Mathematics Advanced
Year 11 · Stage 6 · NSW Mathematics syllabus
Working with functions
Apply algebraic techniques and work with linear, quadratic, cubic, reciprocal, absolute value and piecewise functions.
6 sub-topics
Trigonometry and measure of angles
Apply trig ratios, sine and cosine rules, and work with radians and trigonometric graphs.
4 sub-topics
Trigonometric identities and equations
Define reciprocal trig ratios, apply Pythagorean and complementary identities, and prove and solve trig equations.
3 sub-topics
Graph transformations
Apply reflections, translations, dilations and combined transformations; work with circles.
3 sub-topics
Exponential and logarithmic functions
Graph and interpret exponential and logarithmic functions, apply log laws and solve equations.
2 sub-topics
Introduction to differentiation
Find derivatives using first principles and differentiation rules; apply to tangents, normals and rates of change.
4 sub-topics
Probability and data
Use sets and Venn diagrams, apply probability rules and conditional probability, and classify random variables.
4 sub-topics