### 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 3
A student:

end of STAGE 3
A student:

INTERPRETING AND ANALYSING DATA
• Collects categorical and numerical data by observation and survey
• Calculates means and percentages of small data sets
• Develops questions to investigate and plan inquiry
• Evaluates sources for usefulness and represents data in different forms
• Interprets data using digital and spatial technologies
• Identifies spatial distributions, patterns and trends
• Infers relationships to draw conclusions

• Interprets and evaluates data presented in digital media and elsewhere

REPRESENTING DATA IN GRAPHS AND TIMELINES
• Constructs data displays, including tables, column graphs, dot plots and line graphs as appropriate for the data type
• Describes and interprets data presented in tables, column graphs, dot plots and line graphs

• Interprets and creates two-way tables
• Interprets side-by-side column graphs
• Compares a range of data displays to determine the most appropriate display for particular sets of data
• Identifies and explains how analytical images like figures, tables, diagrams, maps and graphs contribute to our understanding of verbal information in factual and persuasive texts
• Draws and interprets timelines and determines a suitable scale, e.g. 1cm = 10 years

INTERPRETING CHANCE EVENTS AND PROBABILITY
• Lists outcomes of chance experiments involving equally likely outcomes
• Represents probabilities using fractions
• Recognises that probabilities range from 0 to 1

• Compares observed frequencies in chance experiments with expected frequencies
• Represents probabilities using fractions, decimals and percentages
• Conducts chance experiments with both small and large numbers of trials

KLA APPLICATION AND CONSIDERATIONS

PDHPE

• Surveys students and teachers to develop a healthy eating menu

SCIENCE AND TECHNOLOGY

• Observes, measures and records data using formal units
• Uses numerical techniques to analyse data and information, including calculating means and percentages of small sets of data (note: mean calculations are formally taught in mathematics in stage 4)
• Constructs and uses a range of data representations, including tables, graphs and divided bar graphs (note: divided bar graph is taught formally in mathematics stage 4)

CREATIVE ARTS

• Explores the elements of chance as an approach to movement in dance or drama and organisation in music or visual arts, e.g. John Cage’s and Merce Cunningham’s chance operations

ENGLISH

• Identifies and explains how analytical images like figures, tables, diagrams, maps and graphs contribute to our understanding of verbal information in factual and persuasive texts

GEOGRAPHY

• Locates, collects and records geographical data and information by conducting geographical inquiry or using statistical sources and reports
• Represents data in different forms using graphs and tables
• Identifies distributions and patterns and trends, infer relationships and draw conclusions

HISTORY

• Uses a range of graphic communication forms to illustrate historical narratives

LANGUAGES

• Conducts simple surveys and collates and represents data in the target language, e.g. what classmates eat at each mealtime

PDHPE

• Interprets side-by-side column graphs