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• 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

• VC2M3M03

  recognise and use the relationship between formal units of time, including days, hours, minutes and seconds, to estimate and compare the duration of events

  Elaborations

  • estimating how long it would take to read a set passage of text, and sharing this information to demonstrate understanding of formal units of duration of time
  • planning a sequence of events based on estimates of the duration of each event; for example, planning a set of activities for a class party by estimating how long each game or activity will take
  • reading or setting the time on digital devices to the minute or second; for example, setting an online timing device to count down from a set time, or setting the time on a digital clock
  • using sand timers and digital timers to measure and check estimates of short durations of time, such as one minute, 3 minutes and 5 minutes
  • exploring how cultural accounts of Aboriginal and Torres Strait Islander Peoples explain cycles of time that involve the sun, moon and stars

  VC2M3M03 | Mathematics | Mathematics Version 2.0 | Level 3 | Measurement

• VC2M10M02

  interpret and use logarithmic scales in applied contexts involving small and large quantities and change 

  Elaborations

  • understanding that the logarithmic scale is calibrated in terms of order of magnitude, for example, doubling or powers of 10
  • identifying and interpreting data representations (charts and graphs) that use logarithmic scales (for example, graphs representing percentage change, a wide range of values or exponential growth) and discussing when it is appropriate to use this type of scale and when it is not appropriate
  • investigating and interpreting logarithmic scales used in real-world contexts (for example, Richter, decibel and sensitivity scales or growth in investments, timescales and the spread of microorganisms and disease) and describing reasons for choosing to use a logarithmic scale rather than a linear scale
  • investigating dating methods of geological sites to provide evidence of Aboriginal and Torres Strait Islander Peoples’ presence in Australia, including the Madjedbebe dig in the Northern Territory, that use logarithmic scales, scientific notation and measurement accuracy in the dating

  VC2M10M02 | Mathematics | Mathematics Version 2.0 | Level 10 | Measurement

• VC2M1N01

  recognise, represent and order numbers to at least 120 using physical and virtual materials, numerals, number lines and charts

  Elaborations

  • reading, writing and naming numerals and ordering two-digit numbers from zero to at least 120, using patterns within the natural number system, including numbers that look and sound similar, for example, 16, 60, 61 and 66
  • using number tracks or positioning a set of numbered cards in the correct order and relative location by pegging them on an empty number line
  • using hundreds charts to build understanding and fluency with numbers; for example, collaboratively building a hundreds chart using cards numbered from zero to 99, or colour-coding the count of tens in a hundreds chart using one colour to represent the number of tens and another to represent the number of ones
  • recognising that numbers are used in all languages and cultures but may be represented differently in words and symbols (for example, through kanji numbers in Japanese and characters in Chinese) and that there are alternative numeration systems (for example, using special characters for 10 and 100 and other multiples of 10 in Japanese and Chinese numeration)

  VC2M1N01 | Mathematics | Mathematics Version 2.0 | Level 1 | Number

• VC2M10P01

  use the language of ‘if … then …’, ‘given’, ‘of’ and ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language, and describe and interpret situations involving conditional probability; design and conduct simulations using digital tools to model...

  Elaborations

  • using two-way tables and Venn diagrams to understand conditional statements using the language of ‘if … then …’, ‘given’, ‘of’ and ‘knowing that’ and identifying common mistakes in interpreting such language
  • using arrays and tree diagrams to represent, interpret and compare probabilities of dependent and independent events 
  • using samples of different sizes with and without replacement from a population to identify when the difference in methods becomes negligible
  • using simulations to gather data on frequencies for situations involving chance that appear to be counterintuitive, such as the three-door problem or the birthday problem
  • identifying situations in real life where probability simulations are used for decision-making, such as supply and demand of product, insurance risk and queueing 
  • using simulation to predict the number of people likely to be infected with a strain of flu or virus

  VC2M10P01 | Mathematics | Mathematics Version 2.0 | Level 10 | Probability

• VC2M10SP01

  apply deductive reasoning to formulate proofs involving shapes in the plane and use theorems to solve spatial problems

  Elaborations

  • distinguishing between a practical demonstration and a proof; for example, demonstrating that triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent
  • developing proofs involving congruent triangles and angle properties, communicating the proof using a sequence of logically connected statements
  • applying an understanding of relationships to deduce properties of geometric figures; for example, the base angles of an isosceles triangle are equal
  • investigating proofs of geometric theorems and using them to solve spatial problems, for example, applying logical reasoning and similarity to proofs and numerical exercises involving plane shapes, and using visual proofs to justify solutions
  • using dynamic geometry software to find the quadrilateral that has a vertex on each side of a rectangle and has the shortest possible path, and proving that the path forms a parallelogram

  VC2M10SP01 | Mathematics | Mathematics Version 2.0 | Level 10 | Space

• VC2M5SP02

  construct a grid coordinate system that uses coordinates to locate positions within a space; use coordinates and directional language to describe position and movement

  Elaborations

  • understanding how the numbers on the axes on a grid coordinate system are numbers on a number line and are used to pinpoint locations
  • discussing the conventions of indicating a point in a grid coordinate system; for example, writing the horizontal axis number first and the vertical axis number second, and using brackets and commas
  • comparing a grid reference system to a grid coordinate system (first quadrant only) by using both to play strategy games involving location; for example, in playing the game Quadrant Commander, deducing that in a grid coordinate system the lines are numbered (starting from zero), not the spaces
  • placing a coordinate grid over a contour line, drawing and listing the coordinates of each point in the picture, asking a peer to re-create the drawing using only the list of coordinates, and discussing the reasons for the potential similarities and differences between the 2 drawings

  VC2M5SP02 | Mathematics | Mathematics Version 2.0 | Level 5 | Space

• VC2M1SP02

  give and follow directions to move people and objects to different locations within a space

  Elaborations

  • interpreting and following directions around familiar locations, and understanding the meaning and importance of the words when giving directions; for example, using words like ‘forwards’ and ‘backwards’, ‘straight ahead’, ‘left’ or ‘right’ to describe movement and giving instructions like ‘Keep going straight until you reach the end of this passage and then turn to your right’
  • creating and following an algorithm consisting of a set of instructions to move an object to a different location; for example, role-playing being a robot and following step-by-step instructions given by another classmate to move from one place to another, only moving as instructed
  • following directions to move people into different positions within a line using both ordinal and positional language to describe their position; for example, directly comparing heights and following directions using ordinal and positional language to line up in height order
  • describing a familiar journey across Country/Place using directional language

  VC2M1SP02 | Mathematics | Mathematics Version 2.0 | Level 1 | Space

• VC2M2SP02

  locate positions in two-dimensional representations of a familiar space; move positions by following directions and pathways

  Elaborations

  • interpreting maps of familiar places and identifying the position of key features
  • understanding that we use maps to receive and give directions and to describe place and spatial relationships between places
  • using a classroom seating plan to locate a new seating position and giving directions to other classmates to find their seats
  • following and creating movement instructions that need to be carried out to move through a 4 × 4 grid mat on the classroom floor or on a computer screen, for example, one forward, 2 to the right and one backwards and so on to reach a target square; or using a robotic toy to follow a path on a street scene on a floor mat, adjusting their instructions to the robot toy as they consider the order of their instructions, the direction and how far they want the toy to travel
  • moving around a two-dimensional maze using directional language to describe turns and changes in direction, including saying, for example, ‘clockwise’, ‘anticlockwise’, ‘quarter turn to the left’ and ‘take the path to the right’

  VC2M2SP02 | Mathematics | Mathematics Version 2.0 | Level 2 | Space

• VCRAC040

  Engage with texts such as cartoons, dialogues and fairy tales, and respond by describing aspects such as characters and actions

  Elaborations

  • recalling and/or illustrating main characters and events in texts, or, responding to questions
  • conveying understanding of plot and sequence in texts, such as by re-creating the sequence using a storyboard, labelling key events or creating a timeline
  • discussing reactions to texts such as stories, television programs and songs that reflect the contemporary values of speakers of the language (such as how to respect parents, appreciate diversity or be a good friend)
  • discussing key messages in creative texts, such as the moral of a fable/story, an idea or value in a song, or a quality of a character
  • responding to a creative text by manipulating the original text to create a new version, for example, resequencing events, adding a new element, changing the location or creating an alternative ending
  • writing a review, using modelled language, of a song, story, comic or television program

  VCRAC040 | Languages | Roman Alphabet Languages | F–10 Sequence | Levels 5 and 6 | Communicating | Creating

• VCTRC027

  Notice and describe differences and similarities in ways of using language and interacting with people when communicating in Turkish and in English

  Elaborations

  • explaining to each other why they prefer to use either Turkish or English in particular situations or with particular people
  • noticing similarities and differences in how they use Turkish in different contexts such as at home and in the classroom, for example, using less/more formal language
  • comparing how people speak or refer to other people in Turkish and English, such as to older relatives, classmates or teachers, for example, abla, ağabey, amca, teyze, öğretmenim
  • identifying Australian English terms and expressions that might be difficult to understand for newly arrived Turkish migrants, for example, ‘bushwalking’, ‘Good on you!’
  • comparing their impressions of aspects of children’s lives in different Turkish-speaking regions as represented in video clips, television programs and stories, for example, ways of playing games, preparing and eating food, telling stories or interacting at school, home or in the community

  VCTRC027 | Languages | Turkish | F–10 Sequence | Levels 3 and 4 | Communicating | Reflecting

• VCTRC062

  Consider how their personal biography, including family origins, traditions, interests and experiences, shapes their sense of identity and influences their ways of communicating

  Elaborations

  • creating written, spoken and multimodal texts, such as digital profiles, identity maps, timelines or journals, to describe significant milestones in their lives, and influential people, events or experiences that have helped shape their sense of identity
  • analysing elements of their individual identity which reflect bicultural or multicultural experience and influences, for example, arabesk/pop/özgün/türkü, halay, moda, giyim tarzı, kitap zevki, eğlence tarzı, yemek çeşitleri, futbol takımları
  • reflecting on their ways of communicating and expressing identity across home, school and social contexts, considering reasons for variations they notice
  • reflecting on how their ways of communicating might be perceived by other people, such as teachers, friends or strangers, for example, how they communicate, switch between languages or use body language
  • talking about what they mean by identity, comparing their own and others’ understandings of the concept

  VCTRC062 | Languages | Turkish | F–10 Sequence | Levels 7 and 8 | Communicating | Reflecting

• VCTRU033

  Recognise that languages change over time and that Turkish language is influenced by and also influences other languages and cultures

  Elaborations

  • understanding that Turkish, like all languages, changes over time, for example, in the spelling and pronunciation of certain words, such as alma/elma, ana/anne, karındaş/kardaş/kardeş, cevap/yanıt, tabiat/doğa
  • recognising differences in language use across generations, for example, by comparing words and expressions used by their grandparents and parents, such as sabah şerifleriniz hayırlı olsun, with some of their own expressions, such as günaydın
  • finding English words used in Turkish, such as web sitesi, Twitter, tişört and blucin, considering differences between these and the types of Turkish words used in English
  • identifying loan words from other languages, for example, tren, doktor, baklava, çikolata, sıfır, şeker, tiyatro, balkon, discussing why particular kinds of words are more likely to be adopted

  VCTRU033 | Languages | Turkish | F–10 Sequence | Levels 3 and 4 | Understanding | Language variation and change

• VCTRU012

  Recognise and reproduce the sounds and spellings of Turkish-specific phonemes, /ı/, /ğ/, /ö/, /ü/ /ş/ and /ç/ and make connections between spoken language, alphabetic elements and written forms of the language

  Elaborations

  • becoming familiar with the Turkish alphabet and writing conventions, for example, by identifying sounds and spelling of specific phonemes, such as, /ı/, /ö/, /ü/, /ç/, /ğ/, /ş/ and comparing them with English sounds
  • understanding that intonation patterns create different meanings, as in the distinction between questions, statements and exclamations, geliyor musun? / geliyorsun / gelsene!
  • differentiating between vowel and consonant sounds
  • experimenting with sounds in onomatopoeic words, such as those related to animal sounds, üüürüüü (horoz), miyav miyav (kedi), möö (inek), hav hav (köpek ), cik cik (kuş); comparing with the pronunciation of equivalent animal sounds in English
  • developing pronunciation, phrasing, syllabification and intonation skills by singing, reciting and repeating words and phrases in context

  VCTRU012 | Languages | Turkish | F–10 Sequence | Foundation to Level 2 | Understanding | Systems of language

• VCVIC184

  Reflect on own cultural identity and how it is both shaped by and influences ways of communicating, thinking and behaving

  Elaborations

  • making decisions about relevant information to be included in a cultural identity profile to exchange with non-Vietnamese speakers, for example, deciding what personal details to include such as age, gender and salary, depending on contexts, purpose and relationships
  • reflecting on choices made to present self to others in particular ways or to conceal aspects of identity when interacting across cultures; and noticing differences in the way they communicate, think and behave in different contexts
  • exploring how individual ways of communicating, thinking and behaving help shape views of own cultural identity, for example, why a Vietnamese-Australian teenager who speaks English better than they do Vietnamese and understands more about Australian culture than Vietnamese culture may view themselves as more Australian than Vietnamese
  • comparing and contrasting a Vietnamese and Australian experience, such as a celebration, and considering how their own and others’ identity may shift according to the context

  VCVIC184 | Languages | Vietnamese | F–10 Sequence | Levels 9 and 10 | Communicating | Reflecting

• VCVIC113

  Translate and interpret familiar Vietnamese words, phrases and expressions

  Elaborations

  • interpreting/translating greetings and other learnt words and phrases from Vietnamese into English, for example, cảm ơn (thanks), tạm biệt (goodbye), chào (hello), xin lỗi (sorry)
  • sharing familiar Vietnamese phrases and expressions with friends and interpreting their meaning, for example, Ngày mai gặp lại. Em tên gì? Em tên (là) Nam. Em bao nhiêu tuổi? Em bảy tuổi. Không có chi/gì
  • using Vietnamese and English to name familiar objects and conduct simple conversations, translating when necessary to help others understand
  • playing matching games with Vietnamese and English words from Big Books and picture books in print or digital form

  VCVIC113 | Languages | Vietnamese | F–10 Sequence | Foundation to Level 2 | Communicating | Translating

• VCZHC036

  Locate key points in written informative texts, summarising the points to report to known audiences

  Elaborations

  • locating key information in texts such as timetables, calendars, brochures or advertisements, using clues such as organisation of content, for example, 星期一，星期二 etc. listed on the top row of a timetable
  • reading familiar texts, such as shopping catalogues, understanding key phrases such as 八折, and working out the final price of an item
  • recognising markers of time (for example, 第二天) in a sequence of events to monitor information flow and assist with reading for overall meaning
  • creating a poster to convey information to Chinese peers (for example, about a local city or popular tourist site) with pictures, maps, data, words and sentences
  • selecting from word lists to create informative texts such as signs, slogans and notices, using electronic tools such as a digital dictionary to extend own expression

  VCZHC036 | Languages | Chinese | Second Language Learner | F–10 Sequence | Levels 5 and 6 | Communicating | Informing

• VCZHC066

  Sustain and extend written exchanges about places, future plans, and contemporary social issues and activities

  Elaborations

  • introducing a topic or issue for discussion with others (for example, the importance of China to Australia’s economy, the growth of Chinese tourism in Australia, or ways to promote a better understanding of China in Australian schools), and leading the discussion in a manner likely to elicit ideas related to possible scenarios or outcomes
  • referring to information stated, or requesting or providing further details in order to clarify or confirm the ideas or views of others, for example, 你说澳洲人对中国的印象是…
  • discussing issues, suggesting alternative solutions and making decisions using levels of formality and respect appropriate to audience and purpose, for example, 我觉得这样做更适合；…可以吗？
  • following online media conventions and experimenting with terms such as 楼主 to refer to participants of the shared digital space

  VCZHC066 | Languages | Chinese | Second Language Learner | F–10 Sequence | Levels 9 and 10 | Communicating | Socialising

• VCZHC131

  Gather and organise factual information from familiar sources about countries and places

  Elaborations

  • interviewing familiar people, such as parents, teachers, peers and community members, and appreciating their significance as sources of information about Chinese language and culture, identifying possible sources of information beyond the classroom, for example, 我可以问我的妈妈，因为她去过新加坡
  • gathering information by surveying family and friends about languages spoken, country of origin, or participation in cultural events and leisure activities, and displaying information on frequency charts
  • collating key information to share with others, such as summarising and sharing one aspect of a topic to contribute to a group response, for example, experiences of participating in organised activities involving aspects of Chinese culture (龙舟比赛;剪窗花)
  • making connections between images and charts and the content of texts, and identifying key words to locate information, for example, in the chapter titles of a book
  • identifying key structural words to assist in understanding information, for example, in a procedural text

  VCZHC131 | Languages | Chinese | Background Language Learner | F–10 Sequence | Levels 3 and 4 | Communicating | Informing

• VCZHC184

  Create and adapt bilingual texts for different settings and audiences, identifying the contextual and cultural challenges

  Elaborations

  • experimenting with different options, rephrasing until the most suitable meaning is conveyed, for example, translating 同学 as ‘classmate’ then changing it to ‘student’ or ‘peer’ as appropriate in the context （这是我的同学。 and 同学们好）
  • analysing information presented in context and being aware that what is not said also matters （言外之意), for example, 该来的人来了, implying that those who turned up earlier are 不该来的人
  • developing a deep understanding of the subtle meanings and uses of new words/phrases encountered, by comparing the ways in which words, grammar and idioms are explained in different reference sources, for example, how a 成语 is explained in English, compared to in a Chinese dictionary 成语字典 and on a 成语故事 website

  VCZHC184 | Languages | Chinese | Background Language Learner | F–10 Sequence | Levels 9 and 10 | Communicating | Translating