Indices and surds
	Index law 3 and the zero power
	Negative indices
	Index notation
	Index laws 1 and 2
	Index laws 4 and 5
	Scientific notation
Pythagoras' theorem and trigonometry
	Applying trigonometry
	Pythagoras in three dimensions
	Pythagoras' theorem
	Trigonometric ratios
	Finding the length of the shorter sides
	Applying Pythagoras' theorem
	Solving for the denominator
	Finding an angle
	Bearings
	Finding side lengths
Introduction to quadratic equations and graphs
	Solving ax^2+bx+c=0
	Applications of quadratic equations
	The parabola
	Quadratic equations
	Solving ax^2+bx=0 and x^2=d
Probability and statistics
	Stem-and-leaf plots
	Summarising data: measures of centre
	Grouped data
	Venn diagrams and two-way tables
	Using set notation
	Measures of spread
	Using arrays for two-step experiments
	Probability review
Linear and simultaneous equations
	Equations with brackets and pronumerals on both sides
	Solving word problems
	Expanding algebraic expressions
	Simultaneous equations: elimination
	Inequalities
	Solving linear equations
	Simultaneous equations: substitution
	Algebraic expressions
	Simplifying algebraic expressions
Algebraic techniques
	Factorisation by grouping
	Factorising algebraic expressions
	Perfect squares and difference of perfect squares
	Factorising quadratic trinomials
	Expanding binomial products
	Factorising the difference of perfect squares
Geometry
	Parallel lines
	Angles and triangles
	Quadrilaterals and other polygons
	Proving and applying similar triangles
	Enlargement and similar figures
	Congruent triangles
Linear relations
	Gradient–intercept form
	Lines with one intercept
	Gradient and direct proportion
	Finding the equation of a line
	Introduction to linear relations
	Graphing straight lines using intercepts
	Midpoint and length of a line segment
	Perpendicular and parallel lines
	Gradient
Measurement
	Volume of prisms
	Surface area of a cylinder
	Composite shapes
	Circumference and perimeter of a sector
	Area
	Surface area of prisms and pyramids