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• VCMSP299

  Explore the variation of means and proportions of random samples drawn from the same population

  Elaborations

  • using sample properties to predict characteristics of the population

  VCMSP299 | Mathematics | Level 8 | Statistics and Probability | Data representation and interpretation

• VCMSP296

  Represent events in two-way tables and Venn diagrams and solve related problems

  Elaborations

  • using Venn diagrams and two-way tables to calculate probabilities for events, satisfying 'and', 'or' and 'not' conditions
  • understanding that representing data in Venn diagrams or two-way tables facilitates the calculation of probabilities
  • collecting data to answer the questions using Venn diagrams or two-way tables

  VCMSP296 | Mathematics | Level 8 | Statistics and Probability | Chance

• VCMSP294

  Identify complementary events and use the sum of probabilities to solve problems

  Elaborations

  • identifying the complement of familiar events
  • understanding that probabilities range between 0 to 1 and that calculating the probability of an event allows the probability of its complement to be found

  VCMSP294 | Mathematics | Level 8 | Statistics and Probability | Chance

• VCMSP300

  Investigate the effect of individual data values including outliers, on the range, mean and median

  Elaborations

  • using displays of data to explore and investigate effects
  • exploring the effect of outliers on the range for different sets of data by comparing its value with and without outliers included

  VCMSP300 | Mathematics | Level 8 | Statistics and Probability | Data representation and interpretation

• VCMSP298

  Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes

  Elaborations

  • investigating the uses of random sampling to collect data

  VCMSP298 | Mathematics | Level 8 | Statistics and Probability | Data representation and interpretation

• VCMSP295

  Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'

  Elaborations

  • posing 'and', 'or' and 'not' probability questions about objects or people

  VCMSP295 | Mathematics | Level 8 | Statistics and Probability | Chance

• VC2M8SP04

  design and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works

  Elaborations

  • listing the properties or criteria necessary to determine if shapes are similar or congruent
  • using the conditions for congruence of triangles and similarity of triangles to develop a sorting algorithm; for example, creating a flow chart
  • evaluating algorithms for accuracy in classifying and distinguishing between similar and congruent triangles

  VC2M8SP04 | Mathematics | Mathematics Version 2.0 | Level 8 | Space

• VC2M8ST01

  distinguish between a population and a sample, and investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques

  Elaborations

  • identifying situations where data can be collected by census and those where a sample is appropriate
  • investigating the practicalities and implications of obtaining data through sampling, using a variety of investigative processes; for example, investigating situations when random sampling or non-random sampling is used to collect data and the implication of each sampling method
  • discussing how observations, experiments and sampling methods can be impacted by bias; for example, recognising that a sampling bias occurs when certain members of a population are more likely to be selected in a sample than others, such as a survey conducted at a shopping centre, and recognising that environmental conditions may bias the results of scientific investigations if experiments are conducted at different times or under different conditions
  • using digital tools such as simulations and digital measuring devices to observe, measure and record qualitative and quantitative data, discussing precision and the implications of error

  VC2M8ST01 | Mathematics | Mathematics Version 2.0 | Level 8 | Statistics

• VC2M8ST02

  analyse and report on the distribution of data from primary and secondary sources using random and non-random sampling techniques

  Elaborations

  • investigating different methods of sampling used to collect data, considering the source and size of samples
  • comparing the sampling methods of simple random, systematic, stratified, quota, clustered or convenience, or judgement, and discussing the reliability of conclusions about the context that could be drawn
  • defining and distinguishing between probabilistic terms such as ‘random’, ‘sample space’, ‘sample’ and ‘sample distribution’
  • investigating primary and secondary data sources relating to reconciliation between Aboriginal and Torres Strait Islander Peoples and non-Indigenous Australians, analysing and reporting on findings

  VC2M8ST02 | Mathematics | Mathematics Version 2.0 | Level 8 | Statistics

• VC2M8ST04

  plan and conduct statistical investigations involving samples of a population; use ethical and fair methods to make inferences about the population and report findings, acknowledging uncertainty

  Elaborations

  • using data such as electricity consumption to draw conclusions about the impacts of events, such as pandemics, on households or business
  • identifying situations where the collection of data from a sample is necessary due to efficiency, cost or restricted time for collection of data, and is sufficiently reliable for making inferences about a population
  • exploring progress in reconciliation between Aboriginal and Torres Strait Islander Peoples and non-Indigenous Australians, investigating and evaluating sampling techniques and methods to gather relevant data to measure progress

  VC2M8ST04 | Mathematics | Mathematics Version 2.0 | Level 8 | 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

• 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

• VCNRC090

  Use spoken, written and multimodal forms of presentation to convey information on selected topics of interest

  Elaborations

  • creating texts relating to own experiences, for example, celebrations using appropriate and related greetings
  • describing aspects of life in Australia for an audience in communities where the language being studied is spoken, such as a teenage birthday party
  • presenting information in different formats for different audiences, for example, writing an email to a pen pal or introducing a new student to the class
  • reporting on events in their school life, personal world and immediate environment, for example, in a diary entry
  • using different modes of presentation to profile significant events, people or places, for example, a flyer about a community event, a digital presentation on a favourite musician

  VCNRC090 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 7 and 8 | Communicating | Informing

• VCNRC091

  Listen to, read and view imaginative texts and respond by describing aspects, such as characters, events and ideas

  Elaborations

  • participating in imaginary exchanges between characters from a story in a performance for the class
  • listening to, reading and viewing texts, and responding to questions about characters and events
  • describing characters, events and key ideas in a shared text using a scaffold, for example, a storyboard or cartoon
  • listening to songs, such as versions of English language songs in the language being studied and comparing aspects that may be similar or different

  VCNRC091 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 7 and 8 | Communicating | Creating

• VCNRC087

  Participate in collaborative activities, such as performances and presentations, that involve planning and making arrangements

  Elaborations

  • using language to participate with others in everyday activities, for example, ordering at a restaurant, shopping at a bakery, using public transport, or meeting at the movies
  • participating in role plays relating to making arrangements
  • collaborating with peers to present a birthday celebration song to a class mate
  • creating presentations or performances for family, friends or school community to showcase target language learning
  • accepting or declining an invitation

  VCNRC087 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 7 and 8 | Communicating | Socialising

• VCNRC053

  Participate in collaborative tasks, activities and experiences which involve making decisions, negotiating, planning and shared transactions

  Elaborations

  • participating in decision-making scenarios
  • participating in the collaborative planning of real or simulated class events
  • describing plans and arrangements, giving suggestions and reasons for own preferences, and negotiating outcomes
  • transacting and negotiating in real or simulated situations

  VCNRC053 | Capabilities | Personal and Social Capability | Levels 7 and 8 | Communicating | Socialising

• VCNRC058

  Create and perform own and shared texts about imaginary people, places and experiences, in order to entertain others

  Elaborations

  • creating texts to entertain younger audiences, such as cartoons, photo stories, plays or Big Books based on traditional and other familiar stories
  • creating the next scene, new character or an alternative ending for imaginative texts in the language , such as a story or drama performance
  • composing and performing short songs with particular themes, for an occasion such as a performance for classroom guests
  • illustrating imaginative stories in visual forms such as cartoons or captioned photo stories

  VCNRC058 | Capabilities | Personal and Social Capability | Levels 7 and 8 | Communicating | Creating

• VCNRC062

  Consider how own biography, including personal experiences, family origins, traditions and beliefs, impact on identity and shape own intercultural experiences

  Elaborations

  • reflecting on the experience of learning and using the language and the role of language and culture in expressing identity, and considering the influence of own background on ways of communicating
  • reflecting on how learning the language may have impacted on own identity and understanding of the world such as an increased awareness of representations in the media of countries where the language is spoken

  VCNRC062 | Capabilities | Personal and Social Capability | Levels 7 and 8 | Communicating | Reflecting

• VCNRC086

  Interact with peers and teacher to exchange information and opinions about self, family, friends and interests, and express feelings, likes and dislikes

  Elaborations

  • engaging in conversations with peers and teacher to exchange information about themselves, their family and friends
  • introducing self and others in real and imagined situations
  • expressing opinions and describing and exchanging information about interests, for example, leisure activities, using modelled language
  • expressing likes and dislikes in classroom and school ground conversations
  • expressing how they are feeling

  VCNRC086 | Languages | Non-Roman Alphabet Languages | 7–10 Sequence | Levels 7 and 8 | Communicating | Socialising