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Result list

• VCVIC008

  Translate and interpret short texts from Vietnamese into English and vice versa, identifying aspects that are similar or different and words or phrases that translate easily or with difficulty

  Elaborations

  • translating information collaboratively and with teacher support, for example, menus, school timetables, directions, and school and public signs or notices, and recognising and explaining similarities and differences in language structures, for example, ga xe lửa/‘train station’, Ngày Làm Sạch Nước Úc/‘Clean Up Australia Day’, quẹo trái/‘turn left’, đi thẳng phía trước/‘go straight ahead’, Em không thích cái nón này, phải không? - Dạ, em không thích or Không, em thích mà/‘You don’t like this hat, do you?’ – ‘No, I don’t’ or ‘Yes, I do’
  • identifying words or phrases that are difficult to translate, for example, food items (bánh chưng, bánh tét, bánh xèo, phở) or traditional customs (cúng ông bà, xin xăm, coi ngày, coi tuổi), and explaining reasons for difficulty, such as lack of equivalent concepts or practices in either language
  • recognising changes required to sentence structure or word use in English–Vietnamese translation, for example, ‘This lesson is too hard to understand’ = Bài học này khó quá, tôi không hiểu được; ‘I can’t help laughing’ = Tôi không thể nhịn cười được
  • learning to use bilingual dictionaries and electronic translation tools, and identifying issues such as multiple meanings of words and the need to consider context or grammatical aspects to select relevant meaning, for example, giấy khen (‘merit certificate’) and hôn thú (‘marriage certificate’); chảy nước mắt (‘to shed tears’) but Hãy xé tờ giấy này đi! (‘Tear this paper off!’); Tôi biết chơi khúc côn cầu (‘I can play cricket’) and Tôi thấy một con dế trong vườn (‘I have seen a cricket in the garden’)

  VCVIC008 | Languages | Vietnamese | 7–10 Sequence | Levels 7 and 8 | Communicating | Translating

• VCZHC209

  Interact with peers and others in familiar and unfamiliar contexts to exchange alternative ideas and perspectives, and to express preferences and opinions

  Elaborations

  • stating opinions on school life, family life, familiar people, experiences and significant personal events (for example, 我最喜欢圣诞节), and indicating preferences with reasons such as 我想去看…电影， 因为听说这个电影很好看
  • engaging in oral and digital discussions on topics of personal interest such as music, TV programs or sports, asking questions to seek ideas, request repetition and clarify meaning (for example, 你说你的生日是明天，是吗？) to enhance mutual understanding, for example, 我不太喜欢听流行音乐，我更喜欢摇滚乐,因为摇滚乐很有力
  • using different ways of expressing apology, appreciation or gratitude, and comparing practices across contexts, considering which term to use in various situations and according to the relationship between participants, for example, 谢谢;辛苦你了; 麻烦你了; 真对不起; 非常感谢
  • notifying teacher of work due in other subject areas, for example, 我有很多数学作业；我星期一有科学测验
  • expressing opinions on lesson activities and learning tools, for example, 我觉得很好玩儿 ；我觉得很有用；我喜欢用网络词典
  • requesting assistance or seeking advice on a feature of language (for example, mobile phone 。中文怎么说， 怎么写（面）这个字呢？), and exploring concepts related to topical and contemporary issues (such as ethnicity and identity, social justice, environment, education and future pathways, technology, and popular culture) through interaction with peers and other Chinese speakers, for example, 我听说现在中国的年轻人很喜欢看韩剧，是这样吗？你也喜欢看韩剧吗？
  • inviting others to contribute to discussions and provide feedback on own ideas (for example, 你不觉得…吗？ 难道…?), and asking questions, acknowledging strengths in others’ arguments and providing evidence to contradict, challenge or rebut alternative views
  • substantiating their position with examples, quotes or statistical data and using 成语 or 谚语, for example, 养不教，父之过父母当然要对孩子的教育负责
  • collaborating to reach agreement by asserting, restating, conceding or negotiating in an appropriate manner (for example, 就算是说…; 尽管如此…), and recapping the main ideas discussed, suggesting a suitable compromise or solution and explaining the reasons behind the final suggestion
  • responding to inquiries in correspondence from overseas peers and via social media by describing the lifestyle of Australian young people, with pariticular attention to unique aspects of Australian culture, for example, 澳大利亚有…，人们生活…
  • engaging with educational social media to document own experiences and achievements by posting a weekly journal or blog for others to read, for example, 本周XX俱乐部足球赛
  • experimenting with ways of expressing ideas in more formal contexts, such as using objective rather than subjective language to recount events, for example, 袋鼠很多 compared with 我看到了很多袋鼠

  VCZHC209 | Languages | Chinese | Background Language Learner | 7–10 Sequence | Levels 9 and 10 | Communicating | Socialising

• VCARU152

  Explore the origins of Arabic and how it has been influenced by and influences other languages

  Elaborations

  • recognising that the Arabic alphabet has similarities with the Aramaic alphabet system (alpha being the first letter, and beta the second), and that the Arabic ordering system أ؛ب؛ج؛د is based on the Aramaic alphabet
  • understanding that many words in Arabic are borrowed from indigenous languages of the Arabic-speaking world, such as Assyrian, Aramaic and Syriac, Phoenician and Berber, for example, أب؛ رأس؛ دم؛ أخ؛ أخت؛ شمس؛ لسان؛ أنا؛ أنت؛ هو؛ نحن؛ كلب؛ بيت؛ سمع؛ كتاب , and regional languages such as Persian, Turkish and Kurdish, for example, بوظة؛ دولاب؛ دولمة؛ بسطرمة؛
  • exploring the meaning of famous names of people and places and reflecting on their origin and on naming systems, such as

    بابل؛ بحرين؛ سوريا؛ بيت لحم؛ موصل؛ لبنان؛ أور؛ بيروت ؛

  • investigating the influence of Arabic on other languages such as Berber, Kurdish, Amharic, Tigrinya, Persian, Pashto, Urdu, Punjabi, Portuguese, Sindhi, Tagalog, Turkish, Spanish, Hindi, Swahili, Somali, Malay and Indonesian, for example, the Arabic word for ‘book’كتاب is used in most of the languages listed
  • identifying languages that were derived from Arabic, for example, Maltese and Nubi

  VCARU152 | Languages | Arabic | F–10 Sequence | Levels 5 and 6 | Understanding | Language variation and change

• VCASFC100

  Explore the concepts of identity, social groupings, relationships, community and place and space, and deaf people’s visual ways of being and negotiating these networks

  Elaborations

  • identifying themselves as members of different groups and describing their relationships with deaf, hard of hearing and hearing students, family members, the larger Deaf community and wider ‘hearing’ world
  • identifying and describing physical markers of identity among deaf people, such as the use of sign language and/or hearing devices such as hearing aids, cochlear implants and FM systems
  • creating a poster depicting their own family and labelling immediate and extended family members as deaf/hearing
  • identifying and discussing family names, given name/s and name signs for themselves and for others
  • exchanging views on how their individual biographies, including family origins, traditions, beliefs, communicative practices, interests and experiences, shape their sense of identity and impact on their ways of communicating
  • building an understanding of the concept of Deafhood and how each individual’s journey of identity development contributes to social relationships and to the formation of community, for example, by creating an individual identity map or a hand map
  • discussing visual ways of being, including interacting, transmitting and receiving information and behaving according to Deaf cultural values, and how these influence group learning and information sharing among Deaf people
  • investigating Deaf cultures around the world and how they shape visual ways of being, for example by considering how Deaf people from different countries and ethnic groups express shared group identity through practices such as gathering formally as a national or international community via opportunities such as Deaf film festivals; performing arts events, for example, Deaf Way; theatrical events; art exhibitions; or sporting events such as ADG, Deaflympics
  • responding to deaf people from different groups and backgrounds who visit and present about their education, families, social networks and sense of community/identity, for example by discussing similarities and differences between visitors’ reported experiences and their own lives
  • identifying the importance of place and space in the Deaf community, exploring why some places and spaces make deaf people feel comfortable or promote a sense of belonging, for example by identifying factors that make a classroom ‘Deaf friendly’, such as U-shape seating, minimisation of window glare/reflection, good lighting and acoustics, flashing lights, suitable interpreter location
  • identifying examples of deaf people’s visual orientation towards the world (‘people of the eye’), such as waving in space or using flashing lights to gain attention, visual applause
  • identifying their own stories, history, roles, responsibilities and links to the Deaf community and considering how these relate to their sense of identity
  • recognising that signed language is a birthright which establishes their identity with respect to the Deaf community and its traditions
  • viewing and creating accounts of their own and each other’s experience and roles in the Deaf community and identifying examples of the different ways of being deaf that they describe
  • discussing behaviour associated with cultural practices and traditions, for example, by discussing the concept of reciprocity as a manifestation of how community members share responsibility for each other’s wellbeing

  VCASFC100 | Languages | Auslan | First Language Learner | 7–10 Sequence | Levels 7 and 8 | Communicating | Identity

• VCIDU013

  Recognise questions, commands and simple subject-focus sentences, and develop vocabulary for people, places and things in their personal world

  Elaborations

  • identifying people using pronouns (ibu, ayah, bapak, adik, kakak), referring to pets (anjing, kucing), and using concrete nouns for objects (buku, tas, pintu)
  • describing possession using word order in familiar phrases, for example, nama saya…, ibu saya…
  • greetings and farewelling others, for example, Selamat pagi/siang/sore/ malam, sampai jumpa
  • specifying location using prepositions, for example, di atas, di bawah, di dalam, di belakang
  • describing actions using simple verbs, for example, makan, duduk, minum, suka, tidur
  • interacting using auxiliary verbs, for example, ada, mau, tahu, boleh, bisa
  • understanding different question words and the anticipated answer, for example, siapa? (people), apa? (objects, actions), di mana? (location), berapa? (quantity)
  • using imperatives to tell others to do something, for example, Duduklah, Lipat tangan, Tepuk tangan
  • referring to numbers of things using cardinal numbers (nol-sepuluh puluh, belas)
  • describing the colour, size, shape and character of a person, place or thing using noun–adjective phrases, for example, buku merah, anjing besar, kucing kecil, bapak tinggi, saya pendek, adik lucu
  • joining words or phrases using conjunctions, for example, dan, tetapi
  • referring to things using demonstratives ini and itu, for example, Ini buku merah
  • negating verbs and adjectives using tidak
  • expressing modality, for example, mau, ingin, boleh, bisa

  VCIDU013 | Languages | Indonesian | F–10 Sequence | Foundation to Level 2 | Understanding | Systems of language

• VCIDU115

  Develop knowledge of vocabulary and structure to extend meanings, such as complex verbs, affixation, a range of cohesive devices and object-focus construction

  Elaborations

  • identifying people by pronouns or titles, for example, Kepala Sekolah, si (diminutive) and nicknames
  • describing the qualities of people using adjectives of character, for example, murah hati, bertanggung-jawab
  • indicating possibility, for example, mungkin, mudah-mudahan, semoga
  • specifying what is being referred to, for example, yang ini, yang itu
  • understanding embedded clauses using yang, for example, Saya belum berkenalan dengan murid yang baru datang dari Australia
  • indicating equivalence using adalah
  • indicating action using transitive verbs, me- verb system (-kan or -i suffix) and their object-focus di- forms
  • showing lack of purpose, for example, jalan-jalan, duduk-duduk, melihat-lihat
  • relating people and position using prepositions, for example, kepada
  • comparing things using comparatives and superlatives, for example, ter-, makin lama…, makin + adjective
  • seeking information using interrogatives and question forms, for example, mengapa, bagaimana, yang mana, untuk apa/siapa, dengan apa/siapa
  • requesting that others do something for own benefit (minta, harap, mohon, tolong); for others’ benefit (silakan)
  • excusing and apologising, for example, permisi dulu, minta maaf, maafkan saya
  • giving advice with suffix -lah, for example, beristirahatlah, tunggulah, nasehat saya, sebaiknya, seharusnya, jangan
  • showing empathy and well-wishing, for example, kasihan, harap cepat sembuh, semoga sukses
  • giving opinion, for example, saya berpendapat bahwa, saya percaya
  • contrasting two ideas using conjunctions, for example, namun, namun demikian, walaupun begitu, meskipun
  • referring to abstract ideas using affixation and nominalisation, for example, belajar/pelajar/pelajaran, kerja/mengerjakan/pekerjaan, sakit/penyakit/kesakitan
  • referring to events and time using frequency markers (for example, sering kali, sekali-sekali, belum pernah, hampir tidak pernah) and time indicators, for example, tadi malam, nanti, nanti sore, sekarang, pada masa depan, yang akan datang, waktu liburan yang lalu
  • referring back to something specific using tersebut

  VCIDU115 | Languages | Indonesian | 7–10 Sequence | Levels 9 and 10 | Understanding | Systems of language

• VC2M10AP01

  explore counting principles, and factorial notation as a representation that provides efficient counting in multiplicative contexts, including calculations of probabilities

  Elaborations

  • applying the multiplication principle to problems involving combinations including probabilities relating to sampling with and without replacement, and representing these using tree diagrams
  • understanding that a set with n elements has 2ⁿ different subsets formed by considering each element for inclusion or not in combination, and that these can be systematically listed using a tree diagram or a table; for example, the set {a, b, c} has 2³ = 8 subsets which are { ∅, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}}
  • using the definition of n! to represent and calculate in contexts that involve choices from a set; for example, how many different combinations of 3 playing cards from a pack? How many if the suits are ignored? How many with and without replacement?
  • performing calculations on numbers expressed in factorial form, such as n!r! to evaluate the number of possible arrangements of n objects in a row, r of which are identical; for example, 5 objects, 3 of which are identical, can be arranged in a row in
    5!3!=5×4×3×2×13×2×1= 20 different ways

  VC2M10AP01 | Mathematics | Mathematics Version 2.0 | Level 10A | Probability

• VC2M5N03

  compare and order common unit fractions with the same and related denominators, including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line

  Elaborations

  • using pattern blocks to represent equivalent fractions; selecting one block or a combination of blocks to represent one whole, and making a design with shapes; and recording the fractions to justify the total
  • creating a fraction wall from paper tape to model and compare a range of different fractions with related denominators, and using the model to play fraction wall games
  • connecting a fraction wall model and a number line model of fractions to say how they are the same and how they are different; for example, explaining 14 on a fraction wall represents the area of one-quarter of the whole, while on the number line 14 is identified as a point that is one-quarter of the distance between zero and one
  • using an understanding of factors and multiples as well as equivalence to recognise efficient methods for the location of fractions with related denominators on parallel number lines; for example, explaining on parallel number lines that 210 is located at the same position on a parallel number line as 15 because 15 is equivalent to 210
  • converting between mixed numerals and improper fractions to assist with locating them on a number line

  VC2M5N03 | Mathematics | Mathematics Version 2.0 | Level 5 | Number

• VCTRU081

  Analyse how grammatical elements, such as rules of agglutination and cohesive devices, impact on more complex elements of text construction and word formation, such as mood, register and tense variation

  Elaborations

  • analysing functions of affixation through the identification of adverbial, adjectival and noun phrases in Turkish idioms and proverbs
  • using compounds in different cases, for example, cep telefonları, Türkiye Cumhuriyeti’ni, Ağrı Dağı’na, Osmanlı İmparatorluğu’nun
  • learning about nominalisation to form complex words such as iş deneyimleri in a range of sentence structures
  • identifying how adverbs/determiners are used for describing people, places and objects in texts, for example, Çamaşırlar kar gibi beyaz oldu, turp gibi bir çocuk, Çocuk gibi ağladı, Buz gibi su içtim, İnci gibi dişleri var, saray gibi bir ev, pamuk gibi bulutlar
  • analysing how some adverbs derived from verbs and adverbial phrases can modify time and manner of action, for example, the adverb /-arak indicates whether the action expressed by another verb is taking place at the same time or before the action it denotes, for example, Koşarak geldi, gülerek gitti; adding the suffix –ce/-ca to the adjective as in dikkatlice and hızlıca
  • distinguishing the two different uses of de/-de as a suffix and as a conjunction, noting the impact on meaning if they are used inaccurately, for example, Araba da ev de İstanbul’da kaldı and Arabada ve evde sigara içmek yasaktır have totally different meanings
  • explaining different uses of the suffix -ki as a relative pronoun in relative clauses, such as Yunus’unkinden, benimki; as a locative suffix, yanımdaki and evdeki, for idiomatic use as in halbuki, mademki, oysaki; and as a conjunction meaning ‘who’, ‘which’ and ‘that’ as in görüyorum ki, biliyorum ki, tabii ki
  • analysing the use of optative endings -(y)eyim, -(y)elim, -(y)in and -sin in first person, for example, alayım, alalım, alın and alsın in different tenses and in sentences to express a request
  • distinguishing between the use of the simple past perfect -di, as in, geldi, gitti and the evidential past perfect tense -miş, as in gelmiş and gitmiş and uyuyormuş
  • comparing the use of the progressive form -(i)yor and the simple present -(i)r and past tense -d(i) of verbs that describe actions
  • understanding when to use formal and informal registers ın dıfferent contexts
  • using a range of complex and complex-compound sentences in different tenses, for example, Ali eşyalarını toplayıp, odasını temizledikten sonra yola çıktı, Ali yola çıkmadan önce eşalarını topladı ve odasını temizledi
  • analysing how a range of noun, verb and adjective endings, such as -daş, -lik and –cı,-li can be used to form new words, for example, tarayıcı, yoldaş, demlik, kirli

  VCTRU081 | Languages | Turkish | F–10 Sequence | Levels 9 and 10 | Understanding | Systems of language

• VCASFC219

  Communicate appropriately and clearly with the teaching team and peers using appropriate Auslan protocols for classroom interaction

  Elaborations

  • following classroom protocols specific to an Auslan context, such as:
    • responding to flashing lights and waving for class attention
    • tapping, pointing and waving for peer attention
    • maintaining eye gaze
    • back-channelling such as nodding
    • limiting the use of voice
    • maintaining a clear line of sight
  • following and using classroom language such as instructions for class routines, for example:
    PLAY GAME. PLEASE STAND UP
    We’re going to play a game; please stand up.
    LOOK-AT-_me PRO1
    Eyes to the front.
    PLEASE WITH-2++
    Please find a partner.
  • using language to facilitate clear communication, such as asking for help or permission, for example:
    PLEASE HELP-_me?
    Can you help me, please?
    G:HANDS-UP PLEASE PRO1 NEED TOILET
    Can I go to the toilet please?
  • showing agreement/disagreement, for example, respectful manner, for example:
    AGREE YES or PRO1 AGREE
    Yes, I agree.
    PRO1 KNOW WHAT MEAN, BUT…
    I know what you mean, but …
    DOUBT
    I’m not sure.
    AGREE-NOT
    I don’t agree …
  • indicating understanding, for example by nodding, or signing SURPRISE, or KNOW++
  • apologising and thanking, for example:
    THANK-YOU HELP-_me
    Thank you for helping me.
    SORRY PRO1 FORGOT
    I’m sorry; it was an accident.
  • asking for repetition or clarification, for example:
    PLEASE SLOW SIGN
    Could you sign that slowly please?
    PRO2 SAY BEFORE WHAT?
    What did you just say, sorry?
  • negotiating turn-taking, for example:
    PRO1 FIRST YOUR-TURN
    It’s my turn first, then your turn.
    

  VCASFC219 | Languages | Auslan | Second Language Learner | 7–10 Sequence | Levels 7 and 8 | Communicating | Socialising

• VCASFC020

  Contribute to class activities and shared learning tasks that involve transacting, planning and problem-solving, using collaborative language

  Elaborations

  • working together in shared tasks such as cooking, craft activities or creating displays, signing questions or statements, for example:
    BOOK WHICH WANT MAKE WHICH? PICK.
    Which recipe do you want to make? You choose.
    PLEASE PRO2 BRING SCISSORS PLUS PAPER?
    Can you please bring scissors and paper?
    
  • negotiating roles and responsibilities and expressing preferences when working on shared projects, using expressions such as I would prefer to do that; What job do you want to do?
    PRO1 FILM PRO2 QUESTION-_her
    I’ll film; you ask her the questions.
    
  • contributing to the development of a set of class rules
  • engaging in activities such as treasure hunts that involve making choices, solving problems and giving and following directions, for example:
    LIBRARY IN DS:turn-right AUSLAN DICTIONARY DS:fat-book SHELF++ THAT. PLEASE BRING-_me
    Go into the library, turn right and the Auslan dictionary will be on the second shelf. Bring that back to me.
    
  • playing games that involve the exchange or discovery of hidden information, using descriptive language and appropriate questioning, for example:
    HAVE BROWN EYES CURLY HAIR?
    Does he have brown eyes and curly hair
    CAN COOK WITH?
    Can you use it for cooking?
    
  • checking on understanding when completing learning activities, for example:
    KNOW WHAT PRO1 MEAN?
    Do you know what I mean?
    THIS PRO2 FINISH THIS?
    Do you think that’s finished now?
    
  • participating in games that involve turn-taking, active watching, memory and information exchange
  • working together in design projects such as short films or displays to demonstrate content knowledge from different curriculum areas, sharing decisions about content, vocabulary and sequencing

  VCASFC020 | Languages | Auslan | First Language Learner | F–10 Sequence | Levels 3 and 4 | Communicating | Socialising

• VCASFU230

  Recognise and use elements of clause structure, such as noun groups/phrases or verb groups/phrases and using conjunctions to join clauses

  Elaborations

  • categorising noun signs into those for people, animals, places or things
  • learning that proper nouns can have a sign name or be fingerspelled
  • recognising different nouns in clauses, including those that are shown with a pointing sign, such as GIRL READ versus PRO3 READ, or VISIT FRIEND versus VISIT PRO3
  • knowing that adjectives describe nouns in different ways, such as how they look (BIG or RED), feel (SOFT or HOT), smell (SMELLY) or sound (LOUD)
  • recognising that a noun group is a group of signs that relate to a person, place or thing that can include elements such as adjectives or numbers
  • recognising that expanding a noun into a noun group enriches meaning
  • identifying verb signs (SIT, EAT, FEEL, WONDER, HAVE) and recognising that they are central to a clause
  • noticing there is no verb ‘to be’ in Auslan, which is a significant difference to English
  • exploring different semantic types of verbs in a text, for example by showing how:
    • doing (WALK, WRITE) and saying (TELL, CALL-OUT, ANNOUNCE) verbs in narrative texts give information about a characters’ actions
    • sensing (SEE, THINK) or possessing (THAT’S-TYPICAL-OF-THEM, OWN) verbs indicate what characters think, feel or own
  • relating verbs identify or describe a noun (for example, HAVE in PRO3 HAVE LONG-HAIR)
  • noticing that some signs modify the meaning of verbs, such as READ CAREFUL and that these are called adverbs
  • contributing examples of signs that tell:
    • when a verb happens (IN-2-WEEKS PRO1 HOLIDAY or WANT LUNCH NOW)
    • where a verb happens (PRO3 RUN FAR or COME HERE)
    • how a verb happens (FAST or SLOW or PRO2 QUICK FINISH)
  • noticing that sometimes Auslan signers have information about how a verb happens through NMFs not separate signs (for example, WRITE-_carelessly)
  • recognising that a verb group is a group of words built up around a verb that may include adverbs which modify the meaning of verbs and that adverbs and DSs can enrich a verb group
  • understanding that a clause is one or more signs expressing a single idea and that a clause has at least one verb, but often one or more nouns as well, for example:
    CALL-_him
    I called him.
    MAN THERE GO-TO POSS3 HOUSE
    That man went to his house.
    BIG MONSTER SCREAM
    A big monster screamed.
    
  • noticing that while word order in sentences is often important for meaning, there is flexibility in word order in Auslan and that because parts of a sentence can be signed simultaneously in Auslan, it is hard to establish word order
  • distinguishing between yes/no questions, wh- questions and statements and their corresponding NMFs

  VCASFU230 | Languages | Auslan | Second Language Learner | 7–10 Sequence | Levels 7 and 8 | Understanding | Systems of language

• 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

• VC2M9A05

  identify and graph quadratic functions, solve quadratic equations graphically and numerically, and use null factor law to solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate

  Elaborations

  • recognising that in a table of values, if the second difference between consecutive values of the dependent variable is constant, then it is a quadratic
  • graphing quadratic functions using digital tools and comparing what is the same and what is different between these different functions and their respective graphs; interpreting features of the graphs such as symmetry, turning point, maximum and minimum values; and determining when values of the quadratic function lie within a given range
  • solving quadratic equations algebraically and comparing these to graphical solutions
  • using graphs to determine the solutions of quadratic equations; recognising that the roots of a quadratic function correspond to the x-intercepts of its graph and that if the graph has no x-intercepts, then the corresponding equation has no real solutions
  • relating horizontal axis intercepts of the graph of a quadratic function to the factorised form of its rule using the null factor law; for example, the graph of the function y=x2-5x+6 can be represented as y=x-2x-3 with x-axis intercepts where either x-2=0 or x-3=0
  • recognising that the equation x2=a, where a>0, has 2 solutions, x=a and x=-a (for example, if x2=39 then x=39=6.245 correct to 3 decimal places, or x=-39=-6.245 correct to 3 decimal places) and representing these graphically
  • graphing percentages of illumination of moon phases in relation to Aboriginal and Torres Strait Islander Peoples’ understandings that describe the different phases of the moon

  VC2M9A05 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra