Review of percentage and ratios
	Percentages
	Percentage increase and decrease
	Goods and Services Tax (GST)
	Ratio and proportion
	Dividing quantities in given ratios
	Unitary method
Investigating and comparing data distributions
	Classifying and displaying categorical data
	Interpreting and describing frequency tables and bar charts
	Displaying and describing numerical data
	Characteristics of distributions, dot plots and stem plots
	Measures of centre
	Measures of spread
	Percentages of data lying between multiple standard deviations of the mean
	Boxplots
	Comparing the distribution of a numerical variable across groups
Sequences and finance
	Number patterns
	Writing recurrence relations in symbolic form
	An introduction to arithmetic sequences
	Arithmetic sequences using recursion
	Finance applications using arithmetic sequences and recurrence relations
	An introduction to geometric sequences
	Recursion with geometric sequences
	Finance applications using geometric sequences and recurrence relations
Matrices
	The basics of a matrix
	Adding and subtracting matrices
	Scalar multiplication
	Matrix multiplication
	Inverse matrices and solving simultaneous equations using matrices
	Using matrices to model road and communication networks
	Matrix multiplication
Linear relations and modelling
	Substitution of values into a formula and constructing a table of values
	Solving linear equations and developing formulas
	Developing a formula: setting up and solving equations in two unknowns
	Drawing straight line graphs and finding their slope
	Equations of straight lines
	Finding the equation of a straight line graph
	Linear modelling
	Solving simultaneous equations
	Practical applications of simultaneous equations
Investigating relationships between two numerical variables
	Scatterplots
	How to interpret a scatterplot
	Pearson’s correlation coefficient (r)
Graphs and networks
	What is a graph?
	Isomorphic (equivalent) connected graphs and adjacency matrices
	Planar graphs and euler’s formula
	Walks, trails, paths, circuits and cycles
	Eulerian trails and circuits (optional)
	Hamiltonian paths and cycles (optional)
	Weighted graphs, networks and the shortest path problem
Variation
	Direct variation
	Inverse variation
Measurement, scale and similarity
	Approximations, decimal places and significant figures
	Pythagoras’ theorem
	Perimeter and area
	Length of an arc and area of a sector
	Volume
	Volume of a pyramid
	Surface area
	Similar figures
	Similar triangles
	Similar solids
Applications of trigonometry
	Trigonometry basics
	Finding an unknown side in a right-angled triangle
	Finding an angle in a right-angled triangle
	Applications of right-angled triangles
	Angles of elevation and depression
	Bearings and navigation
	The sine rule
	The cosine rule
	The area of a triangle