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NSW Curriculum
NSW Education Standards Authority

K–10Mathematics K–10 Syllabus

Record of changes
Implementation for K–2 from 2023 and 3–10 from 2024
Expand for detailed implementation advice

Content

Stage 5

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
  • Add and subtract Loading  with Loading  Loading  and numerical Loading 

Expand, factorise and simplify algebraic expressions including special products
  • Prove and apply these special products a-ba+b=a2-b2, a+b2=a2+2ab+b2, a-b2=a2-2ab+b2

  • 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