Mathematics K–10 - Stage 5 - Algebraic techniques C (Path) | NSW Curriculum

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Algebraic techniques C (Path)

MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
MA5-ALG-P-02
selects and applies appropriate algebraic techniques to operate with algebraic fractions, and expands, factorises and simplifies algebraic expressions (Path: Adv)

Algebraic techniques C (Path)

Stn (Standard), Adv (Advanced) and Ext (Extension) have been used to suggest paths for related Stage 6 courses.

Operate with algebraic fractions involving binomial numerators and numerical denominators

Expand, factorise and simplify algebraic expressions including special products

Prove and apply these special products $(a - b) (a + b) = a^{2} - b^{2}$ , ${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$ , ${(a - b)}^{2} = a^{2} - 2 a b + b^{2}$
Expand and simplify a variety of Loading including binomial products and the special products
Loading algebraic expressions involving the special products and strategies, including Loading , grouping in pairs for 4-term expressions and quadratic trinomials (Loading and non-monic)
Simplify algebraic expressions involving algebraic fractions using factorisation

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Life Skills

K–10Mathematics K–10 Syllabus (2022)