Skip to content

A NSW Government website

Welcome to the NSW Curriculum website

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 4

Algebraic techniques
Examine the concept of pronumerals as a way of representing numbers
  • Examine and recognise that Loading  can be used to represent one or more numerical values and when pronumerals have more than one numerical value, they may then be referred to as Loading 

  • Identify and define an Loading  as an Loading  formed by combining numbers and algebraic symbols using arithmetic Loading 

  • Use concise algebraic notation and conventions for multiplication, division and powers, and explain the meanings for each convention

Create algebraic expressions and evaluate them by substitution
  • Generate algebraic expressions by translating descriptions and vice versa

  • Substitute numbers into algebraic expressions and evaluate the result

  • Generate a number Loading  from an algebraic expression

Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
  • Generalise the Loading  property of addition and multiplication to algebraic expressions

  • Generalise the Loading  to algebraic expressions

  • Identify like terms, and add and subtract them to simplify algebraic expressions

  • Simplify algebraic expressions that involve multiplication and division, including simple Loading 

  • Simplify algebraic expressions involving mixed operations

Extend and apply the distributive law to the expansion of algebraic expressions
  • Explain the role and meaning of grouping symbols in algebraic expressions

  • Apply the Loading  to expand and simplify algebraic expressions by removing grouping symbols

Factorise algebraic expressions by identifying numerical and algebraic factors
  • Identify and list factors of a single term

  • Loading  algebraic expressions using knowledge of Loading  and finding the highest common numerical factor (HCF)

  • Factorise algebraic expressions using knowledge of factors by finding a common algebraic factor, including expressions involving more than 2 terms, and verify the result by expansion

Related files