Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.
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
-
Algebraic equations video
Use this video as a springboard to explore algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning and mathematical modelling.
Resource details -
Algebra basics video
Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.
Resource details -
Graphs: Year 7 – planning tool
This planning resource for Year 7 is for the topic of Graphs.
Resource details -
Linear expressions and equations: Year 7 – planning tool
This planning resource for Year 7 is for the topic of Linear expressions and equations.
Resource details -
Formulate and manipulate expressions: Year 7 – planning tool
This planning resource for Year 7 is for the topic of Formulate and manipulate expressions.
Resource details -
Use variables: Year 7 – planning tool
This planning resource for Year 7 is for the topic of Use variables.
Resource details -
Addition and subtraction: Year 7 – planning tool
This planning resource for Year 7 is for the topic of Addition and subtraction.
Resource details -
All operations: Year 7 – planning tool
This planning resource for Year 7 is for the topic of All operations.
Resource details