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Related topic
Mathematics / Year 9 / Algebra
Curriculum content descriptions
simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions (AC9M9A02)
Elaborations
- 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
- 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 \((x-3)^2+4\;=\;x^2-6x+9+4\;=\;x^2-6x+13\)
- 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
General capabilities
ScOT terms
Quadratics, Distributivity, Binocular vision, Binomials, Algebraic terms, Factors