AC9M9A02

Elaborations

• AC9M9A02_E1expanding combinations of binomials such as (x+7)(x+8), (x+7)(x-8), (x-7)(x+8), (x-7)(x-8) to identify expansion and factorisation patterns related to (x+a)(x+b) = x^2+(a+b)x+ab, where a and b are integers
• AC9M9A02_E2using manipulatives such as algebra tiles or area models to expand or factorise algebraic expressions with readily identifiable binomial factors; for example, (x+1)(x+3) = x^2+4x+3, (x-5)^2 = x^2-10x+25 or (x-3)^2+4 = x^2-6x+9+4 = x^2-6x+13
• AC9M9A02_E3recognising the relationship between expansion and factorisation, and using digital tools to systematically explore the factorisation of x^2+mx+n where m and n are integers