Probability
11.1 Sets and Venn Diagrams
Sets · Intersection · Union · Complement · Venn diagrams (2- and 3-set) · Sample space
11.2 Probability
Experimental & theoretical probability · Compound events · Tree diagrams · Two-way tables · Conditional probability · Mutually exclusive vs independent · Testing for independence
Functions
11.3 Functions
Definition of function & relation · Domain, range, vertical line test · Function notation · [EXT] Inverse and composite functions · [EXT] Absolute-value and step functions
11.5 Transformations of Functions
Translations and dilations · Reflections · Algebraic and graphical forms a·f(x), f(ax), f(x)+c
11.6 Exponential and Logarithmic Functions
Exponential shape and asymptote · Growth and decay · Depreciation and compound interest · Contextual meaning of parameters · [EXT] Index laws for rational indices · [EXT] Introduction to logarithms, log laws and log equations
11.12 Mini IA — DP exploration practice
DP IA-style mini project — choose a question, model it, write it up; bridge to the Year 12 Exploration
Algebra
11.4 Quadratic Functions
Solving by factorising and quadratic formula · Completing the square · Switching between forms · Quadratic graphs (vertex, axis of symmetry, roots, intercepts) · Quadratic modelling · [EXT] Inequalities · [EXT] Use of discriminant
11.10 Systems of Equations
Simultaneous equations (substitution, elimination, graphical, technology) · Word problems · [EXT] Systems for fitting model coefficients using technology
11.11 Algebraic Fractions
Algebraic simplification · Linear-equation review · Operations with algebraic fractions · Complex fractions
Geometry
11.7 Non-right-angle Trigonometry
Sine rule · Cosine rule · Area of a triangle · Bearings · Problem-solving · [EXT] Ambiguous case of sine rule
11.8 Unit Circle
Radian measure · Full unit circle · Arc length, sector and segment area · Special triangles, exact values · Negative-angle, complementary-angle and Pythagorean identities · sin/cos/tan equations
11.9 Trigonometric Modelling
Periodic behaviour · Sine and cosine functions · Fitting periodic models to data · [EXT] Set functions