NSW Curriculum: Year 9
Skills available for New South Wales Year 9 math objectives
Area
Print skill plan
Number and algebra
Number and finance
MA5-FIN-C-01 solves financial problems involving simple interest, earning money and spending money
MA5-FIN-C-01 solves financial problems involving simple interest, earning money and spending money
MA5-FIN-C-02 solves financial problems involving compound interest and depreciation
MA5-FIN-C-02 solves financial problems involving compound interest and depreciation
MA5-MAG-C-01 solves measurement problems by using scientific notation to represent numbers and rounding to a given number of significant figures
Scientific notation
Measurement
MA5-MAG-C-01 solves measurement problems by using scientific notation to represent numbers and rounding to a given number of significant figures
Scientific notation
Measurement
Algebra and equations
MA5-ALG-C-01 simplifies algebraic fractions with numerical denominators and expands algebraic expressions
Variable expressions
Polynomials
MA5-ALG-C-01 simplifies algebraic fractions with numerical denominators and expands algebraic expressions
Variable expressions
Polynomials
MA5-ALG-P-01 simplifies algebraic fractions involving indices, and expands and factorises algebraic expressions (Path: Adv)
Monomials
Expand expressions
Factorise expressions
MA5-ALG-P-01 simplifies algebraic fractions involving indices, and expands and factorises algebraic expressions (Path: Adv)
Monomials
Expand expressions
Factorise expressions
MA5-ALG-P-02 selects and applies appropriate algebraic techniques to operate with algebraic fractions, and expands, factorises and simplifies algebraic expressions (Path: Adv)
Simplify algebraic fractions
Expand expressions
Factorise expressions
MA5-ALG-P-02 selects and applies appropriate algebraic techniques to operate with algebraic fractions, and expands, factorises and simplifies algebraic expressions (Path: Adv)
Simplify algebraic fractions
Expand expressions
Factorise expressions
MA5-IND-C-01 simplifies algebraic expressions involving positive-integer and zero indices, and establishes the meaning of negative indices for numerical bases
Evaluate exponents
Positive exponents
Negative exponents
Expressions involving exponents
MA5-IND-C-01 simplifies algebraic expressions involving positive-integer and zero indices, and establishes the meaning of negative indices for numerical bases
Evaluate exponents
Positive exponents
Negative exponents
Expressions involving exponents
MA5-IND-P-01 applies the index laws to operate with algebraic expressions involving negative-integer indices (Path: Adv)
Monomials
Exponents
MA5-IND-P-01 applies the index laws to operate with algebraic expressions involving negative-integer indices (Path: Adv)
Monomials
Exponents
MA5-IND-P-02 describes and performs operations with surds and fractional indices (Path: Adv)
Rational exponents
Roots
Radical expressions
MA5-IND-P-02 describes and performs operations with surds and fractional indices (Path: Adv)
Rational exponents
Roots
Radical expressions
MA5-EQU-C-01 solves linear equations of up to 3 steps, limited to one algebraic fraction
Verify solutions
Model and solve equations
Solve equations
MA5-EQU-C-01 solves linear equations of up to 3 steps, limited to one algebraic fraction
Verify solutions
Model and solve equations
Solve equations
MA5-EQU-P-01 solves monic quadratic equations, linear inequalities and cubic equations of the form ax3=k (Path: Adv)
Linear inequalities
Non-linear equations
MA5-EQU-P-01 solves monic quadratic equations, linear inequalities and cubic equations of the form ax3=k (Path: Adv)
Linear inequalities
Non-linear equations
MA5-EQU-P-02 solves linear equations of more than 3 steps, monic and non-monic quadratic equations, and linear simultaneous equations (Path: Adv)
Linear equations
Simultaneous linear equations
Literal equations
Quadratic equations
MA5-EQU-P-02 solves linear equations of more than 3 steps, monic and non-monic quadratic equations, and linear simultaneous equations (Path: Adv)
Linear equations
Simultaneous linear equations
Literal equations
Quadratic equations
MA5-LOG-P-01 establishes and applies the laws of logarithms to solve problems (Path: Adv)
MA5-LOG-P-01 establishes and applies the laws of logarithms to solve problems (Path: Adv)
Ratios and rates
MA5-RAT-P-01 identifies and solves problems involving direct and inverse variation and their graphical representations (Path: Stn, Adv)
Proportions
Constant of proportionality
Identify proportional relationships
Represent proportional relationships
MA5-RAT-P-01 identifies and solves problems involving direct and inverse variation and their graphical representations (Path: Stn, Adv)
Proportions
Constant of proportionality
Identify proportional relationships
Represent proportional relationships
MA5-RAT-P-02 analyses and constructs graphs relating to rates of change (Path: Adv)
MA5-RAT-P-02 analyses and constructs graphs relating to rates of change (Path: Adv)
Linear and non-linear relationships
MA5-LIN-C-01 determines the midpoint, gradient and length of an interval, and graphs linear relationships, with and without digital tools
MA5-LIN-C-01 determines the midpoint, gradient and length of an interval, and graphs linear relationships, with and without digital tools
MA5-LIN-C-02 graphs and interprets linear relationships using the gradient/slope-intercept form
Gradient/slope-intercept form
Parallel and perpendicular lines
MA5-LIN-C-02 graphs and interprets linear relationships using the gradient/slope-intercept form
Gradient/slope-intercept form
Parallel and perpendicular lines
MA5-LIN-P-01 describes and applies transformations, the midpoint, gradient/slope and distance formulas, and equations of lines to solve problems (Path: Adv)
Midpoint and distance formulas
Gradient formula
Gradient/slope-intercept form
Standard form
Horizontal and vertical lines
Point-gradient form
Parallel and perpendicular lines
MA5-LIN-P-01 describes and applies transformations, the midpoint, gradient/slope and distance formulas, and equations of lines to solve problems (Path: Adv)
Midpoint and distance formulas
Gradient formula
Gradient/slope-intercept form
Standard form
Horizontal and vertical lines
Point-gradient form
Parallel and perpendicular lines
MA5-NLI-C-01 identifies connections between algebraic and graphical representations of quadratic and exponential relationships in various contexts
MA5-NLI-C-01 identifies connections between algebraic and graphical representations of quadratic and exponential relationships in various contexts
MA5-NLI-C-02 identifies and compares features of parabolas and exponential curves in various contexts
MA5-NLI-C-02 identifies and compares features of parabolas and exponential curves in various contexts
MA5-NLI-P-01 interprets and compares non-linear relationships and their transformations, both algebraically and graphically (Path: Adv)
Linear and nonlinear relationships
Exponential functions
Quadratic functions
Circles
MA5-NLI-P-01 interprets and compares non-linear relationships and their transformations, both algebraically and graphically (Path: Adv)
Linear and nonlinear relationships
Exponential functions
Quadratic functions
Circles
MA5-POL-P-01 defines, operates with and graphs polynomials and applies the factor and remainder theorems to solve problems (Path: Adv, Ext)
Understand polynomials
Add and subtract polynomials
Multiply polynomials
Divide polynomials
Roots
Graphs
MA5-POL-P-01 defines, operates with and graphs polynomials and applies the factor and remainder theorems to solve problems (Path: Adv, Ext)
Understand polynomials
Add and subtract polynomials
Multiply polynomials
Divide polynomials
Roots
Graphs
MA5-FNC-P-01 uses function notation to describe and graph functions of one variable and graphs inequalities in one and 2 variables (Path: Adv)
Relations and functions
Function notation and graphs
MA5-FNC-P-01 uses function notation to describe and graph functions of one variable and graphs inequalities in one and 2 variables (Path: Adv)
Relations and functions
Function notation and graphs
Measurement and space
Pythagoras and trigonometry
MA5-TRG-C-01 applies trigonometric ratios to solve right-angled triangle problems
MA5-TRG-C-01 applies trigonometric ratios to solve right-angled triangle problems
MA5-TRG-C-02 applies trigonometry to solve problems, including bearings and angles of elevation and depression
MA5-TRG-C-02 applies trigonometry to solve problems, including bearings and angles of elevation and depression
MA5-TRG-P-01 applies Pythagoras' theorem and trigonometry to solve 3-dimensional problems and applies the sine, cosine and area rules to solve 2-dimensional problems, including bearings (Path: Stn, Adv)
Pythagoras' theorem
Sine and Cosine
MA5-TRG-P-01 applies Pythagoras' theorem and trigonometry to solve 3-dimensional problems and applies the sine, cosine and area rules to solve 2-dimensional problems, including bearings (Path: Stn, Adv)
Pythagoras' theorem
Sine and Cosine
MA5-TRG-P-02 establishes and applies the properties of trigonometric functions and finds solutions to trigonometric equations (Path: Adv)
MA5-TRG-P-02 establishes and applies the properties of trigonometric functions and finds solutions to trigonometric equations (Path: Adv)
Length, area and volume
MA5-ARE-C-01 solves problems involving the surface area of right prisms and practical problems involving the area of composite shapes and solids
Area
Surface area
MA5-ARE-C-01 solves problems involving the surface area of right prisms and practical problems involving the area of composite shapes and solids
Area
Surface area
MA5-ARE-P-01 applies knowledge of the surface area of right pyramids and cones, spheres and composite solids to solve problems (Path: Stn, Adv)
MA5-ARE-P-01 applies knowledge of the surface area of right pyramids and cones, spheres and composite solids to solve problems (Path: Stn, Adv)
MA5-VOL-C-01 solves problems involving the volume of composite solids consisting of right prisms and cylinders
MA5-VOL-C-01 solves problems involving the volume of composite solids consisting of right prisms and cylinders
MA5-VOL-P-01 applies knowledge of the volume of right pyramids, cones and spheres to solve problems involving related composite solids (Path: Stn, Adv)
MA5-VOL-P-01 applies knowledge of the volume of right pyramids, cones and spheres to solve problems involving related composite solids (Path: Stn, Adv)
Geometrical properties and figures
MA5-GEO-C-01 identifies and applies the properties of similar figures and scale drawings to solve problems
MA5-GEO-C-01 identifies and applies the properties of similar figures and scale drawings to solve problems
MA5-GEO-P-01 establishes conditions for congruent triangles and similar triangles and solves problems relating to properties of similar figures and plane shapes (Path: Ext)
Congruence
Similarity
Interior angles
MA5-GEO-P-01 establishes conditions for congruent triangles and similar triangles and solves problems relating to properties of similar figures and plane shapes (Path: Ext)
Congruence
Similarity
Interior angles
MA5-GEO-P-02 constructs proofs involving congruent triangles and similar triangles and proves properties of plane shapes (Path: Ext)
MA5-GEO-P-02 constructs proofs involving congruent triangles and similar triangles and proves properties of plane shapes (Path: Ext)
MA5-CIR-P-01 applies deductive reasoning to prove circle theorems and solve related problems (Path: Ext)
MA5-CIR-P-01 applies deductive reasoning to prove circle theorems and solve related problems (Path: Ext)
Statistics and probability
Data classifications, visualisation and analysis
MA5-NET-P-01 solves problems involving the characteristics of graphs/networks, planar graphs and Eulerian trails and circuits (Path: Stn)
MA5-NET-P-01 solves problems involving the characteristics of graphs/networks, planar graphs and Eulerian trails and circuits (Path: Stn)
MA5-DAT-C-01 compares and analyses datasets using summary statistics and graphical representations
MA5-DAT-C-01 compares and analyses datasets using summary statistics and graphical representations
MA5-DAT-C-02 displays and interprets datasets involving bivariate data
MA5-DAT-C-02 displays and interprets datasets involving bivariate data
MA5-DAT-P-01 plans, conducts and reviews a statistical inquiry into a question of interest (Path: Stn, Adv)
MA5-DAT-P-01 plans, conducts and reviews a statistical inquiry into a question of interest (Path: Stn, Adv)
Probability
MA5-PRO-C-01 solves problems involving probabilities in multistage chance experiments and simulations
MA5-PRO-C-01 solves problems involving probabilities in multistage chance experiments and simulations
MA5-PRO-P-01 solves problems involving Venn diagrams, 2-way tables and conditional probability (Path: Adv)
MA5-PRO-P-01 solves problems involving Venn diagrams, 2-way tables and conditional probability (Path: Adv)