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• Turkish - 7–10 Sequence: Levels 9 and 10 achievement standards

  By the end of Level 10, students interact in written and spoken Turkish to exchange and compare views and experiences on personal, local and global issues, for example, liseyi bitirince Türkiye’de üniversiteye gitmek istiyorum, okulu bitirdikten sonra seyahat etmek istiyorum. They us...

  Level description | Languages | Turkish | 7–10 Sequence | Levels 9 and 10

• VCJAU032

  Understand the systematic nature of Japanese language and grammatical forms, and explore how to use/combine these elements to express complex ideas

  Elaborations

  • further developing metalanguage to describe and apply grammatical concepts and language elements, and to organise learning resources such as verb charts and lists of vocabulary and sentence structures
  • understanding and applying the rules of the plain form, and knowing that the basic form of all Japanese verbs ends in -u, -eru or -iru, as listed in dictionaries
  • understanding that verbs can be divided into three groups according to the way they are conjugated: Group 1 (five-step verbs), Group 2 (one-step verbs) and Group 3 (irregular verbs)
  • using character charts as a systematic framework that enables recognition of verb conjugation patterns, and applying the formation rules of each verb group
  • understanding and using a range of particles such as:
    • か (or)
    • に (purpose, indirect object, location)
    • で (location of action, by means such as ペンで、 日本語で)
  • understanding and using いand な adjectives in the present and past tense
  • using verb stems with grammatical features such as ～たい、 ～ たくない、 ～ かった、 ～ やすい／にくいです
  • understanding and using verbてforms to express a range of ideas, for example, ～ている、 ～てもいいです、 ～てはいけません、 ～てはだめです
  • creating cohesion and flow by using conjunctions, for example, だから、 それで、 それに、 verbてform, だから、 しかし、 それに、 けれども
  • expressing opinions, intentions and thoughts using the plain form, for example, ～つもりです、 ～とおもいます、 ～たり～たりします
  • asking and responding to questions using 何で? どうして/なぜ？ どのぐらい? いくつ？
  • building vocabulary that relates to daily life and the world beyond school and home and that can be used for cross-curricular content learning
  • elaborating ideas or statements using expressions such as 今(こん)しゅう、 先(せん)しゅう、 来年(らいねん)、 いつも、 ぜんぜん、 あまり
  • understanding Japanese counting systems using units of 10, 100, 1000 and 10,000 and associated kanji, for example, 百(ひゃく) 、 千(せん)、 万(まん)
  • extending the use of counter classifiers to include ～円(えん)、 ～分、 ～まい、 ～本、 ～つ、 ～日 (date)
  • expressing superlative forms using 一番(いちばん)、 for example, 一番好きなかもくは日本語です。
  • expressing the location of items by using prepositions such as 右(みぎ)、 左(ひだり)、 前(まえ)、 後(うし)ろ、 上(うえ)、 下(した)、 となり、 そば　
  • understanding and using plain or polite forms as appropriate to context, for example, understanding the concept of uchi-soto (内(うち)/外(そと)) for making appropriate choices of register

  VCJAU032 | Languages | Japanese | 7–10 Sequence | Levels 9 and 10 | Understanding | Systems of language

• VCHIC074

  Participate in activities that involve interactions, transactions, negotiations and management of different opinions and social/cultural behaviours

  Elaborations

  • negotiating arrangements, weighing up alternatives and reaching shared decisions when planning performances or presentations to showcase Hindi language learning, for example, हमें इस में कुछ चित्र भी सम्मलित करने चाहिये?; क्यों न हम सब ...; यही उचित रहेगा; आपको इसमें से एक चुनना है।
  • issuing, accepting and declining invitations, using culturally appropriate expressions and protocols, for example, अपनी पुत्री के शुभ विवाह पर मैं आपको आमंत्रित करना चाहता हूँ । मैं नेहा बेटी को आशीर्वाद देने ज़रूर आऊँगा। यह मेरा सौभाग्य है कि आप ने मुझे इतने महत्त्वपूर्ण अवसर में सम्मिलित होने का अवसर दिया, किन्तु मैं किसी कारण वश नहीं आ पाऊँगा।
  • comparing opinions on social and cultural behaviours and values associated with Hindi-speaking communities via online forms of communication such as emails, school chat forums and community websites, for example, भारतीय जीवन शैली में रंगों का विशेष महत्व है। बिंदी का महत्त्व केवल सौंदर्य और श्रंगार तक ही सीमित नहीं है। भारतीय संस्कृति की परम्परा है कि हम अपने अतिथियों का अपनी सामर्थ्य के अनुसार स्वागत सत्कार करने में कोई कसर नहीं छोड़ते। भारत में विवाह न केवल एक महिला और पुरुष को आपस में जोड़ता है बल्कि दो परिवारों को आपसी सहयोग और प्रेम की भावना में भी बाँधता है।
  • organising an event such as a campaign or social media forum to raise awareness of community, environmental or ethical issues, for example, महिलाओं की सुरक्षा; स्वच्छ स्थानीय पर्यावरण, पुनर्चक्रण का महत्त्व
  • transacting for goods and services, considering concepts such as value, availability, competition and ethics
  • building vocabulary to support commercial and technological exchange between English- and Hindi-speaking communities, for example, मुद्रा विनिमय दर, भारत में आस्ट्रेलियाई निवेश, अंतर्राष्ट्रीय व्यापार, प्रौद्योगिकी का आदान-प्रदान

  VCHIC074 | Languages | Hindi | F–10 Sequence | Levels 9 and 10 | Communicating | Socialising

• Classical Greek: Levels 9 and 10 achievement standards

  By the end of Level 10, students analyse a range of Classical Greek texts to obtain information and ideas about ancient Greek society and culture. They use vocabulary, grammar and textual cues to analyse and interpret language use and cultural references in Classical Greek texts, such as poetry...

  Level description | Languages | Classical Greek | Levels 9 and 10

• Korean - 7–10 Sequence: Levels 9 and 10 achievement standards

  By the end of Level 10, students use written and spoken Korean to interact with peers, teachers and other Korean speakers in face-to-face, local and virtual communications. They exchange information and opinions about personal and immediate interests and experiences and about broader topics of...

  Level description | Languages | Korean | 7–10 Sequence | Levels 9 and 10

• VC2M9A01

  apply the exponent laws to numerical expressions with integer exponents and the zero exponent, and extend to variables

  Elaborations

  • representing decimals in exponential form; for example, 0.475 can be represented as 0.475=410+7100+51000=4×10-1+7×10-2+5×10-3 and 0.00023 as 23 × 10^-5
  • simplifying and evaluating numerical expressions, involving both positive and negative integer exponents, explaining why; for example, 5-3=153=(15)3=1125 and connecting terms of the sequence 125, 25, 5, 1, 15, 125, 1125… to terms of the sequence 53, 52,51, 50, 5-1, 5-2, 5-3...
  • relating the computation of numerical expressions involving exponents to the exponent laws and the definition of an exponent; for example, 23÷25=2-2=122=14 and (3×5)2=32×52=9×25=225
  • recognising exponents in algebraic expressions and applying the relevant exponent laws and conventions; for example, for any non-zero natural number a, a0=1, x1=x,  r2=r×r,  h3=h×h×h,  y4=y×y×y×y, and 1w×1w=1w2=w-2
  • relating simplification of expressions from first principles and counting to the use of exponent laws; for example,
    (a2)3=a×a×a×a×a×a=a×a×a×a×a×a=a6;
    b2×b3=b×b×b×b×b=b×b×b×b×b=b5; y4y2=y×y×y×yy×y=y21=y2 and (5a)2=5×a×5×a=5 ×5×a×a=25×a2=25a2 
  • applying the exponent laws to simplifying expressions involving products, quotients, and powers of constants and variables; for example, (2xy)3xy4=8x3y3xy4=8x2y-1
  • relating the prefixes for SI units from pico- (trillionth) to tera- (trillion) to the corresponding powers of 10; for example, one pico-gram = 10^-12 grams and one terabyte = 10¹² bytes

  VC2M9A01 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra

• 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

• VC2M9A02

  simplify algebraic expressions, apply the distributive law to expand algebraic expressions including binomial products, and factorise monic quadratic expressions

  Elaborations

  • expanding combinations of binomials such as x+7x+8, x+7x-8,  x-7x+8,  (x-7)(x-8) to identify expansion and factorisation patterns related to x+ax+b=x2+a+bx+ab, where a and b are integers
  • using manipulatives such as algebra tiles or area models to expand or factorise algebraic expressions with readily identifiable binomial factors; for example, x+1x+3=x2+4x+3, (x-5)2=x2-10x+25 or (x-3)2+4=x2-6x+9+4=x2-6x+13
  • recognising the relationship between expansion and factorisation, and using digital tools to systematically explore the factorisation of x2+mx+n where m and n are integers

  VC2M9A02 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra

• VC2M9A07

  experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns 

  Elaborations

  • investigating transformations of the graph of y=x to the graph of y=ax+b by systematic variation of a and b and interpreting the effects of these transformations using digital tools; for example,
    y=x→y=2x (vertical enlargement as a>1) →y=2x-1 (vertical translation) and
     y=x→y=12x (vertical compression as 0<a<1) →y=-12x (reflection in the horizontal axis) →y=-12x+3 (vertical translation)
  • investigating transformations of the parabola y=x2 to the graph of y=ax-h2+b in the Cartesian plane using digital tools to determine the relationship between graphical and algebraic representations of quadratic functions, including the completed square form; for example,
    y=x2→y=13x2 (vertical compression as 0<a<1) →y=13(x-5)2 (horizontal translation) →y=13(x-5)2+7 (vertical translation) or
    y=x2→y=2x2 (vertical enlargement as a>1) →y=-2x2 (reflection in the horizontal axis) →y=-2(x+6)2 (horizontal translation) →y=-2x+62+10 (vertical translation)
  • experimenting with digital tools by applying transformations to the graphs of functions, such as reciprocal y=1x, square root y=x, cubic y=x3 and exponential functions y=2x, y=(12)x, identifying patterns

  VC2M9A07 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra