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• VCMSP350

  Construct and interpret box plots and use them to compare data sets

  Elaborations

  • understanding that box plots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
  • using parallel box plots to compare data about the age distribution of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

  VCMSP350 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP351

  Compare shapes of box plots to corresponding histograms and dot plots and discuss the distribution of data

  Elaborations

  • investigating data in different ways to make comparisons and draw conclusions
  • using a dot plot, box-plot or histogram to construct a cumulative frequency distribution for a set of data

  VCMSP351 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP349

  Determine quartiles and interquartile range and investigate the effect of individual data values, including outliers on the interquartile range

  Elaborations

  • finding the five-number summary (minimum and maximum values, median and upper and lower quartiles) and using its graphical representation, the box plot, as tools for both numerically and visually comparing the centre and spread of data sets
  • exploring the effect of varying data values, including outliers, on the interquartile range for different sets of data

  VCMSP349 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• VCMSP354

  Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data

  Elaborations

  • investigating the use of statistics in reports regarding the growth of Australia's trade with other countries of the Asia region
  • evaluating statistical reports comparing the life expectancy of Aboriginal and Torres Strait Islander people with that of the Australian population as a whole

  VCMSP354 | Mathematics | Level 10 | Statistics and Probability | Data representation and interpretation

• 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

• VC2M10ST05

  plan and conduct statistical investigations of situations that involve bivariate data, including where the independent variable is time; evaluate and report findings with consideration of limitations of any inferences

  Elaborations

  • designing statistical investigations that collect bivariate data over time through observation, experiment or measurement; graphing, interpreting and analysing data; and reporting within the context of the statistical investigation question
  • investigating and comparing anecdotal claims with data collected from well-constructed surveys, including those concerning climate, housing affordability and natural resources, with consideration of data validity and limitations of interpolation or extrapolation
  • using a statistical investigation to address the question ‘Is there a relationship between vaccines and immunity from a virus?’
  • investigating biodiversity changes in Australia before and after colonisation by comparing related bivariate numerical data, discussing and reporting on associations

  VC2M10ST05 | Mathematics | Mathematics Version 2.0 | Level 10 | Statistics

• VC2M10ST02

  construct scatterplots and consider a line of good fit; comment on the association between the 2 numerical variables in terms of strength, direction and linearity

  Elaborations

  • discussing the difference between association and cause and effect, and relating this to situations such as health, diversity of species and climate
  • using statistical evidence to make, justify and critique claims about association between variables, such as in contexts of climate change, migration, online shopping and social media 
  • informally using a line of good fit by eye and using digital tools to compare and discuss the reliability of any predictions
  • investigating the relationship between 2 variables of spearthrowers used by Aboriginal and Torres Strait Islander Peoples by using data to construct scatterplots, make comparisons and draw conclusions 

  VC2M10ST02 | Mathematics | Mathematics Version 2.0 | Level 10 | Statistics

• 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

• VC2M10ST01

  compare data distributions for continuous numerical variables using quartiles and interquartile range and appropriate data displays including boxplots, histograms and dot plots; discuss the shapes of these distributions in terms of centre, spread, shape and outliers in the context of the data

  Elaborations

  • finding the five-number summary (minimum and maximum values, median and upper and lower quartiles) and using its graphical representation, the boxplot, as tools for both numerically and visually comparing the centre and spread of data sets
  • exploring the effect of varying data values, including outliers, on the interquartile range for different sets of data
  • constructing and interpreting boxplots and using them to compare data sets, understanding that boxplots are an efficient and common way of representing and summarising data and can facilitate comparisons between data sets
  • comparing shapes of distributions using boxplots, histograms, cumulative frequency graphs and dot plots, discussing symmetry, skew and modality
  • using digital tools to compare boxplots and histograms as displays of the same data in the light of the statistical questions being addressed and the effectiveness of the display in helping to answer the question
  • comparing the information that can be extracted and the stories that can be told about continuous and discrete numerical data sets that have been displayed in different ways, including histograms, dot plots, boxplots and cumulative frequency graphs

  VC2M10ST01 | Mathematics | Mathematics Version 2.0 | Level 10 | Statistics

• VCNRC108

  Respond to imaginative texts by expressing personal preferences, feelings and opinions about themes, mood and language choices

  Elaborations

  • discussing the themes and moods of an imaginative text and sharing how they feel about them with others
  • reading stories such as folktales stories and discussing their opinion about the values portrayed in these
  • comparing themes in imaginative texts, such as contemporary stories, films and cartoons, expressing opinions and making connections with own experiences
  • analysing the language choices in an imaginative text and discussing feelings and opinions about the impact of these choices

  VCNRC108 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 9 and 10 | Communicating | Creating

• VCNRC112

  Interact with speakers of the language being studied and resources, recognising that intercultural communication involves shared responsibility for communication

  Elaborations

  • interacting with language speakers, for example, with students from a sister school, reflecting on how language choices might be interpreted by language speakers and making adjustments to convey intended meaning
  • sharing language and cultural experiences with peers and others, for example, reporting on in-country experience, and exploring the reciprocal nature of intercultural communication
  • reflecting on incidents and repair strategies outlined in discussions and journals using the language when, for example, encountering misunderstandings in communication
  • examining reactions to different perceptions and expectations around same and different cultural practices in the Australian and contexts from the language being studied

  VCNRC112 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 9 and 10 | Communicating | Reflecting

• VCNRC106

  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 celebration, and identifying cultural use of language
  • compiling and comparing perspectives on social and cultural issues in communities that speak the language being studied, such as comparing attitudes to sport
  • identifying different perspectives in a range of texts that relate to social and cultural issues such as special occasions, and associated greetings
  • exploring and gathering information on a range of cultural practices through a variety of sources, for example, excerpts from a song

  VCNRC106 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 9 and 10 | Communicating | Informing

• VCNRC110

  Translate and interpret a range of community and social media texts such as posters, advertisements and blogs, identifying and explaining words or expressions of specific cultural significance

  Elaborations

  • examining and interpreting idiomatic expressions including expressions which cannot be translated literally
  • examining culturally specific terms and developing appropriate explanations for them and discussing possible equivalent terms in English
  • discussing colloquial language use in Australia and comparing this with expressions from the language being studied, and exploring this in relation to culture
  • translating public signs, notices and slogans comparing each other’s versions and considering reasons for any similarities or differences

  VCNRC110 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 9 and 10 | Communicating | Translating

• VCNRC069

  Initiate, sustain and extend interactions by exchanging experiences, seeking and giving advice, and discussing aspirations and relationships

  Elaborations

  • sustaining interactions with others by acknowledging, asking for repetition or clarification or questioning further
  • interviewing peers to extract information on and evaluate views about aspects of life such as school, future aspirations and relationships, and discussing as a class the major themes and concerns that emerge
  • sharing opinions with peers about events and interests, and incorporating language to express emotions and responses such as approval, gratitude, regret and appreciation
  • exchanging information with peers in countries where the language is spoken, such as through letters, emails or online discussions, about aspects of school, youth lifestyle and social issues, using comparisons when expressing thoughts and ideas

  VCNRC069 | Capabilities | Personal and Social Capability | Levels 9 and 10 | Communicating | Socialising

• VCNRC073

  Adapt and present information, ideas and opinions on a range of issues in a variety of text types and modes selected to suit audience and purpose

  Elaborations

  • presenting texts on a range of topics to inform others, for example, a weather report, a magazine article about an event, a travel brochure promoting a local region or product
  • designing texts such as an advertisement or magazine cover for a particular audience, explaining cultural references and using techniques and effects such as images, music and colour
  • conveying own ideas and information in a range of texts for different audiences, using examples of media texts such as television reports, video clips or social media
  • presenting ideas and information selected from samples of spoken, written and digital texts which convey cultural as well as content information, for example, newspaper headlines, advertisements, notices in public places or graffiti
  • creating informative texts for a range of audiences, such as posters, brochures and web pages promoting new music releases, a favourite holiday destination, a healthy lifestyle

  VCNRC073 | Capabilities | Personal and Social Capability | Levels 9 and 10 | Communicating | Informing

• VCNRC107

  Adapt and present information and ideas on a variety of topics using presentation modes selected to suit different audiences and to achieve specific purposes

  Elaborations

  • expressing opinions of an event or performance, such as a contemporary film or a theatre performance
  • presenting information in different formats, such as captioned photographs, PowerPoints or emails, on cultural events
  • explaining a custom or practice from the culture of the target language to an Australian audience, using simple language and supporting graphics, materials and gestures
  • creating persuasive texts, such as brochures or video clips, for example, to encourage people from the wider community to attend a cultural event
  • conveying information in texts, such as brochures, notices, cartoons, video clips, to introduce and explain aspects of the art, history and culture of the language and their influence

  VCNRC107 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 9 and 10 | Communicating | Informing

• VCNRC113

  Consider how cultural identity influences interactions in culturally and linguistically diverse contexts such as Australia

  Elaborations

  • developing an understanding of contemporary life in diverse communities who speak the language being studied, for example, through viewing excerpts from films, and reflecting on similarities and differences to own lifestyle
  • preparing a family tree with information such as languages spoken by family members, significant places/countries, and reflecting on how background can shape identity
  • exploring how cultural identity is manifested in Australian and communities that speak the language being studied, for example, through family occasions, community events and festivals, reflecting on the importance of shared understanding
  • reflecting on the experience of learning and using the language, considering how it may add a further dimension to own sense of identity

  VCNRC113 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 9 and 10 | Communicating | Reflecting

• VCNRC074

  Interpret and discuss different imaginative texts, expressing and justifying opinions on aspects such as themes, mood, emotions and language choices

  Elaborations

  • interpreting images and language choices to convey cultural concepts and ideas in songs, films and performances
  • reading, viewing and listening to imaginative texts in a variety of modes to explore and discuss the representation of aspects of society and culture of countries where the language is spoken, for example, current social themes such as youth issues, identity
  • discussing how imaginative texts such as films, plays and songs portray social issues in everyday life such as relationships, generation gap
  • responding to texts to explain how mood is created and narrative developed through language and expression, language choice, use of metaphors, humour, suspense, surprise
  • analysing imaginative texts, to discuss how language, culture and literary devices are used to portray characters, places or events in order to evoke humorous or emotional responses
  • comparing lyrics, themes and popular styles with English language songs, explaining similarities and differences in language use, cultural aspects and modes of expression

  VCNRC074 | Capabilities | Personal and Social Capability | Levels 9 and 10 | Communicating | Creating

• VCNRC072

  Obtain, analyse and evaluate information and ideas from multiple spoken, written, print or digital sources on a range of issues

  Elaborations

  • gathering information from different sources and reporting to others, for example, interpreting a weather report
  • extracting information, discussing gist and evaluating main ideas of texts, such as a conversation, film or music review, advertisement or article
  • analysing reports of an event from a range of sources, and comparing different perspectives
  • listening to, reading and viewing informational texts such as news reports or feature articles, noting key words, specialised terms or points of information to be used in own news report
  • researching aspects of culture and choosing and explaining a particular course of action, for example, a suitable time to visit countries where the language is spoken, or a suitable holiday for visitors to Australia, for example, designing a poster in the language for visitors to Australia

  VCNRC072 | Capabilities | Personal and Social Capability | Levels 9 and 10 | Communicating | Informing

• VCNRC076

  Translate and analyse a range of texts comparing interpretations and explaining differences in meaning

  Elaborations

  • exchanging translations of familiar texts with peers, through email or shared spaces such as ePals, and discussing different versions in order to develop a whole-class translation
  • translating, analysing and explaining expressions and idioms encountered in texts, finding ways to convey the meaning and cultural significance
  • translating stories for others, analysing how words can have different meanings when used in different ways in a sentence and explaining the differences to others
  • translating texts to identify and evaluate cultural elements and influences, for example, proverbs and sayings

  VCNRC076 | Capabilities | Personal and Social Capability | Levels 9 and 10 | Communicating | Translating