learning to recognise the silent h as applicable to the verb avere and for borrowed words, for example, hockey, hotel
  • noticing the differences in intonation between statements, questions, exclamations and commands
  • understanding that an accent may change the meaning of the word, for example, è and e, il papà, il Papa
  • applying punctuation and capitalisation rules when writing, for example, omission of capitals with days of the week and months of the year

  VCITU032 | Languages | Italian | F–10 Sequence | Levels 3 and 4 | Understanding | Systems of language

• VCITU108

  Develop awareness of features of the Italian sound system, including pronunciation, syllable stress, rhythm and intonation, and how these are represented in written form

  Elaborations

  • listening to and producing the sounds of Italian, and noticing sound–symbol correspondence, for example, consonant combinations (for example, famiglia, gnocchi, chiesa, barche), vowel combinations (for example, buono, chiave, ciliegia) and double consonants (for example, sono and sonno)
  • using the Italian alphabet, making connections between spoken and written forms, understanding the effect of grave and acute accents (for example, città, perché)
  • recognising differences in tone and rhythm between statements, questions, exclamations, requests and commands, for example, Vai a casa? Vai a casa!
  • noting differences between Italian and English use of capital letters, and using rules of capitalisation when creating own texts, for example, omission of capitals with weekdays, months of the year and nationalities
  • checking pronunciation of words using sound files and text-to-speech software
  • recording individual words to create a talking dictionary

  VCITU108 | Languages | Italian | 7–10 Sequence | Levels 7 and 8 | Understanding | Systems of language

• VCKOC194

  Analyse, interpret and integrate information gathered from diverse sources relating to areas of interest to adolescents or young adults, making connections with own and each other’s experience and with other learning areas

  Elaborations

  • understanding gist and identifying keywords to extract specific information, by scanning through texts from various sources in conventional, digital or multimodal formats such as articles, reports or podcasts on topics such as pop culture, youth employment, the environment and world sports, or those related to other learning areas
  • distinguishing between fact and opinion in texts such as articles and reports, using critical literacy skills to recognise bias, for example, identifying the author, audience and purpose of the text
  • analysing and interpreting collected information by summarising, sequencing and prioritising, considering audience, purposes and context, for example, 한국에는 태풍이 오고, 호주에는 사이클론이 와요/옵니다. 태풍은 …, 사이클론은 …
  • obtaining information in order to debate issues of interest such as the environment, expectations of teenagers, and the generation gap, using persuasive or evaluative language, for example, 나는 ... 믿어요/확신해요; 이것은 분명히…–이에요/예요; 그렇지만 …; 정말 …–(으)ㄹ까요?
  • investigating aspects of Korean culture to determine a particular course of action, for example, providing a Korean exchange student with a suitable placement, or a group of Korean visitors with a suitable menu, or selecting an appropriate time of the year for a visit to Korea

  VCKOC194 | Languages | Korean | F–10 Sequence | Levels 9 and 10 | Communicating | Informing

• VC2M2N06

  use mathematical modelling to solve practical problems involving additive and multiplicative situations, including money transactions; represent situations and choose calculation strategies; interpret and communicate solutions in terms of the context

  Elaborations

  • modelling practical problems by interpreting an everyday additive or multiplicative situation; for example, making a number of purchases at a store and deciding whether to use addition, subtraction, multiplication or division to solve the problem and justifying the choice of operation, such as ‘I used subtraction to solve this problem as I knew the total and one of the parts, so I needed to subtract to find the missing part’
  • modelling and solving simple money problems involving whole dollar amounts with addition, subtraction, multiplication or division, for example, ‘If each member of our class contributes $5, how much money will we have in total?’
  • modelling and solving practical problems such as deciding how many people should be in each team for a game or sports event, how many teams for a given game can be filled from a class, or how to share out some food or distribute money in whole dollar amounts, including deciding what to do if there is a remainder
  • modelling and solving the problem ‘How many days are there left in this year?’ by using a calendar
  • modelling problems involving equal grouping and sharing in Aboriginal and/or Torres Strait Islander children’s instructive games; for example, in Yangamini from the Tiwi Peoples of Bathurst Island, representing relationships with a number sentence and interpreting and communicating solutions in terms of the context

  VC2M2N06 | Mathematics | Mathematics Version 2.0 | Level 2 | Number

• VC2M3N02

  recognise, represent and order natural numbers using naming and writing conventions for numerals beyond 10 000

  Elaborations

  • moving materials from one place to another on a place value model to show renaming of numbers (for example, 1574 can be shown as one thousand, 5 hundreds, 7 tens and 4 ones, or as 15 hundreds, 7 tens and 4 ones)
  • using the repeating pattern of place value names and spaces within sets of 3 digits to name and write larger numbers: ones, tens, hundreds, ones of thousands, tens of thousands, hundreds of thousands, ones of millions, tens of millions; for example, writing four hundred and twenty-five thousand as 425 000
  • predicting and naming the number that is one more than 99, 109, 199, 1009, 1099, 1999, 10 009 … 99 999 and discussing what will change when one, one ten and one hundred is added to each
  • comparing the Hindu-Arabic numeral system to other numeral systems; for example, investigating the Japanese numeral system, 一、十、百、千、万
  • comparing, reading and writing the numbers involved in more than 60 000 years of Aboriginal and Torres Strait Islander Peoples’ presence on the Australian continent through timescales relating to pre-colonisation and post-colonisation

  VC2M3N02 | Mathematics | Mathematics Version 2.0 | Level 3 | Number

• VC2M7N10

  use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts such as ‘best buys’; formulate problems, choosing representations and efficient calculation strategies, designing algorithms and using digital tools as appropriate; interpret...

  Elaborations

  • modelling additive situations involving positive and negative quantities; for example, a lift travelling up and down floors in a high-rise apartment where the ground floor is interpreted as zero, or in geography when determining altitude above and below sea level
  • modelling contexts involving proportion, such as the proportion of students attending the school disco, proportion of the bottle cost to the recycling refund, proportion of the school site that is green space, 55% of Year 7 students attended the end of term function or 23% of the school population voted ‘yes’ to a change of school uniform; and interpreting and communicating answers in terms of the context of the situation
  • modelling financial problems involving profit and loss, credits and debits, gains and losses; for example, holding a fundraising sausage sizzle and determining whether the event made a percentage profit or loss
  • finding the sum of a set of consecutive numbers using a loop structure
  • constructing geometric patterns such as a honeycomb, using dynamic geometry functionality
  • using mathematical modelling to investigate the proportion of land mass/area of Aboriginal Peoples’ traditional grain belt compared with Australia’s current grain belt

  VC2M7N10 | Mathematics | Mathematics Version 2.0 | Level 7 | Number

• VC2M3ST03

  conduct guided statistical investigations involving the collection, representation and interpretation of data for categorical and discrete numerical variables with respect to questions of interest

  Elaborations

  • creating a poster, flow chart or infographic that describes the process of statistical investigation, and the components, tools and types of data that can be collected, represented and interpreted for a purpose
  • collaboratively working through a whole-class investigation by choosing a question of interest, using an efficient collection method and recording collected data, and then interpreting the data in terms of the question
  • planning and carrying out investigations that involve collecting data; for example, narrowing the focus of a question such as ‘Which is the most popular breakfast cereal?’ to ‘Which is the most popular breakfast cereal among Year 3 students in our class?’
  • conducting a whole-class statistical investigation into the best day to hold an open day for parents by creating a simple survey, collecting the data by asking the parents, representing and interpreting the results, and deciding as a class which day would be best
  • investigating seasonal calendars of Aboriginal and/or Torres Strait Islander Peoples by collecting data and creating frequency tables and spreadsheets based on environmental indicators, and creating one-to-one data displays about frequency of environmental indicators for the current season

  VC2M3ST03 | Mathematics | Mathematics Version 2.0 | Level 3 | Statistics

• VC2M1ST01

  acquire and record data for categorical variables in various ways including using digital tools, objects, images, drawings, lists, tally marks and symbols

  Elaborations

  • discussing methods of collecting data to answer a question such as ‘What types of rubbish are found in the playground?’, sharing ideas and trying out some of the suggested methods, reviewing the data collected and explaining how they might change the way they collect data next time
  • collecting and recording information on a topic of interest using lists (for example, ‘How many people follow a particular football team’ or ‘What colour eyes each person has’), examining the data to generate some questions that it could answer, and then rearranging the data or collecting different data to answer the question
  • creating a tally to record data while observing events such as the year level of students using the bike shed, deciding on the possible categories before the observations are taken, and then reviewing the data afterwards to notice whether the tally was effective
  • using star charts with stickers or emojis to represent class data; for example, using emojis on a personal feeling chart to represent how they are feeling each day or using emojis to represent activities on the class calendar
  • exploring ways of representing, sharing and communicating data through stories and symbols used by Aboriginal and Torres Strait Islander Peoples

  VC2M1ST01 | Mathematics | Mathematics Version 2.0 | Level 1 | Statistics