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Laws of arithmetic

This resource guides and supports the teacher to explicitly teach the laws and properties of arithmetic using algebraic terms and expressions to model examples. Students can use the resource to guide their understanding to identify order of operations in contextualised problems, preserving the order by inserting brackets in numerical expressions, then recognising how order is preserved by convention. They can follow through the examples presented and complete practice questions.

Additional details

Year level(s) Year 7
Audience Student, Teacher
Purpose Content knowledge, Teaching strategies, Evidence-based approaches, Student task
Format Downloadable resources
Teaching strategies and pedagogical approaches Explicit teaching, Worked examples, Collaborative learning
Keywords algebra, cummulative law, assosciative law, distributive law, order of operation, powers, notation, explicit teaching

Curriculum alignment

Curriculum connections English, Numeracy, Critical and creative thinking
Strand and focus Algebra, Number, Apply understanding, Build understanding
Topics Addition and subtraction, Algebraic expressions, Patterns and algebra, Operating with number, Multiples, factors and powers, Multiplication and division
AC: Mathematics content descriptions
ACMNA177 Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
National numeracy learning progression Additive strategies
Multiplicative strategies
Number patterns and algebraic thinking - NPA7

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