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• VCASFU104

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

  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 FRIENDS 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)
  • understanding that changes in mouth patterns and movement of signs can intensify adjectives, for example, RED-_really, PLEASED-_really, TALL-_really
  • identifying verb signs (SIT, EAT, FEEL, WONDER, HAVE) and recognising that they are central to a clause
  • noticing that some signs modify the meaning of verbs, such as WORSE as in WORSE OLD 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)
  • 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.
    
  • distinguishing between clauses that are statements and those that are questions
  • distinguishing between yes/no questions, wh- questions and statements and their corresponding NMFs
  • knowing that signing involves either telling with signs or showing with DSs and periods of CA, for example,
    MAN WALK SLOW
    DS(point):man-walks-slowly
    CA:man-swinging-arms-nonchalantly
    

  VCASFU104 | Languages | Auslan | First Language Learner | 7–10 Sequence | Levels 7 and 8 | Understanding | Systems of language

• VCASFU158

  Understand that clauses can be enriched through the use of adjectives and adverbs (when, where, how), often produced with non-manual features

  Elaborations

  • 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 (BELONG, OWN) verbs indicate what characters think, feel or own
    • relating verbs identify or describe a noun, for example, HAVE in PRO3 HAVE LONG-HAIR
  • understanding how DSs and adverbs can give extra information about an activity
  • 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)
  • understanding that, in terms of meaning, a basic clause represents: a happening or a state (verb), who or what is involved (noun or nouns) and the surrounding circumstances (adverb or adverbs)
  • knowing that signing involves either telling with signs or showing with DSs and periods of CA
    MAN WALK SLOW
    DS(point):man-walks-slowly
    CA:man-swinging-arms-nonchalantly
    

  VCASFU158 | Languages | Auslan | Second Language Learner | F–10 Sequence | Levels 3 and 4 | Understanding | Systems of language

• VCASFU247

  Understand that signs can include different information including a gestural overlay, and identify how signers establish spatial locations, types of depicting signs and ways of showing constructed action

  Elaborations

  • recognising that Auslan has fully-lexical signs that are in the dictionary and have a standard handshape, movement and location, and partly-lexical signs that cannot be listed in a dictionary in all forms as gesture changes the form each time they are signed
  • noticing that meaning is created in Auslan from fully-lexical signs, partly-lexical signs, non-lexical signing and gesture and comparing with the range of ways English speakers create meaning, including spoken words, modifying intonation, and gesture
  • noticing that fully- and partly-lexical signs can include grammatical information not included in a ‘citation’ form, for example, the sign TELL-_me is not listed separately to TELL (towards neutral space) and GO-TO includes GO-TO-_often
  • noticing that single-digit numbers can be separate lexical items or merged into other signs (numeral incorporation) such as those for ages (for example, 5-YEARS-OLD) or adverbs of time (for example, 3-WEEKS-AGO) or pronouns (WE3, WE4)
  • identifying where and how a signer has established a location in space, for example through the use of points, non-body-anchored signs or fingerspelled words
  • recognising that signers must make explicit which referent is associated with a location, but do not need to continue to make this explicit throughout a text
  • recognising that signers can set up referents in the signing space close to them (viewer space, for example, using a bC handshape (use of non-dominant hand) to indicate putting a glass on a table) or distant (diagrammatic, for example, using 5claw in two locations to represent two houses)
  • recognising that in viewer space, signers can use locations for present referents, non-present referents, or abstract referents that do not exist in space
  • identifying instances of DSs and their type independently
  • comparing English adjectives with SASS DSs
  • learning that the function of CA is to represent the words, thoughts or actions of a protagonist in a text, either themselves or another
  • knowing that in CA a signer can shift into the role of another, or themselves at a different time, through eye gaze change, body shift, head orientation change, and matching facial expressions

  VCASFU247 | Languages | Auslan | Second Language Learner | 7–10 Sequence | Levels 9 and 10 | Understanding | Systems of language

• VCASFU140

  Recognise that groups of words are combined to make a clause and that Auslan has word classes such as nouns, adjectives or verbs, and distinguish between statements and questions

  Elaborations

  • categorising noun signs into those for people, animals, places or things
  • learning that proper nouns can have a sign name or be fingerspelled
  • 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)
  • identifying verb signs (SIT, EAT, FEEL, WONDER, HAVE) and recognising that they are central to a clause
  • noticing there is no equivalent of the verb ‘to be’ in Auslan, which is a significant difference to English
  • 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.
    
  • 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
  • noticing that Auslan has more flexibility in word order than in English
  • distinguishing between clauses that are statements and those that are questions

  VCASFU140 | Languages | Auslan | Second Language Learner | F–10 Sequence | Foundation to Level 2 | Understanding | Systems of language

• VCITC001

  Interact with the teacher and peers to greet, to introduce themselves, and to name and describe favourite things, friends, family members and special talents, through action-related talk and play

  Elaborations

  • using simple greetings relevant to the time of day, the celebration or event, and their relationship to the person, for example, Ciao! Buongiorno! Arrivederci! Tanti auguri! Buona Pasqua. Buon Natale
  • introducing themselves, for example, Come ti chiami? Mi chiamo …, e tu? Quanti anni hai? Ho sette anni, e tu? Come stai?
  • naming family members and friends, for example, mio fratello Carlo; il papà Tom
  • understanding single words and simple phrases, and indicating comprehension through actions such as pointing to an object, selecting a picture card or flashcard to demonstrate the phrase heard, and matching games in digital form, for example, personal objects: la cartella, la bambola, la palla; school objects: il quaderno, la matita, i colori, il banco; toys and games: il treno, la bicicletta
  • indicating possession (as set phrases), for example, la mia penna, il mio cane, il mio papà, la mia mamma
  • answering simple questions with short spoken and written responses and using flashcards, word lists, posters, photos and multimedia slides, for example, Quanti anni hai? Hai un animale?
  • talking about and describing people and belongings, using familiar formulaic expressions, for example, Questo/a è,. Ecco il mio pallone
  • talking about simple actions in the present tense, for example, Gioco a football, Mangio la pizza
  • using formulaic phrases, for example, Grazie! Prego. Scusa. Per favore. Bene. Molto bene. Perché? Buon appetito!
  • expressing satisfaction/dissatisfaction, for example, Sì; no; mi piace; non mi piace
  • copying words and reading them aloud, matching pictures and words, or choosing from sentences provided to express ideas, for example, È Marco. È grande. È bravo
  • imitating Italian speech, using Italian patterns of intonation, pronunciation and stress, and incorporating appropriate gestures and body language

  VCITC001 | Languages | Italian | F–10 Sequence | Foundation to Level 2 | Communicating | Socialising

• VC2M9A06

  use mathematical modelling to solve applied problems involving change, including financial contexts involving simple interest; formulate problems, choosing to use either linear or quadratic functions or other simple variations; interpret solutions in terms of the context; evaluate the model and...

  Elaborations

  • modelling practical contexts using linear functions such as cooking times that include resting or cooling times, or water leakage from water tanks, using tables and graphs or digital tools and algebraically
  • modelling measurement situations and determining the perimeter and areas of rectangles where the length, $l$, of the rectangle is a linear function of its width, $w$; for example, $l=w, l=w+5, l=3w, l=2w+7$
  • modelling practical contexts (for example, area, paths of projectiles, parabolic mirrors, satellite dishes) using simple quadratic functions, tables and graphs (hand drawn or using digital tools) and, algebraically, interpreting features of the graphs such as the turning point and intercepts in context; for example, area, paths of projectiles, parabolic mirrors, satellite dishes
  • modelling and solving problems involving financial contexts using linear functions, for example, combinations of purchases of different items when they have a set amount of money to spend, profit/loss situations and trade quotes involving call-out fees
  • modelling situations involving change, for example, change in daily temperature during the ski season, fluctuation of speed above and below the speed limit, and acceleration and deceleration of a car coming to and moving off from a set of traffic lights
  • modelling the hunting techniques of Aboriginal and Torres Strait Islander Peoples using quadratic functions and exploring the effect of increasing the number of hunters to catch more prey 

  VC2M9A06 | Mathematics | Mathematics Version 2.0 | Level 9 | Algebra

• VCASFC147

  Respond to questions, directions and requests, using non-manual features and simple questions and statements to ask for help, to indicate understanding or agreement and to negotiate turn-taking

  Elaborations

  • responding to classroom instructions such as
    PLEASE WITH-2++ DS:sit-opposite
    Please find a partner and sit opposite each other.
    DS:line-up PLEASE
    Line up, please.
    LOOK-AT-_me
    Look to the front.
    
  • attracting attention or asking for help, repetition or clarification, for example:
    PLEASE HELP-_me?
    Can you help me, please?
    PLEASE AGAIN SIGN
    Please sign that again.
    PLEASE EXPLAIN-_{to self} AGAIN
    Please explain that again.
    WHAT MEAN?
    What do you mean?
    PRO2 MEAN…?
    Do you mean …?
    
  • negotiating turn-taking, for example:
    PRO1 FIRST YOUR-TURN
    It’s my turn first, then your turn.
    
  • using back-channels, for example, head nodding to indicate understanding, or raised eyebrows or head shaking to indicate lack of understanding
  • gaining the attention of a group or an individual, for example by flashing classroom lights, waving or multiple tapping or tapping or pointing to alert third parties
  • maintaining eye contact when communicating

  VCASFC147 | Languages | Auslan | Second Language Learner | F–10 Sequence | Levels 3 and 4 | Communicating | Socialising

• VCASFC164

  Collaborate with peers to plan and conduct shared events or activities such as performances, presentations, demonstrations or transactions

  Elaborations

  • working collaboratively to plan a performance or presentation for a younger class, for example on aspects of Deaf culture or Auslan
  • expressing preferences in relation to roles and responsibilities in shared learning activities, using statements such as:
    PRO1 HANDWRITING PRO1 DON’T-LIKE RATHER TYPING
    I don’t like handwriting; I prefer to type it.
    PRO1 DON’T-WANT DRAW, PRO1 WANT TAKE-PHOTO++
    I don’t want to do the drawing; I’d rather take photos.
    
  • negotiating with a partner to prioritise or sequence tasks when planning a learning activity, using language such as:
    PRO2 THINK BEST THIS FIRST, FINISH, NEXT
    Do you think we should do this first and when that’s done, next
    THAT FIRST IMPORTANT THAT SECOND
    That’s more important than this.
    
  • organising activities such as excursions or talent shows, using expressions related to place, time and numbers, for example:
    THAT THEATRE WHEN WHAT DAY?
    What date is the show?
    HOW-MANY PEOPLE WILL DS:many-move?
    How many people will be there?
    
  • playing games that involve detailed information exchange, such as ‘Guess Who?’, asking for and supplying descriptions, for example:
    POINT HAVE GLASSES?
    Does yours have glasses?
    DON’T-HAVE
    No.
  • allocating responsibilities for the completion of shared tasks, such as following a recipe or building a model
  • carrying out simulated transactions in different contexts, for example, playing a ‘restaurant’ game, or a food shopping game

  VCASFC164 | Languages | Auslan | Second Language Learner | F–10 Sequence | Levels 5 and 6 | Communicating | Socialising

• VCASFU248

  Understand and control additional elements of Auslan grammar, such as the use of non-manual features for topicalisation, negation or conditional forms, and develop awareness of how signers use constructed action and depicting signs in composite utterances

  Elaborations

  • observing that some noun groups are not signed overtly, particularly if maintaining the same referent rather than introducing a new one
  • distinguishing between the citation form of a sign and the adverbial NMF overlaid and what meaning each part carries, for example: MAN SPRINT (base form), MAN SPRINT-_fast (manner added)
  • recognising that signers can give information about how a verb happens over time by changing the movement, for example, signing WATCH versus WATCH-_{for-a-long-time}, or with lexical signs such as WATCH AGAIN++
  • recognising that some adverbs modify adjectives, not verbs, for example VERY, and that these modifications to adjectives can also be expressed with NMFs, for example changes in mouth patterns and movement of signs can intensify adjectives, for example, RED-_really, PLEASED-_really, TALL-_really
  • recognising that typically signers use DSs to show spatial relationships, not separate signs such as ON or UNDER
  • recognising how conjunctions such as PLUS, IF or BUT are used to join clauses and create cohesion
  • recognising that clauses can also be joined through particular NMFs
  • noticing that clauses can be linked equally or unequally, where one clause depends on another
  • recognising that the element of a clause that a signer wants to focus on most in Auslan is sometimes moved to be signed first and that this process of topicalisation involves particular NMFs
  • noticing that clauses are elaborated and made more vivid by adding adjectives and adverbs and by enacting or using DSs
  • realising that in many clauses signers ‘tell’ with fully-lexical signs at the same time as ‘show’ with DS, periods of CA and other gestural elements
  • noticing when signers are using composite utterances, for example those that include elements of CA, DSs, points and lexical signs, and how that affects the structure of a clause

  VCASFU248 | Languages | Auslan | Second Language Learner | 7–10 Sequence | Levels 9 and 10 | Understanding | Systems of language

• 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 $\frac{1}{4}$ on a fraction wall represents the area of one-quarter of the whole, while on the number line $\frac{1}{4}$ 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 $\frac{2}{10}$ is located at the same position on a parallel number line as $\frac{1}{5}\mathrm{ }$because $\frac{1}{5}\mathrm{ }$is equivalent to $\frac{2}{10}$
  • 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

• 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

• VCASFC021

  Adjusting and responding to language and behaviour for various purposes in the classroom and wider school community, for example by asking and responding to questions, and indicating understanding

  Elaborations

  • asking for repetition and clarification, for example:
    WHAT?
    What was that?
    PLEASE AGAIN SIGN
    Please sign that again.
    WHAT MEAN?
    What do you mean?
    
  • responding to instructions when completing work or preparing for class
  • adopting different roles for effective group or pair-work interactions, such as group leader, note taker or reporter
  • using appropriate protocols when gaining the attention of a group, such as flashing lights, waving, multiple tapping or foot stomping in some contexts, waiting for eye contact or pauses in signing and using language such as EXCUSE or SORRY INTERRUPT or QUICK INTERRUPT when interrupting a conversation
  • responding appropriately to impromptu or more formal class and school announcements, such as assembly procedures
  • indicating understanding, for example:
    RIGHT-YEAH
    Aaah, right.
    
  • clarifying points of information, for example by asking:
    PRO2 MEAN…?
    Do you mean …?
    THAT RIGHT?
    Is that right?
    …RIGHT PRO1?
    … am I right?
    
  • using eye contact and clear signing with peers, teachers, visitors and community members
  • using an increasing range of interaction skills, such as initiating, maintaining and changing topics, remaining on task and taking turns in conversations
  • understanding how to walk between signers engaged in conversation without interrupting
  • developing appropriate conversational behaviours such as sharing ideas, acknowledging and extending others’ contributions and making use of discourse markers, fillers and NMFs, such as:
    SURPRISE
    oooh (with appropriate intonation)
    INCREDIBLE
    No way!
    WOW
    Wow!
    UM
    um
    
  • understanding and producing phrases to encourage and praise each other, for example, GOOD, EXCELLENT, CONGRATULATIONS

  VCASFC021 | 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

• VC2M8A02

  graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution

  Elaborations

  • recognising that in a table of values, if the first difference between consecutive values of the dependent variable is constant, then it is a linear relation
  • graphing linear functions and relations of the form $x=a$ , $y=a$ , $x \le a$ , $x>a$ , $y \le a$ , $y>a$ on the Cartesian plane for known values of $a$
  • completing a table of values, plotting the resulting points on the Cartesian plane and determining whether the relationship is linear
  • graphing the linear relationship $ax+b=c$for given values of $a, b$and $c$ and identifying from the graph where $ax+b <c$ or where $ax+b >c$
  • solving linear equations of the form $ax+b=c$ and one-variable inequalities of the form $ax+b <c$ or $ax+b >c$ where $a$ > 0 using inverse operations and digital tools, and checking solutions by substitution
  • solving linear equations such as $3x+7=6x-9 ,$representing these graphically, and verifying solutions by substitution

  VC2M8A02 | Mathematics | Mathematics Version 2.0 | Level 8 | Algebra

• 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 $y=x^2-5x+6$ can be represented as $y=\left(x-2\right)\left(x-3\right)$ with $x$-axis intercepts where either $\left(x-2\right)=0$ or $\left(x-3\right)=0$
  • recognising that the equation $x^2=a$, where $a>0$, has 2 solutions, $x=\sqrt[]{a}$ and $x=-\sqrt[]{a}$ (for example, if $x^2=39$ then $x=\sqrt[]{39}=6.245$ correct to 3 decimal places, or $x=-\sqrt[]{39}=-6.245$ 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