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• VC2M1N06

  use mathematical modelling to solve practical problems involving equal sharing and grouping; represent the situations with diagrams, physical and virtual materials, and use calculation strategies to solve the problem

  Elaborations

  • modelling problems involving repeated equal group situations, such as ‘How many wheels are needed for 3 cars?’, using materials and drawing a picture to show what they did, and recording the results with a number
  • modelling practical problems involving equal sharing situations; for example, sharing a set of dominoes between the 2 players in a game, and then counting or subitising to ensure they both have the same number of tiles
  • modelling money problems involving equal sharing; for example, sorting coins from a moneybox according to their denominations, sharing the coins equally between 4 people, and using counting or subitising to ensure they have equal amounts of each denomination

  VC2M1N06 | Mathematics | Mathematics Version 2.0 | Level 1 | Number

• VC2M4P02

  conduct repeated chance experiments to observe relationships between outcomes in games and other chance situations, and identify and describe the variation in results

  Elaborations

  • playing games such as noughts-and-crosses or First to 20 and deciding if it makes a difference who goes first and whether you can use a particular strategy to increase your chances of winning
  • recording and ordering the outcomes of experiments using different physical or virtual random generators such as coins, dice and a variety of spinners
  • experimenting with tossing 2 coins at the same time, recording and commenting on the chance of outcomes after a number of tosses
  • shuffling a set of cards, drawing a card at random, and recording whether it was a spade, club, diamond or heart, or a picture card or numbered card; and repeating the experiment a number of times and discussing the results

  VC2M4P02 | Mathematics | Mathematics Version 2.0 | Level 4 | Probability

• VC2M10ST03

  construct two-way tables and discuss possible relationship between categorical variables

  Elaborations

  • using two-way tables to investigate and comparing the survey responses to questions involving five-point Likert scale against 2 different categories of respondents, for example, junior students’ responses compared to senior students’ responses to a survey question
  • recording data in two-way tables and using percentages and proportions to identify patterns and associations in the data
  • conducting a litter survey around the school, considering the relationship between different categorical variables such as the day of the week (as canteen specials might lead to different types of litter) or the weather (due to hot days leading to more icy poles and cold drinks being sold)

  VC2M10ST03 | Mathematics | Mathematics Version 2.0 | Level 10 | Statistics

• VC2M4A02

  recall and demonstrate proficiency with multiplication facts up to 10 × 10 and related division facts, and explain the patterns in these; extend and apply facts to develop efficient mental and written strategies for computation with larger numbers without a calculator

  Elaborations

  • using arrays on grid paper or created with blocks or counters to develop, represent and explain patterns in multiplication facts up to 10 × 10; and using the arrays to explain the related division facts
  • using materials or diagrams to develop and record multiplication strategies such as doubling, halving, commutativity and adding one more or subtracting from a group to reach a known fact; for example, creating multiples of 3 on grid paper and doubling to find multiples of 6, and recording and explaining the connections to the × 3 and × 6 multiplication facts: 3, 6, 9, … doubled is 6, 12, 18, …
  • using known multiplication facts for 2, 3, 5 and 10 to establish multiplication facts for 4, 6, 7, 8 and 9 in different ways; for example, using multiples of 10 to establish the multiples of 9 as ‘to multiply a number by 9 you multiply by 10 then take the number away’: 9 × 4 = 10 × 4 − 4, so 9 × 4 is 40 − 4 = 36; or using multiples of 3 as ‘to multiply a number by 9 you multiply by 3, and then multiply the result by 3 again’
  • using arrays and known multiplication facts for twos and fives to develop the multiplication facts for sevens, applying the distributive property of multiplication; for example, when finding 6 × 7, knowing that 7 is made up of 2 and 5, and using an array to show that 6 × 7 is the same as 6 × 2 + 6 × 5 = 12 + 30, which is 42

  VC2M4A02 | Mathematics | Mathematics Version 2.0 | Level 4 | Algebra

• VC2M1N04

  add and subtract numbers within 20, using physical and virtual materials, part-part-whole knowledge to 10 and a variety of calculation strategies

  Elaborations

  • using drawings, physical and virtual materials, and number combinations within 10 to add and subtract collections to 20
  • adding and subtracting numbers within 20, using a variety of representations and strategies, such as counting on, counting back, partitioning and part-part-whole knowledge of numbers to 10; for example, using partitioning and combining 7+5=7+3+2=10+2=12
  • developing and using strategies for one-digit addition and subtraction based on part-part-whole relationships for each of the numbers to 10 and subitising with physical and virtual materials; for example, 8 and 6 is the same as 8 and 2 and 4
  • representing story problems involving addition and subtraction of numbers within 20 using a Think Board; recognising and using + and − symbols and the equal sign (=) to represent the operations of addition and subtraction; and showing and explaining the connections between any materials used using the language of plus and minus, and the numbers within the story problem
  • creating and performing addition and subtraction stories told through Aboriginal and/or Torres Strait Islander dances

  VC2M1N04 | Mathematics | Mathematics Version 2.0 | Level 1 | Number

• VCASFC077

  Prepare and present researched information on a range of issues, considering the context in which the information will be received

  Elaborations

  • presenting a sustained signed explanation on a given topic, using information selected from a range of sources to suit the intended audience
  • using evidence selected from independent research sources and evaluative or persuasive language to respond to arguments about issues such as eugenics, deaf technology or interpreter ethics
  • presenting information on current affairs or news items, identifying bias and the effect of context on the shaping of texts
  • arguing a predetermined, evidence-based position in a panel discussion/debate on controversial questions, for example, the inclusion of deaf members of a jury
  • designing the presentation of an Auslan text for a vlog that requires voice interpreting with notes to indicate emphasis and to clarify meaning
  • providing explanations of abstract or technical concepts, such as poverty or radiation from uranium, shaping the style of the presentation to suit the intended audience, for example through significant use of depicting signs
  • presenting an interpretation of graphs and statistics that provide information relating to the Deaf community, discussing findings and making predictions about future changes or patterns

  VCASFC077 | Languages | Auslan | First Language Learner | F–10 Sequence | Levels 9 and 10 | Communicating | Informing

• VCASFC112

  Identify, paraphrase or compare information obtained from a variety of signed texts or from their own data collection and present the information in different forms

  Elaborations

  • retelling key points of multistep information used in classroom interactions, such as announcements or directions for a task
  • watching signed texts that show people expressing likes and dislikes and recording and organising their observations in table form
  • watching a presentation by a teacher or peer, identifying specific points of information, such as where they went for a holiday or what activities they did
  • surveying peers in relation to their interests and preferences, categorising and comparing findings in charts or graphs
  • following the steps of a signed demonstration of procedures, such as how to cook something or play a new game
  • learning new Auslan vocabulary and language structures through interacting with Deaf visitors, teachers and mentors, recording the new language in personal sign dictionaries
  • viewing live or recorded interviews or informal conversations between deaf people in different situations and contexts, identifying key points and topics covered
  • viewing different types of signed texts, such as instructional sports videos or science demonstrations, showing understanding by responding to questions

  VCASFC112 | Languages | Auslan | First Language Learner | 7–10 Sequence | Levels 9 and 10 | Communicating | Informing

• VCASFC022

  Collect, classify and paraphrase information from a variety of Auslan texts and sources used in school and in the Deaf community

  Elaborations

  • recalling specific points of information in signed classroom instructions or descriptions and responding to comprehension questions in Auslan
  • paraphrasing the content of selected community texts, such as public service or promotional announcements on the Deaf Emergency Info website
  • conducting an interview with a member of the Deaf community and reporting back to the class on key points
  • using factual questions to request information about planned events or activities, for example in relation to details such as place, time or cost
  • surveying peers about interests, preferences or routines, presenting findings in formats such as profiles, charts or graphs
  • locating, organising and presenting information from Auslan resources related to other learning areas, such as science materials or cooking demonstrations, for example, Sign & Cook for Kids (Auslan Storybooks)
  • learning new Auslan vocabulary and language structures through interacting with Deaf visitors and mentors, recording the new language in personal sign dictionaries

  VCASFC022 | Languages | Auslan | First Language Learner | F–10 Sequence | Levels 3 and 4 | Communicating | Informing

• VCASFC040

  Identify, summarise and compare information obtained from different types of Auslan texts or from their own data collection

  Elaborations

  • viewing different types of informative Auslan texts, such as instructional sports videos or science demonstrations, showing understanding by responding to questions in Auslan
  • viewing live or recorded interviews or informal conversations between Auslan users in different situations and contexts, summarising key points and topics covered
  • collating and analysing information obtained from Auslan media reports on people or events, organising the information visually in a mind map
  • surveying a range of hearing and deaf people on an issue of shared interest, analysing and presenting results through short signed presentations or in chart, graph or table form
  • interviewing a deaf adult about their educational experiences and comparing these with their own
  • summarising and contrasting information contained in two differently sourced Auslan texts on a selected topic
  • summarising key ideas and information provided by deaf visitors using active watching behaviours and contributing questions and responses

  VCASFC040 | Languages | Auslan | First Language Learner | F–10 Sequence | Levels 5 and 6 | Communicating | Informing

• VCDEC005

  Present in modelled spoken and written texts information relating to own world and that of other teenagers

  Elaborations

  • presenting information, orally and in writing, on aspects of their immediate environment or personal world (a school/community event, celebration or excursion, or a new student), supported by the use of visuals
  • creating simple persuasive and informative texts for a targeted audience, for example, an advertisement for an event, a virtual tour of their own and/or a partner school, a notice for a school excursion, or a report on a favourite band or type of music
  • presenting statistics related to Australia and other countries, including German-speaking countries, for example, population and physical size, daily temperatures, number and type of dwellings, percentage of students learning one or two foreign languages
  • presenting the results of a class survey, for example, creating graphs and/or writing statements to report findings on such topics as the range of leisure activities undertaken by classmates; favourite apps/electronic games, TV series, food, music or pets; or amount of time spent using social media

  VCDEC005 | Languages | German | 7–10 Sequence | Levels 7 and 8 | Communicating | Informing

• VCDTDI028

  Acquire, store and validate different types of data and use a range of software to interpret and visualise data to create information

  Elaborations

  • using digital systems to validate data, for example setting data types in a spreadsheet to make sure a date is input correctly
  • selecting and using peripheral devices suitable to the data type, for example using a data probe to collect numeric data about changing soil temperatures for plants, interpreting the data and sharing the results as a digital graph
  • recognising the difference between numerical, text and date formats in spreadsheets
  • using software to automate calculations to help with interpreting data, for example using functions to make arithmetic calculations using multiple cells and summing cell ranges
  • acquiring data from online sources by narrowing the focus, for example filtering data using provided options or performing queries using advanced search functions
  • using data visualisation software to help in interpreting trends, for example uploading data to a web application and building a visualisation of the dataset

  VCDTDI028 | Technologies | Digital Technologies | Levels 5 and 6 | Data and Information

• VCELC021

  Obtain, analyse and use information from a range of spoken, written, digital and visual texts, identifying and comparing perspectives on social and cultural issues

  Elaborations

  • listening to, reading or viewing a range of texts, for example, a recount of a name day celebration, and identifying cultural use of language, for example, Και του χρόνου, Καλή όρεξη
  • identifying how certain expressions give clues to a particular event, for example, Καλό ταξίδι, Στο καλό, Και στα δικά σου, Καλή αντάμωση!
  • compiling and comparing perspectives on social and cultural issues in Greek-speaking communities, such as comparing attitudes to sport, presenting information in graphs or charts
  • identifying different perspectives in a range of texts that relate to social and cultural issues such as special occasions, for example, 1st of January and gift giving, 1st of May, and associated greetings such as Καλή Χρονιά, Καλό μήνα, Καλή εβδομάδα, Καλό καλοκαίρι
  • exploring and gathering information on a range of cultural practices through a variety of sources, for example, excerpts from a Greek song

  VCELC021 | Languages | Modern Greek | 7–10 Sequence | Levels 9 and 10 | Communicating | Informing

• VCESC149

  Present information about aspects of language and culture in the Spanish-speaking world for specific audiences, using diagrams, charts, timelines and guided reports

  Elaborations

  • presenting factual information relating to cultural activities and events of significance in the Spanish-speaking world, such as las Fallas, el Día de los Muertos, carnavales in Bolivia, candombe in Uruguay, romerías, procesiones religiosas and el camino de Santiago, supporting information with a range of visual, digital and multimodal resources
  • using graphic organisers to convey information in ways that suit specific purposes and content, for example, lists or tables to show priorities, Venn diagrams to compare statistics or ideas, graphs to highlight frequency or timelines to narrate sequences of events
  • conveying information relating to significant people, places or events in different formats, for example, an advertisement or poster for an event, a profile of a Spanish-speaking celebrity or a digital guide to a place of interest
  • creating an interactive display for younger children, highlighting aspects of Spanish language and Hispanic culture

  VCESC149 | Languages | Spanish | F–10 Sequence | Levels 5 and 6 | Communicating | Informing

• VCGGC104

  Analyse maps and other geographical data and information using digital and spatial technologies as appropriate, to develop identifications, descriptions, explanations and conclusions that use geographical terminology

  Elaborations

  • using aerial images of contrasting places to identify differences in housing density
  • using graphs, weather maps and satellite images to examine the temporal and spatial patterns of a selected hydrological hazard in Australia and another region of the world, such as countries of the Asia region, or from the Pacific region
  • using digital maps and overlays of an area to observe, describe and contrast the spatial associations of geographical phenomena. For example, the relationship between economic activities and river systems and the availability of surface water
  • interpreting topographic maps and digital terrain models, cross-sections or block diagrams to investigate landforms and their features
  • reviewing the results of an analysis to propose and defend answers to a question, emphasising at least one of the geographical concepts of place, space, environment, interconnection, sustainability, scale or change

  VCGGC104 | The Humanities | Geography | Levels 7 and 8 | Geographical Concepts and Skills | Data and information

• VCGGC090

  Interpret maps and other geographical data and information using digital and spatial technologies as appropriate, to develop identifications, descriptions, explanations and conclusions that use geographical terminology

  Elaborations

  • interpret a variety of thematic maps to investigate the environmental and human characteristics of Europe, North America and the Asia region
  • using climate graphs they have constructed to interpret and compare the climate of different places
  • identifying possible relationships by comparing maps of spatial distributions, for example, maps of vegetation and incidence of bushfires, or the per capita income of countries and life expectancy
  • presenting a report using graphics and maps as evidence of an investigation into a local environmental or planning issue and using geographical terms, such as relative location, scale, climate, cultural diversity , reflecting on what they have learned, and suggesting additional questions that could be investigated
  • exploring cause-and-effect relationships, for example, between low income and poor health, using graphic organisers and concept maps

  VCGGC090 | The Humanities | Geography | Levels 5 and 6 | Geographical Concepts and Skills | Data and information

• VCJAC130

  Locate and process specific points of information in familiar types of written, spoken, multimodal and digital texts associated with people, places and objects

  Elaborations

  • finding examples of Japanese language at home or in the community to create a class collection, display or digital database of terms related to recipes, toys, gadgets or menus
  • viewing or listening to a simple community text such as a weather report, recognising key words such as はれ、くもり
  • identifying features of seasons and tracking the progress of seasonal weather changes on a map of Japan, for example, reports of さくら、つゆ、こうよう
  • gathering information about one another’s home life and activities, for example, by surveys on pets, sports, activities, families, or likes and dislikes, using graphs to display results
  • viewing or reading simple print or digital texts such as advertisements, catalogues, menus or packaging to locate key points of information in relation to elements such as product, number, price, target audience or capacity for recycling

  VCJAC130 | Languages | Japanese | F–10 Sequence | Levels 3 and 4 | Communicating | Informing

• VCKOC137

  Identify topics and key points of factual information in short spoken, written, digital and multimodal texts related to familiar contexts, routines and interests

  Elaborations

  • gathering information about other people’s activities, for example, by surveying peers about weekend or daily activities, for example, 주말에 뭐 해요? 수영해요; 오늘 뭐 해요? 학교에 가요
  • compiling information and reporting it to others, for example, by making a shared class graph showing popular leisure activities
  • listening to short spoken texts with some unfamiliar language, identifying points of information, for example, the name and number on a recorded phone message, the age of a child interviewed
  • obtaining and using factual information from print, digital or multimodal texts related to other learning areas, for example, completing a simple science experiment, naming countries and significant land features, or recording distances using geography skills

  VCKOC137 | Languages | Korean | F–10 Sequence | Levels 3 and 4 | Communicating | Informing

• 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

• VC2M10ST04

  analyse claims, inferences and conclusions of statistical reports in the media and other places, by linking claims to displays, statistics and representative data, including ethical considerations and identification of potential sources of bias

  Elaborations

  • identifying potentially misleading data representations in the media such as graphs with broken axes and scales that do not start at zero or are nonlinear; and recognising when data is not relating to the claim, not representative of the population or is deliberately being used to mislead or support a claim or biased point of view
  • investigating the source and size of the sample from which the data was collected and deciding whether the sample is appropriately representative of the population 
  • investigating population proportions and rates, and discussing potential ethical considerations, for example, when presenting statistical data involving infection rates and the number of cases per head of population
  • discussing the ethical considerations associated with collecting data to predict the number of people likely to be infected with a strain of flu or experience side effects with a certain medication, considering validity claims and sample sizes
  • using the concept of Indigenous data sovereignty to critique and evaluate the Australian Government’s ‘Closing the Gap’ report 

  VC2M10ST04 | Mathematics | Mathematics Version 2.0 | Level 10 | Statistics

• VC2M9ST04

  choose appropriate forms of display or visualisation for a given type of data; justify selections and interpret displays for a given context

  Elaborations

  • comparing data displays using mean, median and range to describe and interpret numerical data sets in terms of centre and spread using histograms, dot plots or stem-and-leaf plots
  • choosing the type of representations based on the data type: categorical (nominal or ordinal) or numerical (discrete or continuous)
  • using different visualisations of data, including non-standard representations such as infographics, and discussing their purpose and intended audience, and evaluating how well they communicate responses to statistical questions of interest
  • comparing and interpreting stacked bar charts, area charts and line graphs, discussing how they represent larger categories that can be subdivided into smaller categories and how information that can be obtained from these displays can be used for comparison

  VC2M9ST04 | Mathematics | Mathematics Version 2.0 | Level 9 | Statistics