Mathematics Standard 2
Year 12 · Stage 6 · NSW Mathematics syllabus
Types of relationships
Construct and interpret graphs of practical non-linear relationships; solve simultaneous linear equations graphically and algebraically; model and interpret break-even points and real-world applications.
2 sub-topics
Non-right-angled trigonometry
Apply the sine rule, cosine rule and area formula to non-right-angled triangles; solve bearing and radial survey problems.
4 sub-topics
Rates and ratios
Convert between units and compound units; solve problems involving rates (fuel consumption, heart rate, energy, speed); divide quantities in a given ratio; apply scale factors to lengths, areas and volumes of similar figures.
2 sub-topics
Investments and loans
Apply simple and compound interest to investments and loans; calculate present and future values; analyse shares, dividends and reducing-balance loans.
2 sub-topics
Annuities
Calculate the future and present value of annuities using recurrence relations and tables; apply to superannuation accumulation, loan repayments and retirement drawdowns.
2 sub-topics
Bivariate data analysis
Construct and interpret scatterplots; describe the direction, form and strength of associations; estimate and interpret Pearson's correlation coefficient r; fit a line of best fit and use it for prediction.
2 sub-topics
The normal distribution
Standardise values using z-scores; interpret and compare z-scores across distributions; apply the empirical (68–95–99.7%) rule to find proportions and expected counts within normally distributed data.
2 sub-topics
Network flow
Analyse directed networks with capacities; apply the maximum-flow minimum-cut theorem to find the maximum flow through a network.
2 sub-topics
Critical path analysis
Represent and analyse projects as activity networks; perform forward and backward scans to find earliest and latest start times; identify the critical path and minimum project completion time.
3 sub-topics