Year 9
Stage 5 · NSW Mathematics syllabus
Index laws
Apply index laws to simplify expressions, work with zero and negative indices, and use scientific notation.
3 sub-topics
Equations
Solve and apply linear equations, linear inequalities, and substitute into formulas.
3 sub-topics
Linear relationships
Explore gradient, intercepts, and graphing of linear equations. Identify and apply direct proportion.
3 sub-topics
Pythagoras' theorem
Apply Pythagoras' theorem to find unknown sides in right-angled triangles and solve real-world problems.
4 sub-topics
Trigonometry
Use trigonometric ratios to find unknown sides and angles in right-angled triangles, including angles of elevation and depression.
4 sub-topics
Surface area and volume
Calculate surface area and volume of prisms and cylinders, and apply these to real-world problems.
4 sub-topics
Geometrical properties
Explore properties of triangles and quadrilaterals, and apply congruence and similarity tests.
4 sub-topics
Financial mathematics
Apply percentages and interest formulas to solve problems involving simple interest, compound interest, and earning money.
4 sub-topics
Statistics and data
Classify data types, calculate measures of centre and spread, display data in graphs, and interpret statistical displays.
5 sub-topics
Probability
Calculate theoretical and experimental probability, use Venn diagrams, and apply complementary event rules.
5 sub-topics
Simultaneous equations
Extension topicSolve pairs of simultaneous equations using substitution, elimination and graphical methods. Apply these techniques to real-world problems.
3 sub-topics