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• VC2M6ST03

  plan and conduct statistical investigations by posing and refining questions to collect categorical or numerical data by observation or survey, or identifying a problem and collecting relevant data; analyse and interpret the data and communicate findings within the context of the investigation

  Elaborations

  • selecting and using appropriate peripherals; for example, using a scientific probe to collect data about changing soil moisture for plants, interpreting the data and sharing the results as a digital chart
  • using a spreadsheet to record and analyse data, recognising the difference between cell formats in spreadsheets; for example, changing the default general format to numerical, text or date as needed
  • investigating the daily water usage by a student in the home compared to the World Health Organization claim that between 50 and 100 litres of clean water is needed per person per day
  • collecting sample sets of ‘discrete numerical data’ (for example, the number of cars or pets in a household), where the class is surveyed, then other classes are surveyed, and data is analysed and compared, discussing findings
  • collecting ordinal categorical data through the use of a survey; for example, surveying each member of the class, by asking them to indicate their preference on a five-point scale for a particular graphic and colour combination of a proposed school logo
  • collecting ordinal data for ranking nominees for school captain with respect to several criteria, contrasting the use of a five-point scale compared with using a four-point scale

  VC2M6ST03 | Mathematics | Mathematics Version 2.0 | Level 6 | Statistics

• VC2M5ST02

  interpret line graphs representing change over time; discuss the relationships that are represented and conclusions that can be made

  Elaborations

  • reading and interpreting different line graphs, discussing how the horizontal axis represents measures of time such as days of the week or times of the day, and the vertical axis represents numerical quantities or ordinal categorical variables such as percentages, money, measurements or ratings such as fire hazard ratings
  • interpreting real-life data represented as a line graph showing how measurements change over a period of time, and make simple inferences
  • matching unlabelled line graphs to the context they represent based on the stories of the different contexts
  • interpreting the data represented in a line graph, making inferences; for example, reading line graphs that show the varying temperatures or ultraviolet (UV) rates over a period of a day and discussing when would be the best time to hold an outdoor assembly

  VC2M5ST02 | Mathematics | Mathematics Version 2.0 | Level 5 | Statistics

• VC2M7ST03

  plan and conduct statistical investigations for issues involving discrete and continuous numerical data, and data collected from primary and secondary sources; analyse and interpret distributions of data and report findings in terms of shape and summary statistics

  Elaborations

  • obtaining secondary data from newspapers, the internet or the Australian Bureau of Statistics
  • investigating secondary data relating to the distribution and use of non-renewable resources around the world
  • conducting an investigation to draw conclusions about whether teenagers have faster reaction times than adults
  • conducting an investigation to support claims that a modification of a science, technology, engineering and mathematics (STEM) related design has improved performance
  • using secondary data from the Australian Reconciliation Barometer to conduct and report on statistical investigations relating to Aboriginal and Torres Strait Islander Peoples

  VC2M7ST03 | Mathematics | Mathematics Version 2.0 | Level 7 | Statistics

• VC2M8ST03

  compare variations in distributions and proportions obtained from random samples of the same size drawn from a population and recognise the effect of sample size on this variation

  Elaborations

  • comparing the proportion of students in favour of a proposal for a change in school uniform between different random samples of 50 students from the school population
  • using digital tools to simulate repeated sampling of the same population, such as heights or arm spans of students, recording and comparing means, median and range of data between samples
  • using relative frequencies from historical data to predict proportions and the likely number of outcomes in situations such as weather forecasting or the countries of origin of visitors to tourist attractions
  • investigating the effect that adding or removing data from a data set has on measures of central tendency and spread
  • investigating Aboriginal and/or Torres Strait Islander ranger groups and other groups’ use of sampling techniques to track biodiversity of species

  VC2M8ST03 | Mathematics | Mathematics Version 2.0 | Level 8 | Statistics

• VC2M9ST05

  plan and conduct statistical investigations involving the collection and analysis of different kinds of data; report findings and discuss the strength of evidence to support any conclusions

  Elaborations

  • planning and conducting an investigation using questions together with analysis of a secondary data set collected from online databases such as the Australian Bureau of Statistics
  • planning and conducting an investigation relating to consumer spending habits; and modelling market research on what teenagers are prepared to spend on technology compared to clothing, with consideration of sample techniques and potential sources of bias
  • investigating where would be the best location for a tropical fruit plantation, by conducting a statistical investigation comparing different variables such as the annual rainfall in various parts of Australia, Indonesia, New Guinea and Malaysia, land prices and associated farming costs
  • posing statistical questions; collecting, representing and interpreting data from different sources in relation to reconciliation between Aboriginal and Torres Strait Islander Peoples and non-Indigenous Australians; and considering the relationships between variables

  VC2M9ST05 | Mathematics | Mathematics Version 2.0 | Level 9 | 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

• VC2M2ST02

  create different graphical representations of data using software where appropriate; compare the different representations, and identify and describe common and distinctive features in response to questions

  Elaborations

  • collecting data from a limited list of choices, creating 2 different graphical representations of the data, and discussing and comparing the different representations; for example, asking the class to choose their favourite colour from a given set, then co-creating a picture graph with colours on the horizontal axis and comparing it to a column graph with colours on the horizontal axis and numbers on the vertical axis
  • creating different data displays (for example, lists, tally charts, jointly created column graphs and picture graphs) to represent a data set, describing the information that each display represents and discussing how easy or hard they are to interpret and why
  • using digital tools to create picture graphs to represent data using one-to-one correspondence, deciding on an appropriate title for the graph and considering whether the categories of data are appropriate for the context
  • comparing picture graphs with one-to-one column graphs of the same data, interpreting the data in each and saying how they are the same and how they are different; for example, collecting data on the country of birth of each student and creating different pictographs to represent classroom data
  • using dot plots, sticker charts, picture graphs, bar charts and column graphs to represent data

  VC2M2ST02 | Mathematics | Mathematics Version 2.0 | Level 2 | Statistics

• VC2M4ST02

  analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data

  Elaborations

  • suggesting questions that can be answered by a given data display and using the display to answer these questions
  • interpreting data representations in the media and other forums where symbols represent one-to-many relationships and how this can be challenging when the representations use part-whole representations
  • comparing different student-generated diagrams, tables and graphs, describing their similarities and differences and commenting on the usefulness of each representation for interpreting the data

  VC2M4ST02 | Mathematics | Mathematics Version 2.0 | Level 4 | Statistics

• VC2M4ST03

  conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results

  Elaborations

  • creating a survey to collect class responses to a preferred movie choice, and recording data responses using spreadsheets; graphing data using a column graph or other appropriate representations; and interpreting the results of the survey and reporting findings back to the class
  • conducting a statistical investigation and acquiring data from different online sources; for example, using online query interfaces to select and retrieve data from an online database such as weather records, data frequency mapping software such as Google Trends, or the World Health Organization
  • investigating different contexts in which statistical investigations can take place and the types of questions to ask to collect data relevant to the context; for example, investigating supermarket customer complaints that breakfast cereals with the most sugar are positioned at children’s eye level, discussing what questions they would need to ask and answer

  VC2M4ST03 | Mathematics | Mathematics Version 2.0 | Level 4 | 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

• VCNRC020

  Participate in everyday classroom activities, such as asking for permission, requesting help, asking how to say or write something, and praising or encouraging peers

  Elaborations

  • asking for permission and requesting help using frequently used phrases
  • asking how to say or write a word or expression
  • praising and encouraging peers
  • using words, phrases or interjections which can be used in conversation

  VCNRC020 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Socialising

• VCNRC035

  Initiate interactions and exchange information with peers, describing feelings and preferences, aspects of daily life, school, friends and hobbies

  Elaborations

  • asking and responding to questions to exchange information about shared interests, hobbies or friends
  • sharing experiences and feelings, such as weekend activities and likes/dislikes using set phrases
  • using communication strategies such as active listening skills, turn-taking cues and requests for clarification or more detail to support the exchange of information
  • comparing routines, interests and hobbies, using language associated with time, sequence and location

  VCNRC035 | Capabilities | Critical and Creative Thinking | Levels 5 and 6 | Communicating | Socialising

• VCNRC003

  Participate with teacher and peers in class routines and activities, such as following instructions and taking turns

  Elaborations

  • following classroom instructions
  • participating in routine exchanges, such as opening and closing lessons, naming the day of the week, responding to the class roll, and when moving between activities
  • taking turns in games and action songs using repetitive language and songs

  VCNRC003 | Languages | Non-Roman Alphabet Languages | F–10 Sequence | Foundation to Level 2 | Communicating | Socialising

• VCNRC045

  Share experiences of learning and using the language being studied, and reflect on the effect of language learning on own identity

  Elaborations

  • preparing a class profile to exchange with students who speak the language being studied, showing language backgrounds and interests represented in the class, using captions and symbols such as flags and words from different languages
  • exploring the idea of stereotypes associated with languages and identities, and discussing how stereotypes affect attitudes and communication and can be inaccurate
  • exploring how their linguistic and cultural background, for example, languages spoken, key relationships and intercultural experiences, influence their sense of who they are
  • connecting various personal experiences of learning the language, and describing how learning the language has influenced own everyday behaviour and language use, for example, using the language outside the language classroom
  • considering whether learning and using the language impacts on their sense of identity either in or out of the classroom

  VCNRC045 | Capabilities | Critical and Creative Thinking | Levels 5 and 6 | Communicating | Reflecting

• 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

• VCNRC021

  Locate key information about everyday contexts and routines from written, spoken and visual texts

  Elaborations

  • surveying classmates regarding their likes, interests, routines and activities, and tabulating the results, for example, in birthday charts or graphs
  • reading profiles and stories in print and digital form about people and animals, and creating a display with names and short descriptions
  • locating information relating to school activities in a country where the language is spoken for example, from a sister school, and comparing with own daily schedule/routine
  • identifying points of information in short spoken texts with some unfamiliar language, for example, some items on a recorded shopping list

  VCNRC021 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Informing

• VCNRC056

  Convey and present information and ideas on a range of topics in different types of texts and in a variety of modes

  Elaborations

  • presenting information on a variety of topics for a range of purposes and audiences
  • presenting findings from interviews with peers in own class or in language classes and settings, using formats such as profile posters, charts and timelines
  • summarising and conveying the main points of texts, deducing the meaning of some unknown words and phrases, and identifying known cultural references, images and other content which contribute to the overall meaning
  • organising and presenting information for an audience who speak the language, for example, a web page describing and explaining leisure activities of young people in Australia
  • reporting in either a journal/diary entry or article for a school magazine on own and others’ experiences of events such as a concert, school camp, excursion or new educational computer game

  VCNRC056 | Capabilities | Personal and Social Capability | Levels 7 and 8 | Communicating | Informing

• VCNRC060

  Create texts in the language being studied and English, such as menus, posters or brochures on the same theme or event, and provide subtitles, captions or commentaries in either language to assist meaning

  Elaborations

  • working individually and collaboratively to create bilingual resources for the home and school environments, such as glossaries, signage, recipes and menus
  • creating English subtitles, footnotes, captions or commentaries for texts such as brochures, video clips, or advertisements that inform the school community about aspects of the culture of the target language
  • creating glossaries, tourist brochures or itineraries for English-speaking travellers to countries where the language is spoken including and explaining key words, phrases and protocol
  • creating vocabulary lists and annotated cultural explanations for target language-speaking visitors to events such as Australian sports days or family events, explaining culturally specific elements, for example, Australian Rules Football Final, Anzac Day, Harmony Day, BBQ

  VCNRC060 | Capabilities | Personal and Social Capability | Levels 7 and 8 | Communicating | Translating

• 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

• VCNRC025

  Translate and interpret words, phrases and sentences used in familiar environments such as school and home, recognising how they may have similar or different meanings to words in English or other known languages

  Elaborations

  • playing matching games with word cards, for example, days of the week, months, seasons or vocabulary associated with weather
  • translating simple sentences, such as requests in the classroom, to understand the gist, noticing how meaning changes when translating into English
  • translating signs or phrases in familiar contexts into English, for example, street signs, addresses, food labels, noting that some signs and symbols are universal, for example, the ‘stop’ sign

  VCNRC025 | Capabilities | Personal and Social Capability | Levels 3 and 4 | Communicating | Translating