### 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 4
A student:

end of STAGE 4
A student:

PATTERNING GENERALISATIONS ALGEBRAIC REASONING
• Uses letters to represent variables and writes algebraic expressions representing real life situations
• Creates and evaluates algebraic expressions by substituting a variable and applies arithmetic laws to algebraic expressions
• Describes, extends, creates and predicts number patterns

• Solves problems involving algebraic expressions and verifies a solution
• Solves linear equations using algebraic or graphical techniques

KLA APPLICATION AND CONSIDERATIONS

HISTORY

• Sequences historical events and periods within a chronological framework, referencing a particular period of time

SCIENCE

• Identifies in fair tests, variables to be controlled (held constant), measured and changed
• Constructs and uses a range of representations, including graphs, keys and models to represent and analyse patterns or relationships including using digital technologies

CREATIVE ARTS

• Investigates and understands sound and audio patterns

GEOGRAPHY

• Locates statistical evidence, including a variety of tables and graphs, to ascertain geographical patterns and trends

PDHPE

• Studies movement patterns, time versus motion and photographing a skill in several frames

SCIENCE

• Constructs and uses appropriate graphs to express relationships clearly and succinctly