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• VC2M8M06

  use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles

  Elaborations

  • discussing and comparing different applications, demonstrations and proofs of Pythagoras’ theorem, from Egypt and Mesopotamia, Greece, India and China, with other historical and contemporary applications and proofs
  • using Pythagoras’ theorem to determine unknown lengths of sides in right-angled triangles and finding lengths of sides of right-angled triangles in practical applications
  • recognising the relationship between the squares of lengths of sides for different types of triangles: right-angled, acute or obtuse
  • identifying Pythagorean triples, such as (3, 4, 5), (5, 12, 13), (7, 24, 25) and (8, 15, 17)

  VC2M8M06 | Mathematics | Mathematics Version 2.0 | Level 8 | Measurement

• VCDEC156

  Interact in classroom activities and discussions through asking and responding to open-ended questions, giving opinions and making suggestions

  Elaborations

  • initiating interactions in a class or group activity, such as by assigning roles to others, for example, Patrick, du kannst den Text schreiben! Sarah, du machst die Fotos!
  • stating a problem and asking for advice, for example, Ich habe mein Passwort vergessen. Was soll ich machen? Wie lernt man am besten Vokabeln?
  • discussing and sharing learning strategies, for example, Lerne jeden Tag zehn neue Wörter! Ich lerne Vokabeln am besten, wenn ich sie in einem Satz schreibe.
  • participating in classroom activities and discussions to manage shared learning experiences, considering and commenting on the contributions and views of others, for example, Ja, das stimmt.; Sie hat Recht.; Ich bin anderer Meinung.

  VCDEC156 | Languages | German | F–10 Sequence | Levels 7 and 8 | Communicating | Socialising

• VCZHU240

  Explore assumptions and challenges for language use in new environments, identifying and comparing ways in which sensitive topics are introduced and discussed across languages, for example, comparing the Chinese custom of asking direct questions about age, income and other personal matters with...

  Elaborations

  • recognising clichés, examining cases of ‘breaking’ a cliché and the impact it might have, such as 脑筋建转弯 questions
  • identifying how language use can be varied for different participants in different contexts, for example, the use of slang and abbreviations between teenagers
  • using classical terms and expressions including 成语、歇后语、俗语 appropriate to context, such as using 亭亭玉立 to describe young girls
  • discussing ‘taboo’ terms across languages, and using terms suitable for the context, such as different words for 死 (‘to die’), for example, 驾崩 (皇帝)、 仙逝 （长辈 ) 、去世（一般人) 、香消玉殒 (女性)

  VCZHU240 | Languages | Chinese | First Language Learner | 7–10 Sequence | Levels 7 and 8 | Understanding | Language variation and change

• VC2M8P02

  determine all possible outcome combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific events in practical situations

  Elaborations

  • describing events using language of ‘at least’, exclusive ‘or’ (A or B but not both), inclusive ‘or’ (A or B or both) and ‘and’
  • using the relation Pr(A and B) + Pr(A and not B) + Pr(not A and B) + Pr(not A and not B) = 1 to calculate probabilities, including the special case of mutually exclusive events where Pr(A and B) = 0
  • using Venn diagrams or two-way tables to demonstrate the difference between events that are mutually exclusive, such as whether a coin toss will land on a head or a tail, and those that are not mutually exclusive, such as people who have blonde hair and people who have blue eyes
  • exploring Aboriginal and/or Torres Strait Islander children’s instructive games, for example, Battendi from the Ngarrindjeri Peoples of Lake Murray and Lake Albert in southern Australia, applying possible combinations and relationships and calculating probabilities using two-way tables and Venn diagrams

  VC2M8P02 | Mathematics | Mathematics Version 2.0 | Level 8 | Probability

• VCTRU098

  Recognise and use key elements of Turkish grammar, such as word order, positions of adjectives, adverbs and postpositions and sentence structures, recognising how grammatical forms and functions are represented through agglutination

  Elaborations

  • understanding and responding to instructions by learning the subject–object–verb word order in simple and complex statements, imperatives and questions, such as Ali topu attı, Ali topu al ve at! and Ali topu Tarkan dan sonra bana atar mısın?
  • learning the conditions that apply to the use of familiar and formal second person singular forms -n and -n(ı)z, for example, yemeğin hazır, yemeğiniz hazır and second person pronouns, sen and siz as well as different honorifics, such as Teyze/Amca, Hanım/Bey, as in Serren Teyze and Doktor Hanım
  • using a range of common interrogative word endings and pronouns, for example, Haftada kaç kez … yapıyorsun? … hakkında ne düşünüyorsun? Lütfen kendinizi bize tanıtır mısınız? Bu sayfayı mı okuyacaktık? Bunu nasıl yapacağız? Tekrar eder misiniz?
  • recognising and using a range of common compounds such as çevre kirliliği, geri dönüşüm, Türk halıları in different sentences
  • recognising common idiomatic expressions and proverbs, for example, samanlıkta iğne aramak, kulak misafiri olmak, Bir lisan, bir insan, Bir elin nesi var, iki elin sesi var
  • recognising passive voice endings in simple instructions, for example, mektuba hitap ile başlanır, elektronik mesajda kısaltmalar kullanılır
  • applying the rule of great vowel harmony when adding nominal case endings -(e), -(i), -d(e), -d(e)n to different nouns, such as ev-e, ev-i, ev-de, ev-den
  • understanding and recognising simple verb tenses, using negation and affirmation and suffixes to form simple and compound sentences, for example, biliyorum/bilmiyorum, okur/okumaz, uyudu/uyumadı, geleceğim/gelmeyeceğim, gitmiş/gitmemiş
  • recognising and using appropriate endings and sentence structures for subject–verb agreement in simple and compound sentences, for example, Taylan yemeğini yedi, Defne yemekten sonra ödevini yaptı ve uyudu
  • recognising and using verbal conjugations and nominal declensions through common noun- and adjective-forming suffixes, such as -(a)l as in san-al, -(a)y as in dene-y, -(a)k as in sol-ak and kur-ak, -(c)a as in çocuk-ça, binler-ce, İngiliz-ce, güzel-ce, -(d)aş / (d)eş as in kar-deş, -(h)ane as in hasta-hane -(ç)ı as in kebapçı, simitçi, eskici
  • using a range of adjectives, adverbs and postpositions to describe actions, places and people, for example, mavi köşkte, Kısa saçlı biriydi, Çok dikkatli yürü, Dün sabah geldi, learning the correct written form of suffixes, for example, using the written form geleceğim and alacaksın instead of the spoken and colloquial use of predicates gelcem, alcan; using the correct spelling geliyorum instead of geliyom
  • building metalanguage to talk about grammar, using terms such as bağlaçlar, özne ve yüklem uyumu, -de/-da ekler, ilgi zamiri -ki, edatlar
  • understanding and using the conditional marker -s(e) and/or the word eğer in compound sentences, for example, Eğer kitap okursan hayal gücün gelişir

  VCTRU098 | Languages | Turkish | 7–10 Sequence | Levels 7 and 8 | Understanding | Systems of language

• VCIDC055

  Identify, summarise and evaluate factual information related to topics of interest such as leisure, food and diet, entertainment and special occasions

  Elaborations

  • gathering data from class surveys, social networking profiles, realia and charts to use in own texts, for example, synthesising information for a report or presentation
  • listening to, reading and viewing (digital) invitations, cards and messages, and responding to them
  • engaging with simple texts such as magazines, interviews, announcements and websites to gather facts about events or people, and reporting information to others, for example, using a timeline to show a sequence of events or create a profile of a famous Indonesian
  • analysing and summarising information from reports, posters, websites, itineraries and brochures, using tools such as concept maps and tables to organise and present information
  • comparing details from a range of texts about special occasions and ceremonies, and discussing culture-specific terms and representations

  VCIDC055 | Languages | Indonesian | F–10 Sequence | Levels 7 and 8 | Communicating | Informing

• VCJAC166

  Access, summarise and reorganise information obtained from a range of texts on a variety of topics, and present it in different formats

  Elaborations

  • gathering, classifying and summarising information from class surveys, realia, notices, timetables and announcements, and presenting findings in formats such as digital presentations, posters, wall charts or oral summaries
  • identifying key details, expressions and information in authentic or modified texts, for example, signs, weather reports, print advertisements, menus, packaging, brochures or websites, and using the information to create their own texts for specific purposes and audiences
  • listening for key points of information and cultural references in short spoken or recorded texts such as phone messages, announcements or weather reports, and transposing them to note form for their own reference or to communicate to others
  • collating information from sources such as magazine articles, recorded interviews or website postings about high-profile individuals or events to edit and represent in timelines or profiles on a shared database
  • drawing on content, language, images and presentation formats from a range of Japanese media resources to design posters or leaflets on topics such as environmental sustainability or youth-related issues

  VCJAC166 | Languages | Japanese | F–10 Sequence | Levels 7 and 8 | Communicating | Informing

• VCRAC055

  Identify, summarise and evaluate factual information related to topics of interest such as leisure, food and diet, entertainment and special occasions

  Elaborations

  • gathering data from class surveys, social networking profiles, realia and charts to use in own texts, for example, synthesising information for a report or presentation
  • listening to, reading and viewing (digital) invitations, cards and messages, and responding to them
  • engaging with simple texts such as magazines, interviews, announcements and websites to gather facts about events or people, and reporting information to others for example, by using a timeline to show a sequence of events or creating a profile of a famous speaker of the language
  • analysing and summarising information from, for example, reports, posters, websites, itineraries and brochures, using tools such as concept maps and tables to organise and present information
  • comparing details from a range of texts about special occasions and ceremonies, and discussing culture-specific terms and representations

  VCRAC055 | Languages | Roman Alphabet Languages | F–10 Sequence | Levels 7 and 8 | Communicating | Informing

• VCDEC008

  Translate and interpret texts such as greetings, signs, emails and conversations, from German to English and vice versa, noticing similarities and differences

  Elaborations

  • translating short personal texts, identifying words and phrases that can be translated literally and those that cannot, for example, Guten Appetit! Guten Tag! Ohrwurm
  • using German–English cognates to predict meaning, for example, Brot/‘bread’, kalt/‘cold’, trinken/‘to drink’
  • recognising compound words, and collecting and analysing interesting examples (der Schulsport, die Realschule, babyleicht), noting that compound nouns take the gender of the last noun in the compound
  • translating public signs from German to English and vice versa, noticing similarities and differences
  • interpreting for and explaining to peers and family members aspects of German language and culture (in texts such as emails and conversations) that are interesting and/or different, for example, that when addressing teachers in German you use family names after the titles Frau and Herr, unlike the English use of just ‘Miss’ or ‘Sir’

  VCDEC008 | Languages | German | 7–10 Sequence | Levels 7 and 8 | Communicating | Translating

• VCDEU017

  Understand that language use is shaped by and reflects the values, ideas and norms of a community

  Elaborations

  • investigating connections between language and significant cultural values or practices in Australia and German-speaking countries, for example, individual rights, shared social responsibility, respect for the environment, Reconciliation, anti-racism, ‘fair go’
  • developing language to analyse and explain the nature of the relationship between language and culture, using terms such as ‘meaning’, ‘perspective’, ‘values’, ‘assumptions’ and ‘difference’
  • examining examples of cultural representation in language, symbols and behaviour, such as die Märchenstraβe, (lack of) speed limits on the Autobahn, national flags, and the ‘visibility’ of the European Union through placement of its logo (for example, on car numberplates)
  • recognising that there are different and/or multiple expressions that communicate ideas across cultures, for example, when describing Brot or school excursions (Klassenfahrt, Wandertag)
  • exploring how origin, geography and religion are directly connected to lifestyle, daily practices and language use, for example, Recycling, Kaffee und Kuchen, Wandern, religious/public holidays, choice of Fremdsprachen offered in schools
  • participating in guided discussion on the nature and role of ‘culture’ and its relationship with language, with reference to German, English and other known languages

  VCDEU017 | Languages | German | 7–10 Sequence | Levels 7 and 8 | Understanding | Role of language and culture

• VCDEU016

  Recognise that German and English are related languages and that German is an important European and global language

  Elaborations

  • noticing that German and English share many words, for example, Computer, Bus, Taxi and Auto, and understanding that this is a result of historical events as well as the dynamic nature of languages
  • recognising that English and other languages have borrowed German words, for example, Hamburger, kaputt, Kindergarten, Glockenspiel and Mischmasch, and comparing how these words are pronounced by German and English speakers
  • understanding that English grammar used to be more similar to German grammar but that English has changed, for example, recognising the link between the Middle English ‘What thinkest thou?’ and Was denkst du?
  • recognising that the German language continuously borrows and adapts words and expressions from other languages, including English, for example, das Internet, die App, häppi, joggen, shoppen, simsen/texten, Stopp! and Sorry!
  • recognising that German is an official language of the ‘DACHL’ countries (Germany, Austria, Switzerland and Liechtenstein) as well as in Belgium, Luxembourg and South Tyrol

  VCDEU016 | Languages | German | 7–10 Sequence | Levels 7 and 8 | Understanding | Language variation and change

• VCESC165

  Engage in class activities and discussions through asking and responding to open-ended questions, and expressing or rejecting points of view

  Elaborations

  • using simple and compound sentences and cohesive devices such as Al principio... y luego... porque... por otro lado. Lo importante es...; pienso que... to structure arguments and to explain or justify a position, for example, Pienso que debemos conservar los idiomas Indígenas porque reflejan las culturas
  • initiating and extending conversations and discussion, for example, by using open-ended questions such as ¿Qué pasa? ¿Dónde pasarán las vacaciones? and connectives such as pero, si, entonces, cuando and por eso
  • inviting others to give opinions or make suggestions (¿Qué te pareció la película?, ¿Qué quieres comer?), and using reflective language as set phrases to report and reflect on the experience of learning and using Spanish, for example, Cuando hablo español muevo las manos más. Me gusta el ritmo del español hablado

  VCESC165 | Languages | Spanish | F–10 Sequence | Levels 7 and 8 | Communicating | Socialising

• VCESC163

  Participate in a range of spoken, written and online interactions, for example, exchanging views and experiences, apologising, thanking, inviting or congratulating

  Elaborations

  • using the appropriate register when interacting in different social situations such as making enquiries and offering thanks, apologies or compliments, for example, Lo siento mucho, ¡Le deseo mucha suerte!, ¡Muchísimas gracias por tu ayuda!
  • exchanging personal information about each other’s lives, routines and experiences, for example, A mi amigo español le gusta el chocolate con nata
  • engaging in informal conversations or more structured discussions to canvas one another’s attitudes to social and cultural issues such as La salud de los jóvenes, Las relaciones familiares
  • developing narrative skills by exchanging accounts of individually significant events, influences or milestones, for example, El año pasado fui con mis padres al Museo Nacional y me impresionó todo lo que los Indígenas construyeron

  VCESC163 | Languages | Spanish | F–10 Sequence | Levels 7 and 8 | Communicating | Socialising

• VCESC172

  Reflect on intercultural communication, commenting on perceived similarities and differences in language used and on aspects of culture

  Elaborations

  • reflecting on experiences of authentic or virtual interaction in Spanish, for example, face-to-face interactions with community members through an excursion, or web-chatting, ePal or social networking, identifying moments of enjoyment, discomfort and successful intercultural communication
  • keeping a journal of experiences (humorous, satisfying or challenging) associated with learning and using Spanish, noting personal reactions and reflections over time
  • comparing own and others’ experiences of successful intercultural communication, identifying elements that required flexibility and cultural understanding, for example, responding to different ways of expressing feelings, levels of directness or culturally determined perspectives
  • noticing the impact of own assumptions when engaging with Spanish-language texts and experiences, and considering what assumptions Spanish speakers might hold about Australian people and associated cultural behaviours
  • finding examples of how language reflects cultural concepts and values across the Spanish-speaking world, for example, religious references in sayings such as Al que madruga Dios le ayuda, Bendito sea … Adiós, or changes to language forms that reflect changes in social values, such as the adoption of some feminine forms of professional titles (La doctora/el doctor, la abogada/el abogado, la jefa/el jefe)

  VCESC172 | Languages | Spanish | F–10 Sequence | Levels 7 and 8 | Communicating | Reflecting

• VCESC164

  Engage in collaborative tasks, activities and experiences that involve negotiation, making arrangements, problem-solving and transacting

  Elaborations

  • planning and participating in learning experiences such as preparing a class outing or community performance or shopping for a lunch, stating preferences, negotiating, considering alternatives and agreeing or disagreeing, for example, Prefiero no ir a la playa contigo, Tengo ganas de ir al cine…Estoy de acuerdo contigo… Estoy en desacuerdo contigo…
  • participating in situations that involve transactions and the exchange of ideas and preferences, for example, arranging to host students on an exchange program or returning damaged articles
  • engaging in collaborative projects such as designing a web page or making a short documentary about a subject such as Mi comunidad
  • planning and completing tasks that involve asking for, giving and following directions to real or virtual locations (siga derecho... toma el bus hasta el lago… gira a la izquierda…), using resources such as digital devices, apps, street maps or directories

  VCESC164 | Languages | Spanish | F–10 Sequence | Levels 7 and 8 | Communicating | Socialising

• VCITC096

  Socialise with peers and adults to exchange greetings, good wishes, factual information and opinions about self, family and friends, routines, shared events, leisure activities, interests, likes and dislikes

  Elaborations

  • greeting others, introducing themselves, expressing state of health and wellbeing, appreciation and good wishes, and leave-taking, using appropriate familiar or formal language, for example, Mi chiamo … e tu? Come ti chiami? Ho 12 anni. Sono Carla. Ciao Giorgio, come stai? (Sto) bene/male, e tu? Mi dispiace. Ci vediamo domani. A domani. Buongiorno, ArrivederLa. Come si chiama? Buongiorno professoressa, come sta?
  • describing and comparing friends and family, for example, using [subject + verb + adjective]: Il mio amico è simpatico
  • describing routines, events and leisure activities (for example, Ogni weekend vado al cinema … Mi piace/non mi piace + [infinitive verb]. Gioco a/pratico il), and comparing these to similar events for Italian peers

  VCITC096 | Languages | Italian | 7–10 Sequence | Levels 7 and 8 | Communicating | Socialising

• VCITC104

  Translate phrases and short texts from Italian to English and vice versa, identifying how cultural concepts are embedded in language and explaining differences in meanings

  Elaborations

  • translating short texts, recognising when literal translation is or is not possible (for example, in idiomatic expressions such as In bocca al lupo!), and discussing reasons for equivalence or non-equivalence
  • making and using glossary lists for different purposes and people , for example children, international students, visitors, and learning how to use print and digital dictionaries
  • describing the local environment, lifestyle and events, considering what will require explanation, elaboration or illustration to be understood by an Italian audience, for example, BBQ, suburb, distances
  • identifying Italian–English cognates (for example, dizionario/dictionary, farmacia/pharmacy, intelligente/intelligent, mercato/market) and using them to predict meaning
  • developing awareness of Italian–English ‘false friends’ and reflect upon how they assist or inhibit meaning, for example, parenti = relatives (not parents), libreria = bookstore (not library), crudo = uncooked (not crude), bravo = good (not brave)

  VCITC104 | Languages | Italian | 7–10 Sequence | Levels 7 and 8 | Communicating | Translating

• VC2M8N03

  convert between fractions and terminating or recurring decimals, using digital tools as appropriate

  Elaborations

  • identifying when a fraction has a terminating decimal expansion from the prime factorisation of its denominator; for example, 724=0.2916_ does not have a terminating decimal expansion, while 725=0.28 does
  • identifying terminating, recurring and non-terminating decimals and choosing their appropriate representations such as 13 is represented as 0.3_

  VC2M8N03 | Mathematics | Mathematics Version 2.0 | Level 8 | Number

• VCDEC002

  Make plans and arrangements to carry out activities together and obtain goods or services, through transacting with others in simple and guided real or simulated situations

  Elaborations

  • making arrangements with a friend, for example, Ich gehe am Samstag zum Fußball. Kommst du mit?
  • planning for a class celebration or performance, for example, following a model to create an invitation or program (Wann? Was? Wer? Wo?) or to write a shopping list, such as for a Grillfest
  • accepting or declining an invitation, for example, a short message, Liebe/r X, danke für deine Einladung. Ich kann am Freitag nicht mitkommen. Ich habe Basketballtraining.
  • participating in collaborative projects, for example, making and playing a vocabulary game such as Domino, Memory or Quartett, or producing and sharing a digital alphabet or number book for a younger audience
  • following procedures and instructions together, for example, participating in sport/dance/craft activities or using a recipe in German to make Rösti or Kartoffelpuffer
  • participating in real or simulated situations, such as buying a bus/cinema ticket or food, for example, Ich nehme ein Käsebrötchen; Was kostet ein Eis?; Das macht 6,50 Euro.

  VCDEC002 | Languages | German | 7–10 Sequence | Levels 7 and 8 | Communicating | Socialising

• VCESC171

  Produce short bilingual texts such as digital stories, comics and blogs, and discuss how language reflects culture

  Elaborations

  • creating subtitles, captions or commentaries for texts such as brochures, slide show presentations or video clips that inform the school community of aspects of Spanish-speaking cultures, for example, El Carnaval de Barranquilla, Festival de Viña del Mar
  • producing bilingual community texts such as posters or advertisements in print or multimedia format, for example, to promote a concert or an interview with a celebrity for a teen radio station
  • composing menus or programs for Spanish-themed events, with key items/information in Spanish and explanatory footnotes/glossaries in English
  • corresponding with Spanish-speaking peers using both Spanish and English, conveying aspects of Australian culture such as places or events of interest, leisure and sports activities, wildlife and environment
  • creating and illustrating a bilingual children’s story for younger learners, using each language in creative and engaging ways, for example, El hijo desobediente or El conejo y el coyote
  • providing an English commentary for video clips of Spanish-language social interactions in different situations and contexts, such as taking a bus to the city, visiting the dentist or buying a video game, explaining elements that may be unfamiliar to Australian viewers

  VCESC171 | Languages | Spanish | F–10 Sequence | Levels 7 and 8 | Communicating | Translating