Formulas
Topic 1 Mathematical modelling
Topic 2 Financial mathematics
 Earning money (Preliminary)
 Salary and wages
 Casual employment
 Parttime employment
 Commission
 Piecework
 Overtime
 Penalty rates
 Holiday pay
 Holiday loading
 Budgeting (Preliminary)
 Taxation (Preliminary)
 PAYE, PAYG
 Gross income
 Deductions
 Tax payable
 Credit and borrowing (HSC)
 Simple interest
 Compound interest
 Annuities and loan repayments (HSC)
 Future value of an annuity
 Present value of an annuity
 Depreciation (HSC)
 Spreadsheet applications (HSC)
 Calculation of compound and simple interest
 Calculation of annuities
 Tax calculations
 Spreadsheet formulas
Topic 3 Data analysis
 Graphs (Preliminary)
 Picturegrams
 Pie charts
 Column graphs
 Dot plots
 Stemandleafplots
 Line graphs
 Histograms and polygons
 Data collection, sorting and display
 Random variables
 Frequency
 Cumulative frequency
 Relative frequency
 Distribution tables
 Interpreting sets of data (HSC)
 Measures of central tendency
 Measures of dispersion: range, variance,
 Deviations, interquartile range
 Boxandwhisker plots
 Uses of the standard deviation (HSC)
 Normal distribution
 zscores
 Correlation using scatter plots (HSC)
 Positive correlation
 Negative correlation
Topic 4 Measurement
 Units of measurement (Preliminary)
 Units and symbols
 Time and calendar
 Measuring instruments
 Measuring angles
 Rounding
 Scientific notation
 Ratio
 Rates and conversions
 Solid shapes
 Nets
 Scale drawing
 Plans
 Perspective drawing
 Applications of area and volume
 Similarity
 Calculation of sides
 Pythagoras' theorem (rightangled triangles)
 Trigonometry
 Angles of elevation and depression
 The field notebook
 Scale diagrams
 Parts of a circle


 Mensuration (HSC)
 Perimeter
 Area
 Volume
 Capacity
 Mass
 Surface area
 Formulas for perimeter and area of 2D figures
 Formulas for surface area and volume of 3D figures
 Composite figures
 Simpson's rule
 Applications of trigonometry (HSC)
 Bearings
 Angles of any magnitude
 Nonrightangled triangles: sine and cosine rules
 Area of a triangle
 Radial survey
 Spherical geometry (HSC)
 The earth as a sphere
 The earth's axis and the equator
 Parallels of latitude and distances
 Topic 5 Probability
 Definitions
 Likely outcomes
 Experimental probability
 Theoretical probability
 Probability that an event does not occur
 The multiplication principle
 Counting techniques (HSC)
 Boxfilling technique
 Tree diagrams
 Grid diagrams
 Sets: intersection, union, notation
 Venn diagrams
 Multistage events (HSC)
 The addition theorem of probability
 Mutuallyexclusive events
 The product theorem of probability
 Independent events
 Dependent events:
 Applications of probability (HSC)
 Probability trees
 Permutations
Topic 6 Algebraic modelling
 Basic algebraic skills (Preliminary)
 Pronumerals
 Algebraic abbreviations
 Like and unlike terms .
 Simplifying algebraic expressions
 Removing grouping symbols
 Binomial products
 Perfect squares
 Reduction
 Multiplication and division
 Addition and subtraction
 Substitution
 Algebraic skills and techniques
 Solving equations
 Solving inequations and graphing solutions on the number line
 Formulas
 Modelling linear relationships
 The number plane
 Plotting points
 Graphing linear equations
 Gradient and distance of an interval joining two points
 Equations of lines
 Lines of best fit
 Equations with square roots
 Intersection of two lines
 Simultaneous equations
 Graphs
 Curves
 Variation
