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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.
|Year level(s)||Year 7|
|Purpose||Content knowledge, Teaching strategies, Evidence-based approaches, Student task|
|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 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||
Number patterns and algebraic thinking - NPA7
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