Simplifying algebra expressions with like terms

Index laws

Equations

Solving equations after substitution

Changing the subject

Simultaneous Linear Equations

Simplifying algebra expressions with like terms

Index laws

Equations

Solving equations after substitution

Changing the subject

Simultaneous Linear Equations

Modelling and graphing linear relationships

Intersecting graphs and break even analysis

Quadratic equations

Cubic, hyperbolic and exponential equations

Algebraic modelling

Direct variation

Inverse variation

Area of circles, annuluses, sectors and composite shapes

Simpson’s rule

Surface area of prisms, cylinder and spheres

Volume of pyramids, cones and composite

Error and measurement

Trigonometric ratios

Sine rule

Cosine rule

Area of a triangle

Bearings

Surveying

Number of arrangements

Ordered and unordered selection

Multistage events: replacement and non-replacement

Product rule in probability trees

Addition rule in probability trees

Expected outcomes and expected value

Simple interest

Loan repayments

Comparing loans

Credit cards

Future value

Present value

Annuities

Loan repayments

Arc lengths

Definition of latitude and longitude

Great circles

Time differences and time zones

Grouped data and frequency histograms

Mean, mode, median

Measures of spread

Two way tables

Stem-and-leaf plots

Box-and-whisker plots

Summary statistics and data analysis

Area charts and radar charts

Z-score formula

Bivariate data analysis using z-scores

The Normal distribution

Correlation coefficients

Line of best fit

Medication dosages

Water supply and usage

Energy supply and consumption

Sustainable living

Network Concepts

Critical Path Analysis