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• VCJAC188

  Compare translations of different types of texts, including versions obtained from digital translators, considering differences in interpretation and how language reflects elements of culture

  Elaborations

  • comparing English translations and interpretations of Japanese texts such as song lyrics, proverbs and advertisements that contain cultural elements and references
  • comparing translations of language associated with significant events, rituals or practices in Japan/Japanese-speaking communities, identifying examples of the relationship between language and cultural values and experience, for example, おじゃまします。
  • comparing own translations of newspaper headlines or email communications with peers’, noticing differences in interpretation or translation and considering reasons for such variations
  • evaluating and reviewing online translators

  VCJAC188 | Languages | Japanese | F–10 Sequence | Levels 9 and 10 | Communicating | Translating

• VCKOU031

  Understand and use key features of Korean sound and writing systems, including pronunciation, intonation and print conventions, applying this understanding to own speech and writing

  Elaborations

  • recognising and reproducing sounds of Korean in sentences consisting of multiple clauses, attending to pauses and intonation to identify clause sequences and types of sentences
  • pronouncing syllable blocks in a word, making appropriate changes to the sounds on syllable boundaries according to pronunciation rules, for example, pronouncing such words as 한국어, 같이, 감사합니다, 먹고 and어떻게 as 항구거, 가치, 감사함니다, 먹꼬 and 어떠케
  • experimenting with pronunciation rules and intonation collaboratively with peers
  • using basic punctuation in writing, including a question mark (?) for questions and a full stop (.) for other types of sentences
  • using spacing and spelling rules in reading and writing, recognising their differences to English, for example, 소라가 방에 있어요 versus 소라 가방에 있어요

  VCKOU031 | Languages | Korean | 7–10 Sequence | Levels 9 and 10 | Understanding | Systems of language

• VCLAU024

  Expand vocabulary by using a range of strategies, including knowledge of roots, cognates and derivatives, and use dictionaries to determine the meaning of unfamiliar vocabulary in specific contexts

  Elaborations

  • developing vocabulary lists pertinent to particular reading, for example, military words, philosophical words, poetic words
  • using a dictionary to investigate how vocabulary choices in Latin and English can express shades of meaning
  • extrapolating knowledge of word origins and roots to interpret unfamiliar vocabulary, for example, aedificium: aedifico; rex, regis: regulus
  • extending vocabulary through word-building from Latin roots, for example, caelum + colo: caelicolae, and from derivatives, for example, celestial
  • building vocabulary by recognising English words derived from supines, for example, ‘mission’ from missum
  • identifying and interpreting compound words, for example, ‘prefect’ from prae + factum
  • recognising common patterns of vowel change to identify words from the same root, for example, capere: -cip (recipere)
  • expanding vocabulary by using connections between conceptually related words, for example, pius, impius, pietas

  VCLAU024 | Languages | Latin | Levels 9 and 10 | Understanding | Systems of language

• VCLVC161

  Explore their own sense of identity, including elements such as family, friends, interests, membership of groups, and consider markers of identity that may be important across all cultures

  Elaborations

  • creating a class wall chart or family tree, labelling with appropriate kinship terms (Aboriginal and Torres Strait Islander students may be able to source information about their totems/moieties and other affiliations from home, family and community sources)
  • investigating and discussing, as culturally appropriate, the meaning of personal, family and other names and their significance as markers of identity
  • working with respected community members to map community-wide links between families according to known kin links
  • designing visual representations, such as concept maps, posters or captioned slide presentations, of their group memberships, for example, friendship, family, sporting, interest and community groups, moieties, and discussing what such membership means to their sense of identity
  • creating a profile to capture their sense of personal identity, for example, through an avatar or montage, using key words and expressions and commenting on the significance of particular events, influences or interactions
  • considering how their individual upbringing and experiences impact on their assumptions/attitudes when participating in intercultural interactions, for example, in relation to notions of leisure/free time or family and community responsibilities
  • talking about ways local Aboriginal communities express elements of their shared identity, for example, through behaviours associated with sporting teams, distinctions between coastal versus inland communities, through community events and profiling of identities from their community
  • noticing and comparing their use of words or expressions from different languages when communicating in English and discussing how this relates to their sense of identity
  • monitoring their development as learners of the language, for example, by recording learning experiences, reflections in blogs, learning logs or journals
  • identifying markers of identity that may be important across all cultures, for example, family, community, location, language, age, gender
  • exploring the concept of collective identity by designing an item, such as a language flag or artefact, that incorporates elements of importance to the language/community

  VCLVC161 | Languages | Victorian Aboriginal Languages | Levels 3 to 6 | Communicating | Identity

• VC2M1A01

  recognise, continue and create pattern sequences, with numbers, symbols, shapes and objects including Australian coins, formed by skip counting, initially by twos, fives and tens

  Elaborations

  • using number charts, songs, rhymes and stories to establish skip counting sequences of twos, fives and tens
  • using shapes and objects to represent a growing pattern formed by skip counting; for example, using blocks or beads to represent the growing patterns 2, 4, 6, 8, 10 … and 5, 10, 15, 20 …
  • recognising the patterns in sequences formed by skip counting; for example, recognising that skip counting in fives starting from zero always results in either a 5 or zero as the final digit
  • counting by twos, fives or tens to determine how much money is in a collection of coins or notes of the same denomination, for example, 5-cent, 10-cent and $2 coins or $5 and $10 notes
  • using different variations of the popular Korean counting game Sam-yuk-gu for generating skip counting pattern sequences

  VC2M1A01 | Mathematics | Mathematics Version 2.0 | Level 1 | Algebra

• VC2M10AST01

  calculate and interpret the mean and standard deviation of data and use these to compare data sets; investigate the effect of individual data values, including outliers, on the standard deviation

  Elaborations

  • using the standard deviation to describe the spread of a set of data
  • using the mean and standard deviation to compare numerical data sets
  • constructing distributions for the mean and standard deviation of simple random samples from a population

  VC2M10AST01 | Mathematics | Mathematics Version 2.0 | Level 10A | Statistics

• VC2MFN05

  represent practical situations, including simple financial situations, involving addition, subtraction and quantification with physical and virtual materials and use counting or subitising strategies

  Elaborations

  • using role-play and materials to represent mathematical relationships in stories; for example, role-playing ‘Eight kangaroos were drinking at the river and 3 hopped away’, drawing a picture and using materials to represent the situation, discussing, and recording the result of the action with a numeral
  • role-playing or actively engaging in situations that involve quantifying or comparing collections of items or simple money transactions; for example, engaging with the question ‘Do we have enough scissors for our group so that each person has their own pair?’, or role-playing using $1 coins to pay for items in a shop where items are priced in whole dollars
  • representing situations expressed in Aboriginal and/or Torres Strait Islander stories, such as ‘Tiddalick, the greedy frog’, that describe additive situations and their connections to Country/Place
  • representing addition and subtraction situations found in leaf games involving sets of objects used to tell stories, such as games from the Warlpiri Peoples of Yuendumu in the Northern Territory

  VC2MFN05 | Mathematics | Mathematics Version 2.0 | Foundation Level | Number

• VC2M10M03

  solve practical problems by applying Pythagoras’ theorem and trigonometry to right-angled triangles, including problems involving direction and angles of elevation and depression

  Elaborations

  • applying right-angled trigonometry to solve navigation problems involving bearings; for example, determining the bearing and estimating the distance of the final leg of an orienteering course
  • applying Pythagoras’ theorem and trigonometry to problems in surveying and design, where three-dimensional problems are decomposed into two-dimensional problems; for example, investigating the dimensions of the smallest box needed to package an object of a particular length
  • using a clinometer to measure angles of inclination, and applying trigonometry and proportional reasoning to determine the height of buildings in practical contexts
  • applying Pythagoras’ theorem and trigonometry and using dynamic geometry software to design three-dimensional models of practical situations involving angles of elevation and depression; for example, modelling a crime scene
  • exploring navigation, design of technologies or surveying by Aboriginal and Torres Strait Islander Peoples, investigating geometric and spatial reasoning and how these connect to trigonometry 

  VC2M10M03 | Mathematics | Mathematics Version 2.0 | Level 10 | Measurement

• VC2M4M04

  estimate and compare angles using angle names including acute, obtuse, straight angle, reflex and revolution, and recognise their relationship to a right angle

  Elaborations

  • classifying the interior angles of a range of shapes, using examples of angles to identify acute, obtuse, right and reflex angles
  • identifying angles within the environment and estimating whether they are acute, obtuse, right or reflex
  • creating a right-angle template using cardboard or a double-folded piece of paper and using it to compare angles in the environment, commenting on whether they are smaller than or greater than a right angle
  • using different measuring tools such as a spirit level or set squares to determine whether lines or objects are straight, square or perpendicular (at right angles)

  VC2M4M04 | Mathematics | Mathematics Version 2.0 | Level 4 | Measurement

• VCMMG291

  Define congruence of plane shapes using transformations and use transformations of congruent shapes to produce regular patterns in the plane including tessellations with and without the use of digital technology

  Elaborations

  • understanding the properties that determine congruence of triangles and recognising which transformations create congruent figures
  • establishing that two figures are congruent if one shape lies exactly on top of the other after one or more transformations (translation, reflection, rotation), and recognising that the matching sides and the matching angles are equal
  • exploring tiling patterns in art and design

  VCMMG291 | Mathematics | Level 8 | Measurement and Geometry | Geometric reasoning

• VC2M6N07

  solve problems that require finding a familiar fraction, decimal or percentage of a quantity, including percentage discounts, choosing efficient calculation strategies with and without digital tools

  Elaborations

  • explaining how 13 of a quantity can be achieved by dividing by 3, and how knowledge of 13 of a quantity can be used to find 23 or 43 of the same quantity, using situations involving money, length, duration, mass or capacity
  • investigating percentage discounts of 10%, 25% and 50% in an online toy sale, using their equivalent decimal representations of 0.10, 0.25 and 0.50 to calculate the amount of discount on sale items, with and without digital tools
  • linking percentages to their decimal equivalent of tenths and hundredths and using these to determine percentage discounts; for example, finding a 30% discount by using its equivalence to 0.3, dividing by 10 and multiplying the result by 3 to give 30%
  • explaining the equivalence between percentages and fractions, for example, 3313 % and 13 , keeping to percentages that are equivalent to fractions with small denominators such as 6623 % and 12.5%
  • representing a situation with a mathematical expression, for example, numbers and symbols such as 14 × 24, that involves finding a familiar fraction or percentage of a quantity; and using mental strategies or a calculator and explaining the result in terms of the situation in question

  VC2M6N07 | Mathematics | Mathematics Version 2.0 | Level 6 | Number

• VC2M7N06

  use the 4 operations with positive rational numbers, including fractions and decimals, to solve problems using efficient mental and written calculation strategies

  Elaborations

  • solving addition and subtraction problems involving fractions and decimals; for example, using rectangular arrays with dimensions equal to the denominators, algebra tiles, digital tools or informal jottings
  • choosing an appropriate numerical representation for a problem so that efficient computations can be made, such as 12.5%, 18, 0.125 or 1251000
  • developing efficient strategies with appropriate use of the commutative and associative properties, place value, patterning, and multiplication facts to solve multiplication and division problems involving fractions and decimals; for example, using the commutative property to calculate 23 of 12 , giving 12 of 23=13
  • solving multiplicative problems involving fractions and decimals using fraction walls, rectangular arrays, algebra tiles, calculators or informal jottings
  • developing efficient strategies with appropriate use of the commutative and associative properties, regrouping or partitioning to solve additive problems involving fractions and decimals
  • carrying out calculations to solve problems using the representation that makes computations efficient, such as 12.5% of 96 is more efficiently calculated as 18 of 96, including contexts such as comparing land use by calculating the total local municipal area set aside for parkland or manufacturing and retail, the amount of protein in daily food intake across several days, or increases or decreases in energy accounts each account cycle

  VC2M7N06 | Mathematics | Mathematics Version 2.0 | Level 7 | Number

• VC2M6N03

  apply knowledge of equivalence to compare, order and represent common fractions, including halves, thirds and quarters, on the same number line and justify their order

  Elaborations

  • applying factors and multiples to fraction denominators (such as halves with quarters, eighths and twelfths, and thirds with sixths, ninths and twelfths) to determine equivalent representations of fractions in order to make comparisons
  • representing fractions on the same number line, paying attention to relative position, and using this to explain relationships between denominators
  • explaining equivalence and order between fractions using number lines, drawings and models
  • comparing and ordering fractions by placing cards on a string line across the room and referring to benchmark fractions to justify their position; for example, 58 is greater than 12 can be written as 58 > 12 , because half of 8 is 4; 16 is less than 14 , because 6 > 4 and can be written as 16 < 14

  VC2M6N03 | Mathematics | Mathematics Version 2.0 | Level 6 | Number

• VC2M1N02

  partition one- and two-digit numbers in different ways using physical and virtual materials, including partitioning two-digit numbers into tens and ones

  Elaborations

  • building knowledge and understanding of the part-part-whole facts to 10, using physical and virtual materials; for example, using virtual ten-frames through a digital app or website to identify pairs of numbers that combine to make 10
  • using physical and virtual materials to partition numbers into counts of tens and ones; for example, recognising 35 as 3 tens and 5 ones or as 2 tens and 15 ones
  • using part-part-whole reasoning and physical or virtual materials to represent 24, then partitioning 24 in different ways and recording the partitions using numbers; for example, 10, 10 and 4 combine to make 24 or 10 and 14 combine to make 24

  VC2M1N02 | Mathematics | Mathematics Version 2.0 | Level 1 | Number

• 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

• VC2M5P02

  conduct repeated chance experiments, including those with and without equally likely outcomes, and observe and record the results; use frequency to compare outcomes and estimate their likelihoods

  Elaborations

  • discussing and listing all the possible outcomes of an activity and conducting experiments to estimate the probabilities (for example, using coloured cards in a card game and experimenting with shuffling the deck and turning over one card at a time) and recording and discussing the results
  • conducting experiments, recording the outcomes and the number of times the outcomes occur, and describing the relative frequency of each outcome; for example, using ‘I threw the coin 10 times, and the results were 3 times for a head, so that is 3 out of 10, and 7 times for a tail, so that is 7 out of 10’
  • experimenting with and comparing the outcomes of spinners with equal coloured regions compared to unequal coloured regions; and responding to questions such as ‘How does this spinner differ to one where each of the colours has an equal chance of occurring?’, giving reasons
  • comparing the results of experiments using a fair dice and one that has numbers represented on faces more than once, explaining how this affects the likelihood of outcomes
  • using spreadsheets to record the outcomes of an activity and calculate the total frequencies of different outcomes, representing these as a fraction; for example, using coloured balls in a bag, drawing one out at a time and recording the colour, and replacing them in the bag after each draw
  • investigating Aboriginal and/or Torres Strait Islander children’s instructive games (for example, Diyari koolchee from the Diyari Peoples near Lake Eyre in South Australia), to conduct repeated trials and explore predictable patterns, using digital tools where appropriate

  VC2M5P02 | Mathematics | Mathematics Version 2.0 | Level 5 | Probability

• VC2M8SP01

  identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations

  Elaborations

  • developing an understanding of what it means for shapes to be congruent or similar
  • using the enlargement transformation and digital tools to develop sets of similar shapes
  • investigating sufficient conditions to establish that 2 triangles are congruent
  • applying logical reasoning and tests for congruence and similarity, to problems and proofs involving plane shapes
  • comparing angle and side measurements of shapes under transformation to answer questions such as ‘What changes?’ and ‘What stays the same?’
  • establishing that 2 shapes are congruent if one lies exactly on top of the other after one or more transformations, including translations, reflections and rotations, and recognising that the matching sides and the matching angles are equal

  VC2M8SP01 | Mathematics | Mathematics Version 2.0 | Level 8 | Space

• VCMSP372

  Calculate and interpret the mean and standard deviation of data and use these to compare data sets. Investigate the effect of individual data values including outliers, on the standard deviation

  Elaborations

  • using the standard deviation to describe the spread of a set of data
  • using the mean and standard deviation to compare numerical data sets
  • constructing distributions for the mean and standard deviation of simple random samples from a population

  VCMSP372 | Mathematics | Level 10A | Statistics and Probability | Data representation and interpretation

• VCMSP325

  Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’

  Elaborations

  • using stem-and-leaf plots to compare two like sets of data such as the heights of girls and the heights of boys in a class
  • describing the shape of the distribution of data using terms such as ‘positive skew’, ‘negative skew’ and 'symmetric' and 'bi-modal'

  VCMSP325 | Mathematics | Level 9 | Statistics and Probability | Data representation and interpretation

• VC2M1ST01

  acquire and record data for categorical variables in various ways including using digital tools, objects, images, drawings, lists, tally marks and symbols

  Elaborations

  • discussing methods of collecting data to answer a question such as ‘What types of rubbish are found in the playground?’, sharing ideas and trying out some of the suggested methods, reviewing the data collected and explaining how they might change the way they collect data next time
  • collecting and recording information on a topic of interest using lists (for example, ‘How many people follow a particular football team’ or ‘What colour eyes each person has’), examining the data to generate some questions that it could answer, and then rearranging the data or collecting different data to answer the question
  • creating a tally to record data while observing events such as the year level of students using the bike shed, deciding on the possible categories before the observations are taken, and then reviewing the data afterwards to notice whether the tally was effective
  • using star charts with stickers or emojis to represent class data; for example, using emojis on a personal feeling chart to represent how they are feeling each day or using emojis to represent activities on the class calendar
  • exploring ways of representing, sharing and communicating data through stories and symbols used by Aboriginal and Torres Strait Islander Peoples

  VC2M1ST01 | Mathematics | Mathematics Version 2.0 | Level 1 | Statistics