Course map
Algebra
- LessonPractice
Formulas, equations and linear relationships
Year 11: Formulas and equations; Linear relationships- Substitute into formulas, change the subject and solve linear equations in context
- Use speed, stopping distance, BAC and medication formulas
- Model with linear functions and direct variation
- LessonPractice
Algebraic relationships
Year 12: Algebraic relationships- Solve simultaneous linear equations in context
- Model with exponential, quadratic and reciprocal relationships
Financial mathematics
- LessonPractice
Earning and managing money
Year 11: Earning money; Managing money- Calculate wages, overtime, commission and piecework
- Find taxable income and tax payable from a given tax table, and GST
- Compare purchases and build budgets
- LessonPractice
Investment, loans and annuities
Year 12: Investment and loans; Annuities- Calculate simple and compound interest, inflation and depreciation
- Work with credit cards and reducing balance loans
- Use tables of interest factors for annuities
Measurement
- LessonPractice
Measurement, time and location
Year 11: Applications of measurement; Time and location- Convert metric units and use scientific notation with standard prefixes
- Find perimeters, areas and volumes
- Use latitude and longitude, and solve time zone problems
- LessonPractice
Trigonometry, ratios and rates
Year 12: Trigonometry; Ratios and rates- Solve right-angled and non-right-angled triangles, with bearings and radial surveys
- Use ratios, scale drawings and map scales
- Use rates: unit rates, speed, fuel consumption and energy
Networks
- LessonPractice
Networks, paths and trees
Year 11: Networks, paths and trees- Use network language: vertices, edges, degree, weighted networks
- Find shortest paths and minimum spanning trees
- LessonPractice
Network flow and critical path analysis
Year 12: Network flow; Critical path analysis- Find the maximum flow of a network with cuts
- Find earliest and latest start times, float and the critical path
Statistics
- LessonPractice
Data analysis
Year 11: Data analysis- Classify data and plan a statistical investigation
- Find measures of centre and spread, quartiles and the interquartile range
- Use five-number summaries and box plots, and identify outliers
- LessonPractice
Bivariate data analysis
Year 12: Bivariate data analysis- Describe correlation, find and use the least-squares line, and interpolate and extrapolate
- LessonPractice
Probability and the normal distribution
Year 12: Relative frequency and probability; The normal distribution- Find probabilities with trees, Venn diagrams and two-way tables, and expected frequencies
- Use z-scores and the empirical rule for the normal distribution
The HSC examination
NSW HSC Mathematics Standard 2, Year 11 and Year 12. The HSC examines Year 11 and Year 12 content. School-based assessment is set by your school, so it is described in a lesson rather than practised here.