NSW Syllabuses

# Number and Algebra

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

#### Stage 5.3outcomes

##### 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