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
to identify expansion and factorisation patterns related to , where and 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,
or - AC9M9A02_E3 - recognising the relationship between expansion and factorisation, and using digital tools to systematically explore the factorisation of
where and 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.