Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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 (V9.0) content descriptions |
AC9M7A02
Formulate algebraic expressions using constants, variables, operations and brackets |
Numeracy progression |
Number patterns and algebraic thinking (P6)
|
Copyright details |
|
Organisation | AMSI |
Copyright | © Education Services Australia. Free-for-education material. |
Related resources
-
Ratio connections
A short mathematical inquiry that focuses on multiplicative relations to help students understand ratio.
Resource details -
Rectangle ratios
Establish formulas for area of rectangles and use these in problem-solving. Recognising and solving simple ratios.
Resource details -
Algebraic expressions
Extend and apply the distributive law to the expansion of algebraic expression. Factorise algebraic expression by identifying numerical factor. Simplifying algebraic expression involving the four operations.
Resource details -
Factors and primes
The process of making connections between factors and prime factors.
Resource details