Stage 2 General Mathematics

Modelling with Linear Relationships

Linear Algebra Skills

• Finding the gradient between coordinates
• Graphing linear equations (slope-intercept form)
• Graphing linear equations (general form)
• Vertical and horizontal lines
• Finding equations of linear graphs in slope-intercept form (part 1)
• Finding equations of linear graphs in slope-intercept form (part 2)
• Finding equations of linear graphs in general form

Solving Simultaneous Equations (Cycling Puzzle Series)

• Introduction (Cycling Puzzle Part 1)
• Graphical solution (Cycling Puzzle Part 2)
• Solution by substitution (Cycling Puzzle Part 3)
• ​Solution by elimination (Cycling Puzzle Part 4)​

The Feasible Region (Fete Stall Series)

• Introduction (Fete Stall Part 1)
• Graphing the feasible region (Fete Stall Part 2)​
• Defining the feasible region (Fete Stall Part 3)
• Setting up additional constraints (Fete Stall Part 4)

​​Linear Programming Skills

• Constructing constraints
• Graphing constraints
• Finding the optimal solution
• Considering Wastage
• Dealing with Discrete Only Solutions

Modelling with Matrices

• Terminology of networks
• ​What are connectivity matrices?​
• What are dominance matrices?
• Transition Matrices

Statistical Models

Bivariate Statistics

• The statistical investigation process
• Association between variables
• The effects of outliers on correlation
• Causality
• Interpreting Pearson's correlation coefficient
• Calculating linear regression {TI-84 Plus CE}
• Interpreting values of linear regression
• Residual plots {TI-84 Plus CE}
• Calculating exponential regression {TI-84 Plus CE}
• Interpreting values of exponential regression
• ​Interpolation and extrapolation​

The Normal Distribution

• Properties of the bell shape curve
• Finding integral and non-integral probabilities {TI-84 Plus CE}
• Finding quantiles {TI-84 Plus CE}

Financial Models

Investments

• Simple interest formula
• Compound interest formula
• Compound interest {TI-84 Plus CE}
• Future value annuities
• Effective rates of interest
• Taxation
• Inflation
• Superannuation​

Loans

• Reducing balance loans
• Home loans (calculations with variable rates)
• Interest only loans and sinking funds
• Comparison interest rates

Strategies to minimise interest

• Making larger repayments
• Making more frequent repayments
• Reducing the term of the loan
• Changing interest rates
• Making lump-sum payments
• ​Using an offset account​

Discrete Models

Precedence Networks

• Creating Precedence Networks
• Forwards & Backwards Scans
• ​Forwards & Backwards Scans With Dummy Links

Assignment Problems

• Hungarian Algorithm

Exam Revision

2017 SACE General Maths Exam Solutions

• Question 1 of 9
• Question 2 of 9
• Question 3 of 9
• Question 4 of 9
• Question 5 of 9
• Question 6 of 9
• Question 7 of 9
• Question 8 of 9
• ​Question 9 of 9​