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NSW Syllabuses

Years 7–10 Life Skills outcomes

Life Skills outcomes are presented alongside Stage 4 and 5 below, and may be used to explore content related to each outcome.

The Life Skills outcomes can also be viewed as two outcomes tables:

  • a table of Life Skills outcomes, which shows the syllabus objectives and all Life Skills outcomes
  • a table of Life Skills and related syllabus outcomes, which shows the relationship between Life Skills and Stage 4 and Stage 5 outcomes.  

 

Working Mathematically

 

Number and Algebra

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

Life Skills
outcomes

A student:

Stage 4
outcomes

A student:

Stage 5.1
outcomes

A student:

Stage 5.2
outcomes

A student:
  • recognises language used to represent number

    MALS-4NA
  • compares, orders and calculates with integers, applying a range of strategies to aid computation

    MA4-4NA
  • counts in familiar contexts

    MALS-5NA
  • operates with fractions, decimals and percentages

    MA4-5NA
  • reads and represents numbers

    MALS-6NA
  • 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
  • compares and orders numbers

    MALS-7NA
  • 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
  • recognises and compares fractions in everyday contexts

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

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

    MA5.2-6NA
  • represents and operates with fractions, decimals or percentages in everyday contexts

    MALS-9NA
  • 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
  • selects and uses strategies for addition and subtraction

    MALS-10NA
  • uses algebraic techniques to solve simple linear and quadratic equations

    MA4-10NA
  • determines the midpoint, gradient and length of an interval, and graphs linear relationships

    MA5.1-6NA
  • selects and uses strategies for multiplication and division

    MALS-11NA
  • creates and displays number patterns; graphs and analyses linear relationships; and performs transformations on the Cartesian plane

    MA4-11NA
  • graphs simple non-linear relationships

    MA5.1-7NA
  • solves linear and simple quadratic equations, linear inequalities and linear simultaneous equations, using analytical and graphical techniques

    MA5.2-8NA
  • recognises and matches coins and notes

    MALS-12NA
  • uses the gradient-intercept form to interpret and graph linear relationships

    MA5.2-9NA
  • compares and orders coins and notes

    MALS-13NA
  • connects algebraic and graphical representations of simple non-linear relationships

    MA5.2-10NA
  • reads and writes amounts of money

    MALS-14NA
  • calculates with money

    MALS-15NA
  • makes informed decisions about purchasing goods and services

    MALS-16NA
  • plans and manages personal finances

    MALS-17NA
  • recognises and continues repeating patterns

    MALS-18NA
  • calculates missing values by completing simple number sentences

    MALS-19NA
 

 

Measurement and Geometry

Students:
  • identify, visualise and quantify measures and the attributes of shapes and objects, and explore measurement concepts and geometric relationships, applying formulas, strategies and geometric reasoning in the solution of problems

Life Skills
outcomes

A student:

Stage 4
outcomes

A student:

Stage 5.1
outcomes

A student:

Stage 5.2
outcomes

A student:
  • recognises time in familiar contexts

    MALS-20MG
  • calculates the perimeters of plane shapes and the circumferences of circles

    MA4-12MG
  • recognises and relates time in a range of contexts

    MALS-21MG
  • uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area

    MA4-13MG
  • calculates the areas of composite shapes, and the surface areas of rectangular and triangular prisms

    MA5.1-8MG
  • calculates the surface areas of right prisms, cylinders and related composite solids

    MA5.2-11MG
  • reads and interprets time in a variety of situations

    MALS-22MG
  • uses formulas to calculate the volumes of prisms and cylinders, and converts between units of volume

    MA4-14MG
  • applies formulas to calculate the volumes of composite solids composed of right prisms and cylinders

    MA5.2-12MG
  • calculates and measures time and duration in everyday contexts

    MALS-23MG
  • performs calculations of time that involve mixed units, and interprets time zones

    MA4-15MG
  • interprets very small and very large units of measurement, uses scientific notation, and rounds to significant figures

    MA5.1-9MG
  • organises personal time and manages scheduled activities

    MALS-24MG
  • applies Pythagoras’ theorem to calculate side lengths in right-angled triangles, and solves related problems

    MA4-16MG
  • applies trigonometry, given diagrams, to solve problems, including problems involving angles of elevation and depression

    MA5.1-10MG
  • applies trigonometry to solve problems, including problems involving bearings

    MA5.2-13MG
  • estimates and measures in everyday contexts

    MALS-25MG
  • classifies, describes and uses the properties of triangles and quadrilaterals, and determines congruent triangles to find unknown side lengths and angles

    MA4-17MG
  • describes and applies the properties of similar figures and scale drawings

    MA5.1-11MG
  • calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar

    MA5.2-14MG
  • recognises and uses units to estimate and measure length

    MALS-26MG
  • identifies and uses angle relationships, including those related to transversals on sets of parallel lines

    MA4-18MG
  • selects and uses units to estimate and measure mass

    MALS-27MG
  • selects and uses units to estimate and measure volume and capacity

    MALS-28MG
  • applies formal units to estimate and calculate area

    MALS-29MG
  • recognises, matches and sorts three-dimensional objects and/or two-dimensional shapes

    MALS-30MG
  • identifies the features of three-dimensional objects and/or two-dimensional shapes and applies these in a range of contexts

    MALS-31MG
  • responds to and uses the language of position in everyday contexts

    MALS-32MG
  • recognises that maps and plans are a representation of positions in space

    MALS-33MG
  • uses maps and plans in a range of contexts

    MALS-34MG

 

Statistics and Probability