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

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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

• 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

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

• 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

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

• 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

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

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