Every lesson in Year 9 Maths (Stage 5), mapped to its outcome in the NSW Mathematics K–10 Syllabus (2022). Stage 5 covers Years 9 and 10 and has 41 outcomes.
MA5-ALG-C-01Algebraic techniquesSimplifies algebraic fractions with numerical denominators and expands algebraic expressions.
MA5-EQU-C-01EquationsSolves linear equations of up to 3 steps, limited to one algebraic fraction.
MA5-LIN-C-01Linear relationships2 lessonsDetermines the midpoint, gradient and length of an interval, and graphs linear relationships, with and without digital tools.
MA5-LIN-C-02Linear relationships2 lessonsGraphs and interprets linear relationships using the gradient/slope-intercept form.
MA5-NLI-C-01Non-linear relationshipsNo lessonsIdentifies connections between algebraic and graphical representations of quadratic and exponential relationships in various contexts.
MA5-NLI-C-02Non-linear relationshipsNo lessonsIdentifies and compares features of parabolas and exponential curves in various contexts.
MA5-ALG-P-01Algebraic techniques (Path: Adv)Simplifies algebraic fractions involving indices, and expands and factorises algebraic expressions.
MA5-ALG-P-02Algebraic techniques (Path: Adv)No lessonsSelects and applies appropriate algebraic techniques to operate with algebraic fractions, and expands, factorises and simplifies algebraic expressions.
MA5-EQU-P-01Equations (Path: Adv)Solves monic quadratic equations, linear inequalities and simple cubic equations.
MA5-EQU-P-02Equations (Path: Adv)No lessonsSolves linear equations of more than 3 steps, monic and non-monic quadratic equations, and linear simultaneous equations.
MA5-LIN-P-01Linear relationships (Path: Adv)Describes and applies transformations, the midpoint, gradient/slope and distance formulas, and equations of lines to solve problems.
MA5-NLI-P-01Non-linear relationships (Path: Adv)No lessonsInterprets and compares non-linear relationships and their transformations, both algebraically and graphically.
MA5-POL-P-01Polynomials (Path: Adv, Ext)No lessonsDefines, operates with and graphs polynomials and applies the factor and remainder theorems to solve problems.
MA5-LOG-P-01Logarithms (Path: Adv)No lessonsEstablishes and applies the laws of logarithms to solve problems.
MA5-FNC-P-01Functions and other graphs (Path: Adv)No lessonsUses function notation to describe and graph functions of one variable and graphs inequalities in one and 2 variables.
MA5-ARE-C-01Area and surface areaSolves problems involving the surface area of right prisms and practical problems involving the area of composite shapes and solids.
MA5-MAG-C-01Numbers of any magnitudeSolves measurement problems by using scientific notation to represent numbers and rounding to a given number of significant figures.
MA5-TRG-C-01Right-angled triangles (trigonometry)Applies trigonometric ratios to solve right-angled triangle problems.
MA5-TRG-C-02Right-angled triangles (trigonometry)Applies trigonometry to solve problems, including bearings and angles of elevation and depression.
MA5-VOL-C-01VolumeSolves problems involving the volume of composite solids consisting of right prisms and cylinders.
MA5-TRG-P-01Trigonometry (Path: Stn, Adv)No lessonsApplies Pythagoras' theorem and trigonometry to solve 3-dimensional problems and applies the sine, cosine and area rules to solve 2-dimensional problems, including bearings.
MA5-TRG-P-02Trigonometry (Path: Adv)No lessonsEstablishes and applies the properties of trigonometric functions and finds solutions to trigonometric equations.
MA5-ARE-P-01Area and surface area (Path: Stn, Adv)No lessonsApplies knowledge of the surface area of right pyramids and cones, spheres and composite solids to solve problems.
MA5-VOL-P-01Volume (Path: Stn, Adv)No lessonsApplies knowledge of the volume of right pyramids, cones and spheres to solve problems involving related composite solids.
MA5-DAT-C-01Data analysisCompares and analyses datasets using summary statistics and graphical representations.
MA5-DAT-C-02Bivariate dataNo lessonsDisplays and interprets datasets involving bivariate data.
MA5-DAT-P-01Data analysis (Path: Stn, Adv)No lessonsPlans, conducts and reviews a statistical inquiry into a question of interest.
MA5-FIN-C-01Financial mathematicsSolves financial problems involving simple interest, earning money and spending money.
MA5-FIN-C-02Financial mathematicsNo lessonsSolves financial problems involving compound interest and depreciation.
MA5-IND-C-01IndicesSimplifies algebraic expressions involving positive-integer and zero indices, and establishes the meaning of negative indices for numerical bases.
MA5-RAT-P-01Ratios and rates (Path: Stn, Adv)Identifies and solves problems involving direct and inverse variation and their graphical representations.
MA5-RAT-P-02Ratios and rates (Path: Stn, Adv)2 lessonsAnalyses and constructs graphs relating to rates of change.
MA5-IND-P-01Indices (Path: Adv)2 lessonsApplies the index laws to operate with algebraic expressions involving negative-integer indices.
MA5-IND-P-02Indices (Path: Adv)No lessonsDescribes and performs operations with surds and fractional indices.
MA5-GEO-C-01Properties of geometrical figuresIdentifies and applies the properties of similar figures and scale drawings to solve problems.
MA5-GEO-P-01Properties of geometrical figures (Path)No lessonsEstablishes conditions for congruent triangles and similar triangles and solves problems relating to properties of similar figures and plane shapes.
MA5-GEO-P-02Properties of geometrical figures (Path)No lessonsConstructs proofs involving congruent triangles and similar triangles and proves properties of plane shapes.
MA5-CIR-P-01Circle geometry (Path: Ext)No lessonsApplies deductive reasoning to prove circle theorems and solve related problems.
MA5-NET-P-01Networks (Path: Stn)No lessonsSolves problems involving the characteristics of graphs/networks, planar graphs and Eulerian trails and circuits.
MA5-PRO-C-01ProbabilitySolves problems involving probabilities in multistage chance experiments and simulations.
MA5-PRO-P-01Probability (Path: Adv)Solves problems involving Venn diagrams, 2-way tables and conditional probability.
Outcome codes and wording: NSW Education Standards Authority, Mathematics K–10 Syllabus (2022). A filled dot marks a released lesson; a grey dot marks one still staged.