### FOCUS AREA 2 : Patterns and algebraic reasoningA student identifies patterns, develops algebraic reasoning and makes generalisations

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ASPECTS OF NUMERACY FOCUS AREA 2

early in STAGE 5
A student:

end of STAGE 5
A student:

PATTERNING GENERALISATIONS ALGEBRAIC REASONING
• Solves simple linear equations, quadratic equations, linear inequalities and simultaneous equations
• Calculates gradient, midpoint and the length of an interval

• Solves complex linear, quadratic and simple cubic equations

KLA APPLICATION AND CONSIDERATIONS

GEOGRAPHY

• Calculates the gradient of physical features or landforms

HISTORY

• Sequences historical events, periods and points of continuity and changes these into a chronological framework, referencing specifics

SCIENCE

• Specifies the dependent and independent variables for controlled experiments
• Analyses patterns and trends, including identifying inconsistencies in data
• Selects and uses a variety of methods to organise data and information including diagrams, tables, models, spreadsheets and databases and investigates patterns and relationships within the data

GEOGRAPHY

• Explains geographical patterns, trends, relationships and anomalies in geographical phenomena

HISTORY

• Sequences the main waves of migration to Australia in the 40 years following World War II, identifying numbers of migrants and countries of origin