Search results

Result list

• VC2M2A02

  recall and demonstrate proficiency with addition facts to 20; extend and apply facts to develop related subtraction facts

  Elaborations

  • using ten-frames or materials such as connecting cubes to develop and record addition and subtraction strategies including doubles, near doubles, counting on, combinations to 10 and bridging to 10, explaining patterns and connections noticed within the facts
  • partitioning and rearranging collections to practise and develop fluency with addition and subtraction facts to 20, leading to the recall of these facts; for example, partitioning using materials and part-part-whole diagrams to develop subtraction facts related to addition facts, such as 8 + 7 = 15 therefore 15 − 7 = 8 and 15 − 8 = 7
  • using partitioning to develop and record facts systematically (for example, ‘How many ways can 10 birds be spread among 2 trees?’, 10 = 10 + 0, 10 = 9 + 1, 10 = 8 + 2, 10 = 7 + 3, …), explaining how they know they have found all possible partitions 

  VC2M2A02 | Mathematics | Mathematics Version 2.0 | Level 2 | Algebra

• VC2M3A02

  extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator

  Elaborations

  • partitioning using materials and part-part-whole diagrams to develop subtraction facts related to addition facts, such as 8 + 7 = 15 therefore 15 − 7 = 8 and 15 − 8 = 7
  • using partitioning to develop and record facts systematically (for example, ‘How many ways can 12 monkeys be spread among 2 trees?’, 12 = 12 + 0, 12 = 11 + 1, 12 = 10 + 2, 12 = 9 + 3, …), explaining how they know they have found all possible partitions
  • understanding basic addition and related subtraction facts and using extensions to these facts; for example, 6 + 6 = 12, 16 + 6 = 22, 6 + 7 = 13, 16 + 7 = 23, and 60 + 60 = 120, 600 + 600 = 1200

  VC2M3A02 | Mathematics | Mathematics Version 2.0 | Level 3 | Algebra

• VC2M2A03

  recall and demonstrate proficiency with multiplication facts for twos; extend and apply facts to develop the related division facts using doubling and halving

  Elaborations

  • recognising and relating terms such as ‘double’, ‘twice’ and ‘multiply by 2’, and ‘halve’ and ‘divide by 2’ using physical and virtual materials; for example, colouring numbers on a hundreds chart to represent doubles and using it to recognise halves or recognising the doubling pattern and applying the pattern to find related facts such as ‘For 8 twos, think 2 eights’
  • doubling and halving collections to practise and develop fluency with multiplication and division facts for twos, leading to recall of these facts
  • establishing an understanding of doubles and near doubles using physical or virtual manipulatives; for example, using manipulatives to establish that doubling 5 gives you 10, then extending this doubling fact to respond to the question ‘How can you use this fact to double 6 or double 4?’
  • developing fluency with doubling and halving numbers within 20 using physical or virtual materials and playing doubling and halving games; for example, using a physical or virtual dice and choosing whether to double or halve to reach a target number 

  VC2M2A03 | Mathematics | Mathematics Version 2.0 | Level 2 | Algebra

• VC2MFA01

  follow a short sequence of instructions; recognise, copy, continue and create repeating patterns represented in different ways

  Elaborations

  • carrying out a specified sequence of actions to move an object from one location to another
  • playing a simple rule-based game, moving a specified number of places according to the result on a dice in a chance-based game
  • recognising, copying and describing different repeating patterns using materials, shapes, sounds and movements during activities and play; for example, making a bead necklace and describing the pattern they have created, such as ‘red, blue, green, red, blue, green, red, blue, green’, or copying repeating patterns of drumbeats or dance moves during music activities
  • recognising repeating patterns used at home and in daily activities to help make tasks easier or to solve problems; for example, setting the table to eat
  • recognising and describing repeating patterns that can be observed on Country/Place and in Aboriginal and Torres Strait Islander artwork, cultural performances and material cultures, for example, shell and seed necklaces, dances and songs

  VC2MFA01 | Mathematics | Mathematics Version 2.0 | Foundation Level | Algebra

• VC2M9M05

  use mathematical modelling to solve practical problems involving direct proportion, rates, ratio and scale, including financial contexts; formulate the problems and interpret solutions in terms of the situation; evaluate the model and report methods and findings

  Elaborations

  • modelling situations that involve direct proportion (such as pro rata pay rates, exchange rates, multiple quotes for a job, conversion between scales or other appropriate science contexts); for example, situations that involve Hooke’s law and other science contexts involving wavelengths and frequencies
  • modelling situations that impact on image editing used in social media and how proportion may not be maintained and can result in distorted images
  • modelling situations involving compliance with building and construction standards in design and construction, such as the rise and tread of staircases, and vertical and horizontal components of escalators
  • modelling situations involving the application of rates in practical contexts, for example, density, birth, flow or heartbeats
  • exploring fire techniques in land management practices used by Aboriginal and Torres Strait Islander Peoples that use proportion relationships, including the rate of fire spread in different fuel types to wind speed, temperature and relative humidity

  VC2M9M05 | Mathematics | Mathematics Version 2.0 | Level 9 | Measurement

• VC2M8M02

  solve problems involving the volume and capacity of right prisms using appropriate units

  Elaborations

  • using models to demonstrate the number of cubic centimetres in a cubic metre and relating this to capacities of millilitres and litres, recognising that one millilitre is equivalent to one cm³
  • solving practical problems involving volume and capacity, for example, optimal packaging and production
  • choosing which measurements are useful to consider when solving practical problems in context; for example, when purchasing a new washing machine, the dimensions are useful when determining whether it will fit in the available space in the laundry and its capacity is useful when considering the maximum washing load it can carry
  • investigating, reasoning and finding solutions to measurement problems involving dimensions, rates, volume and capacity of objects; for example, given the dimensions of a pool and the rate of flow from a tap, determining how long it will take to fill the pool to its normal capacity

  VC2M8M02 | Mathematics | Mathematics Version 2.0 | Level 8 | Measurement

• VC2M3N01

  identify, explain and use the properties of odd and even numbers

  Elaborations

  • identifying even numbers using skip counting by twos or by grouping even collections of objects in twos
  • explaining why all numbers that end in the digits 0, 2, 4, 6 and 8 are even and that numbers ending in 1, 3, 5, 7 and 9 are odd
  • explaining why some materials can be shared evenly between 2 people without leaving a remainder and some cannot
  • explaining the patterns involved in adding, subtracting and multiplying odd and even numbers (for example, even + even = even, odd + even = odd, odd + odd = even) and using this to decide whether answers to addition, subtraction and multiplication calculations are correct or not
  • following an algorithm consisting of a flow chart with a series of instructions and decisions to determine whether a number is even or odd; and using the algorithm to identify which elements of a set of numbers are divisible by 2

  VC2M3N01 | Mathematics | Mathematics Version 2.0 | Level 3 | Number

• VC2M3N05

  multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies

  Elaborations

  • applying knowledge of numbers and the properties of operations using a variety of ways to represent multiplication or division number sentences; for example, using a Think Board to show different ways of visualising 8 × 4, such as an array, a diagram and a worded problem
  • using part-part-whole and comparative models to visually represent multiplicative relationships and choosing whether to use multiplication or division to solve problems
  • matching or creating a problem scenario or story that can be represented by a given number sentence involving multiplication and division; for example, using given number sentences to create worded problems for others to solve
  • formulating connected multiplication and division expressions by representing situations from Aboriginal and/or Torres Strait Islander Peoples’ cultural stories and dances about how they care for Country/Place, such as turtle egg gathering, using number sentences

  VC2M3N05 | Mathematics | Mathematics Version 2.0 | Level 3 | Number

• VC2M6N02

  identify and describe the properties of prime, composite, square and triangular numbers and use these properties to solve problems and simplify calculations

  Elaborations

  • using the definition of a prime number to explain why one is not a prime number
  • testing numbers by using division to distinguish between prime and composite numbers, recording the results on a number chart to identify any patterns
  • representing composite numbers as a product of their factors, including prime factors when necessary and using this form to simplify calculations involving multiplication, such as 15 × 16 as 5 × 3 × 4 × 4, which can be rearranged to simplify calculation to 5 × 4 × 3 × 4 = 20 × 12
  • identifying and describing the product of a number with itself as square; for example, 3 × 3 is the same as 3²
  • using spreadsheets to list all the numbers that have up to 3 factors, using combinations of only the first 3 prime numbers, recognising any emerging patterns, making conjectures and experimenting with other combinations

  VC2M6N02 | Mathematics | Mathematics Version 2.0 | Level 6 | Number

• VC2M6P01

  describe probabilities using fractions, decimals and percentages; recognise that probabilities lie on numerical scales of 0–‍1 or 0%–100%; use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals

  Elaborations

  • recognising that the probability of an event occurring can be represented numerically as either a number ranging from zero to one or a percentage from 0% to 100% where zero or 0% means it will not happen and one or 100% means it is certain to happen
  • using a scale of zero to one or 0% to 100% to estimate chances of events
  • listing the different possible outcomes for rolling a dice and using a scale to locate the relative probability by considering the chance of more than or less than for each possible event, for example, the probability of getting a number greater than 4
  • recognising the language used to describe situations involving uncertainty, such as what it means to be ‘lucky’, a ‘75% chance’ of rain or a ‘1-in-100 years’ flood
  • exploring Aboriginal and/or Torres Strait Islander children’s instructive games, such as Weme from the Warlpiri Peoples of Central Australia, to investigate and assign probabilities that events will occur, indicating their estimated likelihood

  VC2M6P01 | Mathematics | Mathematics Version 2.0 | Level 6 | Probability

• VC2M9SP01

  recognise the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles using properties of similarity

  Elaborations

  • understanding the terms ‘base’, ‘altitude’, ‘hypotenuse’, and ‘adjacent’ and ‘opposite’ sides to an angle, in a right-angled triangle, and identifying these for a given right-angled triangle
  • investigating patterns to reason about nested similar triangles that are aligned on a coordinate plane, connecting ideas of parallel sides and identifying the constancy of ratios of corresponding sides for a given angle
  • establishing an understanding that the sine of an angle can be considered as the length of the altitude of a right-angled triangle with a hypotenuse of length one unit and similarly the cosine as the length of the base of the same triangle, and relating this to enlargement and similar triangles
  • relating the tangent of an angle to the altitude and base of nested similar right-angled triangles, and connecting the tangent of the angle at which the graph of a straight line meets the positive direction of the horizontal coordinate axis to the gradient of the straight line

  VC2M9SP01 | Mathematics | Mathematics Version 2.0 | Level 9 | Space

• VC2M3SP02

  interpret and create two-dimensional representations of familiar environments, locating key landmarks and objects relative to each other

  Elaborations

  • designing the layout of a space; for example, designing a proposed games room or a classroom using a blank sheet of paper as the boundary and cut-outs of shapes to represent furniture from a top-view perspective
  • locating themselves within a space, such as a basketball court, oval, stage or assembly hall, guided by a simple hand-held plan indicating the different positions of the participants in the activity
  • sketching a map indicating where they have hidden an object within the classroom, swapping maps with partners and then providing feedback about what was helpful and what was confusing on the map
  • identifying differences in the representation of a place on a map, in an aerial photograph, in a street view and in a satellite image, and discussing the different information the representations can give
  • exploring land maps or cultural maps used by Aboriginal and Torres Strait Islander Peoples to locate, identify and position important landmarks such as waterholes

  VC2M3SP02 | Mathematics | Mathematics Version 2.0 | Level 3 | Space

• VC2M5ST01

  acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables to address a question of interest or purpose using software including spreadsheets; discuss and report on data distributions in terms of highest frequency (mode) and shape, in the context of the data

  Elaborations

  • recognising that ordinal data is a form of categorical data even though the data being collected might be numbers, for example, a rating scale using numbers 1–5 to represent the categories people can choose from when asked, ‘What rating would you give this film out of 5?’
  • determining the mode for a set of data and discussing that there may be more than one mode
  • identifying the best methods of presenting data to illustrate the results of investigations and justifying the choice of representations
  • acquiring data through chance experiments, discussing and reporting on the distribution of outcomes and how this relates to equal and unequal outcomes
  • using digital systems to validate data; for example, recognising the difference between numerical, text and date formats in spreadsheets, and setting data types in a spreadsheet to make sure a date is input correctly
  • investigating data relating to the reconciliation process between Aboriginal and Torres Strait Islander Peoples and non-Indigenous Australians, posing questions, discussing and reporting on findings

  VC2M5ST01 | Mathematics | Mathematics Version 2.0 | Level 5 | Statistics

• VCTRC071

  Ask and respond to questions that invite reflection, analysis and comparison of experiences, for example, as learners and users of Turkish in and out of school

  Elaborations

  • responding to questions that encourage reflection and require the use of elaborated and evaluative language, for example, how meanings can be interpreted or misinterpreted by others, with particular reference to their experience of moving between Turkish and English
  • asking each other questions that require the use of analytical or comparative language in response, for example, okuduğunuz metindeki bu düşünce izlediğiniz filmde nasıl işlenmiştir? Hangi dilde duygularını daha rahat ifade ediyorsun
  • documenting their experience of learning and using Turkish in the school context, for example, by maintaining a reflective journal that records responses to stimulus questions such as Türkçe’yi daha farklı ortamlarda rahatça kullanabiliyorum
  • using evaluative language to acknowledge elements of others’ arguments or to challenge ideas in a respectful manner, for example, Bazıları böyle düşünse de ben tamamen farklı düşünüyorum

  VCTRC071 | Languages | Turkish | F–10 Sequence | Levels 9 and 10 | Communicating | Socialising

• VCVIU119

  Explore different types of familiar texts, such as captions, labels, songs, rhymes and fairy tales, noticing similarities and differences between text types

  Elaborations

  • examining different types of texts, such as signs, songs, captions, stories and dialogues, noticing that they can be short or long, spoken, written, digital, visual or multimodal
  • sharing ideas about the purpose of different texts, such as a class timetable (to show the sequence of lessons) or a story (to describe past events)
  • exploring similar text types in Vietnamese and English, for example, songs, street signs or labels on goods at a market, and noticing ways in which they are similar or different
  • naming different types of familiar texts (story, poem, song) and discussing how they work, for example, using the story starter Ngày xưa, hồi đó, lâu lắm rồi; or rhyming or repeating words in songs, such as quác quác quác, quạc quạc quạc in the song ‘Một con vịt’

  VCVIU119 | Languages | Vietnamese | F–10 Sequence | Foundation to Level 2 | Understanding | Systems of language

• VCZHC054

  Create written imaginative texts to describe experiences involving imagined people and places

  Elaborations

  • collaboratively creating stories with imagined characters and settings, capturing the characters’ experiences in different cultures, for example, 《James在上海》
  • writing a creative account of an imagined experience with Chinese visitors in the local community, such as hosting a Chinese student or taking a tour group to a local sporting event
  • writing a recount of an adventure, for example, 《xxx历险记》
  • using descriptive language to set the scene and capture the reader’s imagination, for example, describing the sound of traffic and the smell of breakfast stalls on a busy morning in a Chinese town
  • exploring how alternative words can be used to convey varying attitudes and degrees of emotion towards people, places and events, for example, 我真高兴。你快乐吗？他很幸福!

  VCZHC054 | Languages | Chinese | Second Language Learner | F–10 Sequence | Levels 7 and 8 | Communicating | Creating

• VCZHC102

  Respond to and create or adapt simple narratives that describe experiences and characters from folk tales or popular fiction

  Elaborations

  • composing a creative account of an imagined experience with Chinese visitors to the local community, for example, hosting a Chinese student or taking a tour group to a local sporting event
  • creating narratives that hold the attention of readers (for example, beginning a story with 你知道吗？), experimenting with 正叙，倒叙，插叙 to sequence events and using descriptive language to set the scene
  • collaboratively creating short plays describing the experiences of imagined characters in different cultures, for example, 《James在上海》
  • exploring how alternative words can be used to convey varying degrees of emotion and attitude towards people, places and events, for example, 我真高兴。你快乐吗？他很幸福!
  • taking on a role in a story and retelling the story from one character’s perspective, describing their feelings and emotions, for example, 我真高兴！ 太棒了！ 哎哟，吓死我了！

  VCZHC102 | Languages | Chinese | Second Language Learner | 7–10 Sequence | Levels 9 and 10 | Communicating | Creating

• VCZHC167

  Translate short texts for different audiences, identifying what is lost in translation and considering alternative ways to explain key points

  Elaborations

  • identifying the challenges of translating some concepts (for example, 龙的传人: ‘descendant of dragon’), and developing strategies to overcome these; asking, for example: What is lost in translation? Why can’t we just translate word for word? Why does context matter?
  • translating short phrases or texts, noting culture-specific words and phrases, and discussing alternatives, equivalence or non-equivalence
  • discussing reasons for creating different translations for different audiences
  • comparing alternative ways of translating to identify ‘normality’ in one’s linguistic and cultural context, for example, using the term 软饮料 instead of 无酒精饮料 assumes the reader/audience has a degree of connection to English to understand meaning of 软
  • considering ways to convey culture-specific terms (for example, 中药和食疗, 上火，大补) in English

  VCZHC167 | Languages | Chinese | Background Language Learner | F–10 Sequence | Levels 7 and 8 | Communicating | Translating

• VCZHC002

  Interact with simple written texts in familiar contexts to contribute to class discussions

  Elaborations

  • collecting examples of common Chinese characters found in familiar settings such as signs and labels, for example, 八 (8),面 (‘noodles’), 春 (‘spring’)
  • discussing the differences between the Roman alphabet and characters, for example, compare the sound and shape of each
  • labelling images of family from a provided list of characters, for example, 妈妈，爸爸，哥哥，妹妹
  • recognising and copying high-frequency characters relating to family and number, and noticing the formation and spacing of characters
  • recognising the differences in describing family members in Chinese and English, for example, ‘brothers’ can be 哥哥 or 弟弟 in Chinese
  • labelling and illustrating a class photo wall of a shared event or visit

  VCZHC002 | Languages | Chinese | Second Language Learner | F–10 Sequence | Foundation to Level 2 | Communicating | Socialising

• VCZHC253

  Reflect on the language choices they make when expressing their points of view to others and connect these choices to their identities in Chinese and Australian communities

  Elaborations

  • discussing available choices in how they present their own identity to others and identifying times when they choose to express one aspect of their identity over another
  • reflecting on how their language choices, including the use of English, Chinese, a dialect or accent, are indications of their sense of identity within a particular context
  • considering the differences in their own sense of identity in Australia and when they ‘return home’ (回国) in terms of changes in social contexts and in their relationships with other participants in interactions
  • describing examples of when changes in identity are more evident, such as when they are compared to friends ‘back home’
  • identifying meanings implied in facial expressions, gestures, interjections and exclamations, for example, 哎 can be used to express surprise or dissatisfaction
  • reflecting on how one’s own world view is conveyed through language choices, for example, ‘naming’ China 华夏、九州、神州大地、中原 which reflects their understanding of their history, geography, ethnicity and place in the world

  VCZHC253 | Languages | Chinese | First Language Learner | 7–10 Sequence | Levels 9 and 10 | Communicating | Reflecting