FOCUS AREA 5: Graphical representation and data analysis
A student represents and interprets data in graphs, tables and diagrams

ASPECTS OF NUMERACY FOCUS AREA 5

early in STAGE 4
A student:

end of STAGE 4
A student:

INTERPRETING AND ANALYSING DATA
  • Identifies variables as categorical or numerical
  • Identifies and distinguishes between a ‘population’ and a ‘sample’
  • Investigates techniques for collecting data and considers their implications and limitations
  • Calculates mean, median, mode and range for sets of data
  • Investigates the effect of outliers on the mean and median
  • Describes and interprets a variety of data displays using mean, median and range
  • Collects, selects and records data and information using ethical protocols from primary and secondary sources


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  • Collects and interprets data from primary and secondary sources, including surveys
  • Calculates and compares summary statistics of different samples drawn from the same population
  • Proposes the type of information and data that needs to be collected in a range of investigation types, including first hand and secondary sources
  • Analyses patterns and trends in data
  • Analyses data using qualitative and quantitative methods, to identify and propose explanations for spatial distributions, patterns and trends and infer relationships
  • Analyses and evaluates data presented in digital media and elsewhere


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REPRESENTING DATA IN GRAPHS AND TIMELINES
  • Represents data in appropriate forms, e.g. climate graphs, population pyramids, field sketches and annotated diagrams
  • Uses a range of representations to organise data including graphs, keys, models, diagrams and spreadsheets
  • Extracts information from flowcharts, histograms, column graphs, sector graphs and line graphs
  • Constructs timelines for self and identity, record and graph data, find trends, calculate statistics


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  • Constructs and interprets frequency tables, histograms and polygons
  • Constructs and interprets dot plots, stem and leaf plots, divided bar graphs, sector graphs and line graphs, spatial distributions and scatter plots
  • Identifies and plans and prioritises stages of tasks, making use of organisational strategies, e.g. drawing up a schedule, monitoring progress and meeting deadlines


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INTERPRETING CHANCE EVENTS AND PROBABILITY
  • Constructs sample spaces for single-step experiments with equally likely outcomes
  • Finds probabilities of events in single-step experiments
  • Identifies complementary events and uses the sum of probabilities to solve problems


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  • Describes events using language of ‘at least’, exclusive ‘or’ (A or B but not both), inclusive ‘or’ (A or B or both) and ‘and’
  • Represents events in two-way tables and Venn diagrams and solves related problems


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KLA APPLICATION AND CONSIDERATIONS

ENGLISH

  • Transforms timelines into personal narrative using appropriate transitional verbs
  • Analyses the deliberate choice and representation of statistics in persuasive texts

GEOGRAPHY

  • Collects and records geographical data from primary and secondary sources to differentiate a range of factors related to human well-being
  • Collects, collates and analyses primary data from fieldwork using a variety of digital and non-digital instruments
  • Draws geographical conclusions on the basis of an analysis of data
  • Uses geographical terminology to communicate findings using digital and spatial technologies

PDHPE

  • Uses probability elements to analyse risk and behaviour

SCIENCE

  • Proposes the type of information and data that needs to be collected in a range of investigation types, including first-hand and secondary sources
  • Summarises data from own investigations and secondary sources
  • Organises data in tables and interprets and constructs tables
  • Applies simple numerical procedures, e.g. calculating means when processing data and information
  • Extracts information from flowcharts, histograms, column graphs, sector graphs and line graphs
  • Constructs, reads and interprets timelines, determines whether a vertical or horizontal timeline is appropriate, determines a suitable scale and labels markers appropriately e.g. BC, AD TAS
  • Creates project timelines and action plans


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LANGUAGES

  • Creates and analyses side-by-side column graphs using two sets of data, e.g. parents/students and hobbies; class 7A/class 7B and pets
  • Uses the target language to analyse and describe data represented in graphs

ENGLISH

  • Identifies, plans and prioritises stages of tasks, making use of organisational strategies, e.g.drawing up a schedule, monitoring progress and meeting deadlines
  • Critically analyses, selects and represents data in persuasive texts e.g. advertising and propaganda

GEOGRAPHY

  • Analyses patterns and trends in internal migration within Australia Examines projected growth rates for Australia’s population Analyses current trends in urbanisation including growth of megacities

HISTORY

  • Uses graphs, tables and statistics as quantitative historical data

PDHPE

  • Reads, constructs and interprets sector graphs e.g. components of a balanced life
  • Uses line graphs to show levels of physical activities and column graphs to compare data over time for road safety and drug education
  • Uses and reads like scales for surveys

SCIENCE

  • Proposes the type of information and data that needs to be collected in a range of investigation types, including first hand and secondary sources
  • Extracts information from databases, interpreting tables and keys
  • Constructs and uses the appropriate type of graph (histogram, column, sector or line graph) to express relationships clearly and succinctly
  • Uses spreadsheets for data collection and calculating means

 

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