AC9M9A02

See also: Learning Areas / Mathematics / Mathematics / Algebra / Year 9

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

Elaborations
  • AC9M9A02_E1 - expanding combinations of binomials such as (x+7)(x+8),(x+7)(x8),(x7)(x+8),(x7)(x8) to identify expansion and factorisation patterns related to (x+a)(x+b)=x2+(a+b)x+ab, where a and b are integers
  • AC9M9A02_E2 - 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)=x2+4x+3,(x5)2=x210x+25 or (x3)2+4=x26x+9+4=x26x+13
  • AC9M9A02_E3 - recognising the relationship between expansion and factorisation, and using digital tools to systematically explore the factorisation of x2+mx+n where m and n are integers
Achievement Standard Components
  • ASMAT903 - Students expand binomial products, and factorise monic quadratic expressions.
  • ASMAT905 - Students use mathematical modelling to solve problems involving change in financial and other applied contexts, choosing to use linear and quadratic functions.
  • ASMAT906 - They graph quadratic functions and solve monic quadratic equations with integer roots algebraically.