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• VCHHK137

  Different experiences and perspectives of non-Europeans and their perspectives on changes to society, significant events, ideas, beliefs and values

  Elaborations

  • Australia
    • investigating sources that record the reactions of new arrivals to other countries in this period, for example, responses to the natural environment and climate
    • investigating the experiences of a specific group of arrivals to Australia, for example, convicts in Sydney, Hobart, Brisbane or free settlers in Melbourne, Adelaide, Perth or Darwin
    • describing the impact of this group on the Aboriginal and Torres Strait Islander peoples of the region
    • investigating the differing views of pastoralists and gold miners and how they influenced Victoria
    • examining the experiences of non-Europeans in Australia prior to the 1900s, such as the Japanese, Chinese, South Sea Islanders, Afghans
    • outlining the migration of Chinese to the goldfields in Australia in the nineteenth century and attitudes towards the Chinese as revealed in cartoons, for example, the Mongolian Octopus
  • Asia
    • analysing Commissioner Lin Zexu’s letter to Queen Victoria before the outbreak of the First Opium War 1839-42
    • analysing the ideas that influenced the perspectives of the Society of Righteous Harmonious Fists, Yi He Tuan (The Boxers)
    • comparing and contrast different perspectives about the effect of European colonisation of India or China or Indochina
    • analysing different perspectives of the Russo-Japanese War 1904-05

  VCHHK137 | The Humanities | History | Levels 9 and 10 | Historical Knowledge | The making of the modern world | Australia and Asia

• VCHIU107

  Recognise that Australia is a multicultural society with communities of speakers of many different languages including Hindi, and reflect on the diversity of language practices that characterise members of this multicultural community

  Elaborations

  • recognising the linguistic diversity of the global community, understanding that many people around the world speak more than one language, comparing with the multilingual character of Australian society, for example, by talking about the different languages represented in the classroom and local community
  • exploring the range of languages spoken in Australia, including Aboriginal and Torres Strait Islander languages, for example, by constructing a linguistic profile of their own class or school community
  • recognising that there are many different Indian languages and dialects spoken in India and other regions of the world, such as Hindi, Tamil, Gujarati, Panjabi, Marathi, involving variations in accents, vocabulary and syntax, and that most Hindi speakers also speak other languages
  • comparing their individual language profiles, explaining which languages or dialects they use in their family, social and community lives
  • reflecting on the impact on their personal lives and sense of identity of being bilingual or multilingual
  • explaining the influence of Indian language and culture on their ways of communicating in different situations, for example, by creating a glossary of Hindi words and expressions that they use when communicating in English

  VCHIU107 | Languages | Hindi | 7–10 Sequence | Levels 7 and 8 | Understanding | Language variation and change

• VCHIU052

  Recognise that Hindi has evolved and developed through different periods of influence by other languages and cultures

  Elaborations

  • understanding key influences and stages of development of Hindi over time and through different cultural influences
  • exploring the relationship between Hindi and English across different historical and cultural contexts up to today
  • identifying changes to contemporary forms of Hindi due to the influence of globalisation, technology and intercultural relationships
  • identifying Hindi words derived from other languages, such as चश्मा, borrowed from Persian, क्षेत्र directly from Sanskrit versus खेत from Hindi via Pali/Prakrit
  • recognising the influence of Sanskrit on Hindi and other languages, for example, by identifying Sanskrit words adopted and adapted in different ways in different languages
  • identifying influences from other languages in their own/their family’s use of Hindi, for example, the use of terms associated with social media, popular culture and technology स्क्रीन, माउस
  • understanding that all languages change in response to changing circumstances, for example, the addition of new terms for new inventions or experiences, word-borrowing from other languages or, as in the case of Aboriginal languages and Torres Strait Islander languages, the reversal of language loss through revival and retrieval programs

  VCHIU052 | Languages | Hindi | F–10 Sequence | Levels 5 and 6 | Understanding | Language variation and change

• VCJAU197

  Investigate changes to Japanese and other languages and cultures, identifying factors such as education, media and new technologies, popular culture and intercultural exchange

  Elaborations

  • finding examples of ways in which social and cultural influences impact on languages, for example, the abbreviation of borrowed words in Japanese, such as リモコン or スマホ, or the combination of borrowed words with る、ググる and サボる to make verbs
  • reflecting on changes in their own language(s) and cultures due to influences such as technology and social media, for example, the use of abbreviations in text messaging or the replacement of words by emoticons, and considering possible effects of such changes on kanji acquisition in Japanese and spelling in English
  • exploring the influence of Japanese popular culture in Australia, the Asia region and around the world, such as the influence of Japanese design and technology and the popularity of J-pop, electronic games, anime, manga and cosplay
  • investigating the state and nature of indigenous Japanese languages, considering issues such as language revival and reclamation, and drawing comparisons with Aboriginal languages and Torres Strait Islander languages in Australia

  VCJAU197 | Languages | Japanese | F–10 Sequence | Levels 9 and 10 | Understanding | Language variation and change

• VCJAU162

  Make connections between cultural practices and values and language use, such as formulaic expressions, and consider how these affect intercultural communication

  Elaborations

  • noticing ways in which Japanese language and behaviour reflect values and traditions, for example, reluctance to volunteer or compete for attention in class, responding to compliments じょうず　です　ね。いいえ, and prioritising the group rather than the individual
  • understanding that people ‘read’ intercultural experiences in different ways depending on their cultural perspective, recognising the validity of different perspectives and questioning notions of ‘right’ or ‘wrong’ ideas
  • imagining potential challenges for a visiting Japanese student spending time in an Australian classroom, and identifying phrases, expressions and behaviours that may need explaining, and elements of interaction, such as the use of personal space or volume of voice, that may appear inappropriate
  • reflecting on how different languages and cultures represented in the classroom influence ways of communicating about or relating to social and physical environments, for example, Aboriginal and Torres Strait Islander traditions in relation to place, language and culture
  • identifying and comparing traditional and contemporary cultural images used in Japanese and Australian print and media advertising and tourist brochures, considering when they are used and what message they convey
  • noticing similarities and differences between their own ways of communicating and observed interactions between young Japanese speakers in contexts such as everyday social situations or online forums, for example, responding to offers of food or drink, turn-taking in conversations

  VCJAU162 | Languages | Japanese | F–10 Sequence | Levels 5 and 6 | Understanding | Role of language and culture

• VCJAU161

  Recognise that the Japanese language is both influenced by in turn influences other languages and cultures

  Elaborations

  • exploring how the Japanese language is influenced by other languages and cultures, for example, in relation to food パン、スパゲッティー、クレープ、ハンバーガー, music and sport ミュージカル、ロック、ダンス、サッカー、バスケットボール, and technology パソコン、メール、インターネット
  • investigating the influence of Japanese language and culture on their own language and experience, for example, by creating a glossary of Japanese words and expressions used in fields such as martial arts (‘judo’, ‘karate’, ‘sensei’, ‘sumo’), food (‘sushi’, ‘tofu’, ‘wasabi’) or communication/culture (‘haiku’, ‘anime’, ‘manga’, ‘sudoku’)
  • understanding that there are Japanese-speaking communities outside Japan, for example, in Hawaii and South America, and that Japanese is widely taught in many countries around the world, including Australia and other countries of the Asia-Pacific region
  • understanding that all languages change, that some are constantly growing and expanding while others are disappearing or being revived, for example, many indigenous languages, including Aboriginal languages and Torres Strait Islander languages

  VCJAU161 | Languages | Japanese | F–10 Sequence | Levels 5 and 6 | Understanding | Language variation and change

• VCLVC179

  Interpret and respond to texts by sharing personal reactions, comparing themes, describing and explaining aspects of artistic expression and how these relate to land, sky, sea, water, people, plants, animals and social and ecological relationships

  Elaborations

  • listening to respected community speakers tell stories on Country/Place, interpreting signs and gestures and using correct protocols to ask clarifying questions and to find out about the cultural role of storytelling
  • interpreting and responding to texts such as songs, stories, films or video clips by recording key vocabulary and expressions, identifying and explaining main ideas, themes and sequences of events, for example, by sharing personal reactions with others
  • discussing how key messages and beliefs are communicated through stories and visual and creative arts, for example, comparing the role and representation of animals, people and landscapes in different expressive forms
  • discussing and explaining how land, sky, sea, people, plants, animals and social and ecological relationships are expressed through the arts
  • investigating traditional and contemporary arts, including paintings, weavings, artefacts, and identifying how they relate to or express elements of Country/Place and people
  • listening to, viewing and comparing personal responses to popular music, identifying key messages, themes and performance styles,, and considering how they incorporate social commentary
  • discussing how stories and songs often link neighbouring Aboriginal groups and nations
  • retelling stories belonging to Country/Place

  VCLVC179 | Languages | Victorian Aboriginal Languages | Levels 7 to 10 | Communicating | Creating

• VC2M10A15

  use mathematical modelling to solve applied problems involving inverse proportion, growth and decay, including in financial contexts to establish the compound interest formula as repeated applications of simple interest; formulate problems, choosing to apply linear, quadratic or exponential models...

  Elaborations

  • modelling problems involving inverse proportion in real-life contexts such as travel time decreasing with increased travel speed, the brightness of luminous objects decreasing with distance, or household expenditure and savings, and solving related equations
  • modelling situations and choosing between linear, quadratic and exponential models by representing relationships in a table of values and recognising that linear functions have constant first differences, quadratic functions have constant second differences and exponential functions have a constant ratio between consecutive values of the dependent variable
  • modelling situations involving exponential growth and decay, and contrasting this with linear growth or decay, for example, situations involving constant percentage change and constant ratio, and determining doubling time and half-life and approximate intervals for which the values of the model lie within a given range
  • modelling situations that involve working with authentic information, data and interest rates to calculate compound interest and solve related problems
  • modelling and investigating how exponential equations are used in carbon dating to estimate the age of Aboriginal and Torres Strait Islander artefacts or material culture
  • modelling situations involving the growth of native animal populations on Country/Place with varying reproductive behaviour, using exponential functions and critiquing their applicability to real-world situations

  VC2M10A15 | Mathematics | Mathematics Version 2.0 | Level 10 | Algebra

• VC2M3A01

  recognise and explain the connection between addition and subtraction as inverse operations, apply to partition numbers and find unknown values in number sentences

  Elaborations

  • partitioning numbers using materials, part-part-whole diagrams or bar models, and recording addition and subtraction facts for each representation, explaining how each fact is connected to the materials, diagrams or models (for example, 16 + 8 = 24, 24 − 8 = 16, 8 = 24 − 16)
  • using the inverse relationship between addition and subtraction to find unknown values with a calculator or by counting on; for example, representing the problem ‘Peter had some money and then spent $375. Now he has $158 left. How much did Peter have to start with?’ as □ − $375 = $158 and solving the problem using $375 + $158 = $533; or solving 27 + □ = 63 using subtraction, □ = 63 – 27, or by counting on 27, 37, 47, 57, 60, 63, so add 3 tens and 6 ones, so □ = 36
  • exploring Aboriginal and/or Torres Strait Islander Peoples’ stories and dances that show the connection between addition and subtraction, representing this as a number sentence and discussing how this conveys important information about balance in processes on Country/Place

  VC2M3A01 | Mathematics | Mathematics Version 2.0 | Level 3 | Algebra

• VC2M10ASP06

  design, test and refine solutions to spatial problems using algorithms and digital tools; communicate and justify solutions 

  Elaborations

  • designing and making scale models of three-dimensional objects using digital tools; for example, making components of a puzzle using a three-dimensional printer, and planning and designing the puzzle using principles of tessellations
  • applying a computational thinking approach to solving problems involving networks, for example, connectedness, coverage and weighted measures, such as taking different routes and choosing the most efficient route to take when travelling by car using virtual map software 
  • defining and decomposing spatial problems, creating and applying algorithms to generate solutions, and evaluating and communicating solutions in terms of the problem; for example, designing a floor plan for a department store that limits congestion at key areas such as check-outs, changing rooms and near popular sale items
  • designing, creating and testing algorithms using pseudocode or flow charts for producing self-similar patterns; and validating algorithms using a range of test cases to compare their output
  • exploring geospatial technologies used by Aboriginal and/or Torres Strait Islander communities, to consider spatial problems including position and transformation

  VC2M10ASP06 | Mathematics | Mathematics Version 2.0 | Level 10A | Space

• VC2MFN03

  quantify and compare collections to at least 20 using counting and explain or demonstrate reasoning

  Elaborations

  • establishing the language and process of counting, and understanding that each object must be counted only once, that the arrangement of objects does not affect how many there are and that the last number counted answers the question of ‘How many?’; for example, saying numbers in sequence while playing and performing actions
  • using counting to compare the size of 2 or more collections of like items to justify which collection contains more or fewer items
  • using counting and one-to-one correspondence to quantify the number of items required for a purpose; for example, when asked to collect enough scissors for each member of their group to have a pair, counting each member and using the total count to know how many to collect
  • discussing how different cultures may have alternative ways of representing the count; for example, discussing how some people of the Asia region use an abacus or Chinese hand gestures
  • using body-tallying that involves body parts and one-to-one correspondence from counting systems of Aboriginal and/or Torres Strait Islander Peoples to count to 20

  VC2MFN03 | Mathematics | Mathematics Version 2.0 | Foundation Level | Number

• VC2MFN05

  represent practical situations, including simple financial situations, involving addition, subtraction and quantification with physical and virtual materials and use counting or subitising strategies

  Elaborations

  • using role-play and materials to represent mathematical relationships in stories; for example, role-playing ‘Eight kangaroos were drinking at the river and 3 hopped away’, drawing a picture and using materials to represent the situation, discussing, and recording the result of the action with a numeral
  • role-playing or actively engaging in situations that involve quantifying or comparing collections of items or simple money transactions; for example, engaging with the question ‘Do we have enough scissors for our group so that each person has their own pair?’, or role-playing using $1 coins to pay for items in a shop where items are priced in whole dollars
  • representing situations expressed in Aboriginal and/or Torres Strait Islander stories, such as ‘Tiddalick, the greedy frog’, that describe additive situations and their connections to Country/Place
  • representing addition and subtraction situations found in leaf games involving sets of objects used to tell stories, such as games from the Warlpiri Peoples of Yuendumu in the Northern Territory

  VC2MFN05 | Mathematics | Mathematics Version 2.0 | Foundation Level | Number

• VC2MFN01

  name, represent and order numbers, including zero to at least 20, using physical and virtual materials and numerals

  Elaborations

  • responding to a request to collect a quantity of objects or reading a numeral and selecting the associated quantity of items from a collection to match the number required; for example, collecting 9 paintbrushes after hearing the word ‘nine’
  • recognising the order in the sequence of numbers to 20 and identifying the number that is ‘one less’ than a given number and the number that is ‘one more’; for example, playing instructive card games that involve reading and ordering number cards, or using counting songs, storybooks and rhymes to establish the forwards and backwards counting sequence of numbers in the context of active counting activities
  • understanding and using terms to indicate ordinal position in a sequence; for example, filling in the missing term in ‘first’, ‘second’, ‘third’, … ‘fifth’ …, or creating a number track using cards with the numerals zero to 20 and describing positions using terms such as ‘first’, ‘last’, ‘before’, ‘after’ and ‘between’
  • recognising, writing and reading numerals written on familiar objects; for example, recognising and reading numerals in images, text or illustrations in storybooks, or writing a numeral on a container as a label to show how many objects it contains
  • connecting quantities to number names and numerals when reading and reciting stories and playing counting games or determining and reasoning about the size of sets of objects within Aboriginal and/or Torres Strait Islander Peoples’ instructive games, for example, Segur etug from Mer Island in the Torres Strait region

  VC2MFN01 | Mathematics | Mathematics Version 2.0 | Foundation Level | Number

• VC2MFST01

  collect, sort and compare data represented by objects and images in response to given investigative questions that have only 2 outcomes and relate to familiar situations

  Elaborations

  • using data displays to answer simple questions such as ‘How many students answered “yes” to having pets?’
  • collecting and deciding how to organise data to answer yes/no questions; for example, in relation to the question ‘Do more people in our class today have shoes with laces than without?’, explaining that lining up and matching shoes with and without laces one-to-one will answer the question
  • collecting data through everyday activities or events and sorting the collected data; for example, sorting toys into categories such as ‘toys that move’ and ‘toys that don’t move’
  • creating classroom charts and rosters using stickers to represent data; and comparing and interpreting the representations
  • investigating statistical contexts after reading a story; for example, after reading The Waterhole by Graeme Base, asking and responding to questions like ‘What different animals did you see?’, ‘How many different types of animals were there?’ or ‘Were there more tigers or kangaroos?’
  • exploring what and how information from the environment is collected and used by Aboriginal and/or Torres Strait Islander Peoples to predict weather events

  VC2MFST01 | Mathematics | Mathematics Version 2.0 | Foundation Level | Statistics

• VC2M7M03

  describe the relationship between $\pi$ and the circumference, radius and diameter of a circle

  Elaborations

  • recognising the features of circles and their relationships to one another; for example, labelling the parts of a circle including centre, radius, diameter and circumference and using one of radius, diameter or circumference to determine the measure of the other 2; and understanding that the diameter of a circle is twice the radius, or that the radius is the circumference divided by $2\pi$
  • comparing the circumference of circles in relation to their radius and diameter with materials and measuring, to establish measurement formulas; for example, using a compass to draw several circles, then using string to approximate the circumference, comparing the length of string to the diameter of the circle
  • investigating $\pi$ as the constant in the proportional relationship between the circumference of a circle and its diameter, and historical approximations from different civilisations, including Egypt, Babylon, Greece, India and China
  • investigating the applications and significance of circles in everyday life of Aboriginal and Torres Strait Islander Peoples, such as in basketry, symbols and architecture, recognising the relationships between the centre, radius, diameter and circumference

  VC2M7M03 | Mathematics | Mathematics Version 2.0 | Level 7 | Measurement

• VC2M4M01

  use scaled and digital instruments to interpret unmarked and partial units to measure and compare lengths, masses, capacities, durations and temperatures, using appropriate units

  Elaborations

  • reading the mass of objects measured with digital and analog kitchen scales and explaining what unit of mass the lines on the analog scales refer to
  • deciding on which attribute, unit and measuring instrument to use to compare the length and mass of various things, such as the distance travelled by an object in a science investigation; and explaining the use of units such as grams or millimetres to give accurate measures when needed
  • using scaled instruments such as tape measures, measuring jugs, kitchen scales and thermometers to record measures using whole units (for example, 560 millimetres) or whole and part units (for example, 5.25 metres, 1.75 litres, 2.5 kilograms, 28.5° Celsius)
  • reading and interpreting the scale of an analog clock without marked minutes to estimate the time to the nearest minute and to determine the duration of time between events
  • using the timer or alarm function of a clock to alert when a specified duration has elapsed from a given starting time, for example, for the different activities of an exercise routine
  • making a scaled measuring instrument such as a tape measure, ruler, sand timer, sundial or measuring cup using scaled instruments and direct comparisons
  • exploring the different types of scaled instruments used by Aboriginal and/or Torres Strait Islander ranger groups and other groups to make decisions about caring for Country/Place, and modelling these in local contexts

  VC2M4M01 | Mathematics | Mathematics Version 2.0 | Level 4 | Measurement

• VC2M5M02

  solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units

  Elaborations

  • investigating problem situations involving perimeter, for example, ‘How many metres of fencing are required around a paddock, or around a festival event?’
  • using efficient ways to calculate the perimeters of rectangles, such as adding the length and width together and doubling the result
  • solving measurement problems such as ‘How much carpet would be needed to cover the entire floor of the classroom?’, using square metre templates to directly measure the floor space
  • creating a model of a permaculture garden, dividing the area up to provide the most efficient use of space for gardens and walkways, labelling the measure of each area, and calculating the amount of resources needed, for example, compost to cover the vegetable garden
  • using a physical geoboard or a virtual geoboard app to recognise the relationship between area and perimeter and solve problems; for example, investigating what is the largest and what is the smallest area that has the same perimeter
  • exploring the designs of fishing nets and dwellings of Aboriginal and Torres Strait Islander Peoples, investigating the perimeter, area and purpose of the shapes within the designs

  VC2M5M02 | Mathematics | Mathematics Version 2.0 | Level 5 | Measurement

• 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