AC9M9A02 Year 9 Mathematics

This Content Descriptor from Year 9 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions

Elaborations

• 1 expanding 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
• 2 using 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 \((x-3)^2+4\;=\;x^2-6x+9+4\;=\;x^2-6x+13\)
• 3 recognising 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

Related Achievement Standards