AC9M8A01

See also: Learning Areas / Mathematics / Mathematics / Algebra / Year 8

create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties

Elaborations

• AC9M8A01_E1 - rearranging and simplifying linear expressions involving variables with integer coefficients and constants; using manipulatives such as algebra tiles to support calculations; for example, using manipulatives to demonstrate that \(2x+4\;=\;2(x+2),\;3(a-b)=3a -3b\), or \(5(m+2n)+3m-4n\;=\;5m+10n+3m-4n\;=\;8m+6n\)
• AC9M8A01_E2 - demonstrating the relationship between factorising and expanding linear expressions using manipulatives, such as algebra tiles or area models, and describing with mathematical language
• AC9M8A01_E3 - using the distributive, associative, commutative, identity and inverse properties to expand and factorise algebraic expressions using strategies such as the area model

Achievement Standard Components

• ASMAT805 - Students apply algebraic properties to rearrange, expand and factorise linear expressions.
• ASMAT807 - Students use mathematical modelling to solve problems using linear relations, interpreting and reviewing the model in context.