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

##### Students:
• develop understanding and fluency in mathematics through inquiry, exploring and connecting mathematical concepts, choosing and applying problem-solving skills and mathematical techniques, communication and reasoning

### Number and Algebra

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

#### Stage 5.2outcomes

##### 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

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

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

#### Stage 5.2outcomes

##### 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

##### Students:
• collect, represent, analyse, interpret and evaluate data, assign and use probabilities, and make sound judgements