AC9M8A01 Year 8 Mathematics

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

Elaborations

• • Elaboration 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
• • Elaboration demonstrating the relationship between factorising and expanding linear expressions using manipulatives, such as algebra tiles or area models, and describing with mathematical language
• • Elaboration using the distributive, associative, commutative, identity and inverse properties to expand and factorise algebraic expressions using strategies such as the area model