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NSW Syllabuses

Number and Algebra

Students:
  • develop efficient strategies for numerical calculation, recognise patterns, describe relationships and apply algebraic techniques and generalisation

Early Stage 1
outcomes

A student:

Stage 1
outcomes

A student:

Stage 2
outcomes

A student:

Stage 3
outcomes

A student:

Stage 4
outcomes

A student:

Stage 5.1
outcomes

A student:

Stage 5.2
outcomes

A student:

Stage 5.3
outcomes

A student:
  • counts to 30, and orders, reads and represents numbers in the range 0 to 20

    MAe-4NA
  • applies place value, informally, to count, order, read and represent two- and three-digit numbers

    MA1-4NA
  • applies place value to order, read and represent numbers of up to five digits

    MA2-4NA
  • orders, reads and represents integers of any size and describes properties of whole numbers

    MA3-4NA
  • combines, separates and compares collections of objects, describes using everyday language, and records using informal methods

    MAe-5NA
  • uses a range of strategies and informal recording methods for addition and subtraction involving one- and two-digit numbers

    MA1-5NA
  • uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-digit numbers

    MA2-5NA
  • selects and applies appropriate strategies for addition and subtraction with counting numbers of any size

    MA3-5NA
  • compares, orders and calculates with integers, applying a range of strategies to aid computation

    MA4-4NA
  • groups, shares and counts collections of objects, describes using everyday language, and records using informal methods

    MAe-6NA
  • uses a range of mental strategies and concrete materials for multiplication and division

    MA1-6NA
  • uses mental and informal written strategies for multiplication and division

    MA2-6NA
  • selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation

    MA3-6NA
  • describes two equal parts as halves

    MAe-7NA
  • represents and models halves, quarters and eighths

    MA1-7NA
  • represents, models and compares commonly used fractions and decimals

    MA2-7NA
  • compares, orders and calculates with fractions, decimals and percentages

    MA3-7NA
  • operates with fractions, decimals and percentages

    MA4-5NA
  • solves financial problems involving purchasing goods

    MA4-6NA
  • solves financial problems involving earning, spending and investing money

    MA5.1-4NA
  • solves financial problems involving compound interest

    MA5.2-4NA
  • operates with ratios and rates, and explores their graphical representation

    MA4-7NA
  • recognises direct and indirect proportion, and solves problems involving direct proportion

    MA5.2-5NA
  • draws, interprets and analyses graphs of physical phenomena

    MA5.3-4NA
  • recognises, describes and continues repeating patterns

    MAe-8NA
  • creates, represents and continues a variety of patterns with numbers and objects

    MA1-8NA
  • generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values

    MA2-8NA
  • analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane

    MA3-8NA
  • generalises number properties to operate with algebraic expressions

    MA4-8NA
  • simplifies algebraic fractions, and expands and factorises quadratic expressions

    MA5.2-6NA
  • selects and applies appropriate algebraic techniques to operate with algebraic expressions

    MA5.3-5NA
  • operates with positive-integer and zero indices of numerical bases

    MA4-9NA
  • operates with algebraic expressions involving positive-integer and zero indices, and establishes the meaning of negative indices for numerical bases

    MA5.1-5NA
  • applies index laws to operate with algebraic expressions involving integer indices

    MA5.2-7NA
  • performs operations with surds and indices

    MA5.3-6NA
  • uses algebraic techniques to solve simple linear and quadratic equations

    MA4-10NA
  • solves linear and simple quadratic equations, linear inequalities and linear simultaneous equations, using analytical and graphical techniques

    MA5.2-8NA
  • solves complex linear, quadratic, simple cubic and simultaneous equations, and rearranges literal equations

    MA5.3-7NA
  • creates and displays number patterns; graphs and analyses linear relationships; and performs transformations on the Cartesian plane

    MA4-11NA
  • determines the midpoint, gradient and length of an interval, and graphs linear relationships

    MA5.1-6NA
  • uses the gradient-intercept form to interpret and graph linear relationships

    MA5.2-9NA
  • uses formulas to find midpoint, gradient and distance on the Cartesian plane, and applies standard forms of the equation of a straight line

    MA5.3-8NA
  • graphs simple non-linear relationships

    MA5.1-7NA
  • connects algebraic and graphical representations of simple non-linear relationships

    MA5.2-10NA
  • sketches and interprets a variety of non-linear relationships

    MA5.3-9NA
  • recognises, describes and sketches polynomials, and applies the factor and remainder theorems to solve problems

    MA5.3-10NA
  • uses the definition of a logarithm to establish and apply the laws of logarithms

    MA5.3-11NA
  • uses function notation to describe and sketch functions

    MA5.3-12NA