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 5
A student:

end of STAGE 5
A student:

INTERPRETING AND ANALYSING DATA
• Describes data, using terms including ‘skewed’, ‘symmetric’ and ‘bi-modal’
• Compares two sets of numerical data in a display using mean, median and range
• Explains why certain types of information need to be collected in a range of investigation types

• Determines quartiles and interquartile range
• Compares shapes of box plots to corresponding histograms and dot plots
• Critically evaluates sources of data in media reports and elsewhere
• Represents and evaluates multi-variable data in a range of forms e.g. scatter plots, tables, field sketches and annotated diagrams, using qualitative and quantitative methods to make generalisations and inferences, propose explanation for patterns, trends, relationships, anomalies and predict outcomes
• Interprets and critically evaluates reports in the media and elsewhere that link claims to data displays and statistics

REPRESENTING DATA IN GRAPHS AND TIMELINES
• Constructs and interprets back-to-back stem and leaf plots
• Uses flowcharts to represent data
• Recognises and accounts for change using data

• Constructs, interprets and uses box plots to compare sets of data
• Constructs and interprets scatter plots of two numerical variables
• Constructs and interprets displays of bivariate numerical data where the independent variable is time

INTERPRETING CHANCE EVENTS AND PROBABILITY
• Calculates relative frequencies to estimate probabilities
• Calculates probabilities from Venn diagrams and two-way tables

• Calculates probabilities for simple and compound events in two- and three-step chance experiments with and without replacement
• Distinguishes between independent and dependent events informally
• Calculates probabilities of events where a condition is given that restricts the sample space
• Critically evaluates conditional statements in chance situations

KLA APPLICATION AND CONSIDERATIONS

LANGUAGES

• Describes frequency of common activities in the target language

ENGLISH

• Identifies bias and manipulates data for particular purposes and audiences

GEOGRAPHY

• Represents and evaluates multi-variable data in a range of forms e.g. scatter plots, tables, field sketches and annotated diagrams
• Uses qualitative and quantitative methods to make generalisations and inferences and propose explanations for patterns, trends, relationships, anomalies and predict outcomes

HISTORY

• Uses flowcharts to represent data
• Recognises and accounts for change using data

PDHPE

• Uses tables to assess performance on a scale of 1 to 10
• Creates result tables for round robin games and allocates points for a win/loss/draw

SCIENCE

• Explains why certain types of information need to be collected in a range of investigation types

ENGLISH

• Represents ideas and analyses creatively using graphic representations such as venn diagrams, tables and charts to engage an audience

GEOGRAPHY

• Constructs and interprets population pyramids
• Collects, analyses and records of geographical data from primary and secondary sources, including fieldwork
• Identifies how geographical information systems might be used to analyse geographical data and make predictions
• Represents geographical findings using non-digital, digital and spatial technologies and scatter graphs

HISTORY

• Uses a range of sources, investigates and analyses data to compare one Asian society to other nations around 1900 in relation to population, form of government, type of economy, relationships with other nations and evidence of nationalism
• Analyses data to compare and contrast life in various epochs and regions Applies historical data to account for demographic changes in Australia and the world

PDHPE