Elaboration ACMNA175

understanding that arithmetic laws are powerful ways of describing and simplifying calculations and that using these laws leads to the generality of algebra

Elaboration | ACMNA175 | Content Descriptions | Year 7 | Mathematics | F-10 curriculum

Elaboration (1) ACMNA177

moving fluently between algebraic and word representations as descriptions of the same situation

Elaboration (1) | ACMNA177 | Content Descriptions | Year 7 | Mathematics | F-10 curriculum

Elaboration ACMNA190

applying the distributive law to the expansion of algebraic expressions using strategies such as the area model

Elaboration | ACMNA190 | Content Descriptions | Year 8 | Mathematics | F-10 curriculum

Elaboration (1) ACMNA191

identifying the greatest common divisor (highest common factor) of numeric and algebraic expressions and using a range of strategies to factorise algebraic expressions

Elaboration (1) | ACMNA191 | Content Descriptions | Year 8 | Mathematics | F-10 curriculum

Elaboration ACMNA192

understanding that the laws used with numbers can also be used with algebra

Elaboration | ACMNA192 | Content Descriptions | Year 8 | Mathematics | F-10 curriculum

Elaboration ACMNA213

understanding that the distributive law can be applied to algebraic expressions as well as numbers

Elaboration | ACMNA213 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum

Elaboration (1) ACMNA213

understanding the relationship between expansion and factorisation and identifying algebraic factors in algebraic expressions

Elaboration (1) | ACMNA213 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum

Elaboration ACMNA214

investigating graphical and algebraic techniques for finding distance between two points

Elaboration | ACMNA214 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum

Elaboration ACMNA294

investigating graphical and algebraic techniques for finding midpoint and gradient

Elaboration | ACMNA294 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum

Elaboration ACMNA215

determining linear rules from suitable diagrams, tables of values and graphs and describing them using both words and algebra

Elaboration | ACMNA215 | Content Descriptions | Year 9 | Mathematics | F-10 curriculum

Elaboration ACMNA230

using the distributive law and the index laws to factorise algebraic expressions

Elaboration | ACMNA230 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA231

applying knowledge of index laws to algebraic terms, and simplifying algebraic expressions using both positive and negative integral indices

Elaboration | ACMNA231 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA232

expressing the sum and difference of algebraic fractions with a common denominator

Elaboration | ACMNA232 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration (1) ACMNA232

using the index laws to simplify products and quotients of algebraic fractions

Elaboration (1) | ACMNA232 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration (1) ACMNA233

identifying and using common factors, including binomial expressions, to factorise algebraic expressions using the technique of grouping in pairs

Elaboration (1) | ACMNA233 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA240

solving a wide range of linear equations, including those involving one or two simple algebraic fractions, and checking solutions by substitution

Elaboration | ACMNA240 | Content Descriptions | Year 10 | Mathematics | F-10 curriculum

Elaboration ACMNA266

investigating the relationship between algebraic long division and the factor and remainder theorems

Elaboration | ACMNA266 | Content Descriptions | Year 10A | Mathematics | F-10 curriculum

Elaboration ACLARU016

recognising that Arabic has borrowed many words from English, for example, إنترنت؛ كومبيوتر؛ تلفاز؛, and English has borrowed words from Arabic, such as ‘admiral’, ‘alcohol’, ‘algebra’, ‘coffee’, ‘genie’, ‘hazard’ and ‘sultan’

Elaboration | ACLARU016 | Content Descriptions | Years 7 and 8 | Years 7–10 (Year 7 Entry) Sequence | Arabic | Languages | F-10 curriculum