WACE Mathematics Applications Year 12 Notes

These are the 20 revision notes inside the WACE Mathematics Applications Mastery Pack. Open any note to see what it covers before you buy.

1. The statistical investigation process and describing association in percentaged two-way tables3 · Topic 3.1: Bivariate data analysis

   Statistical investigation process and two-way tables

2. Scatterplots, direction-form-strength, the correlation coefficient r and the coefficient of determination3 · Topic 3.1: Bivariate data analysis

   Scatterplots, correlation and explained variation

3. Fitting and interpreting the least-squares line, residual plots, interpolation and extrapolation3 · Topic 3.1: Bivariate data analysis

   Least-squares line, residuals and prediction

4. Association versus causation: coincidence, confounding and common response3 · Topic 3.1: Bivariate data analysis

   Association and causation

5. Arithmetic sequences: recursion, nth-term rules and linear growth and decay3 · Topic 3.2: Growth and decay in sequences

   Arithmetic sequences

6. Geometric sequences: recursion, nth-term rules and exponential growth and decay3 · Topic 3.2: Growth and decay in sequences

   Geometric sequences

7. First-order linear recurrence relations, long-term behaviour and steady state3 · Topic 3.2: Growth and decay in sequences

   First-order linear recurrence relations

8. Graphs, digraphs and networks: terminology, adjacency matrices and multi-stage matrices3 · Topic 3.3: Graphs and networks

   Graph terminology and adjacency matrices

9. Planar graphs, faces and Euler's formula v + f − e = 23 · Topic 3.3: Graphs and networks

   Planar graphs and Euler's formula

10. Walks, trails, paths, cycles, shortest paths, Eulerian and Hamiltonian graphs3 · Topic 3.3: Graphs and networks

    Walks, Eulerian and Hamiltonian graphs

11. Time series plots: trend, seasonality, irregular fluctuations and outliers4 · Topic 4.1: Time series analysis

    Time series plots and features

12. Smoothing a time series with simple moving averages4 · Topic 4.1: Time series analysis

    Moving averages and smoothing

13. Seasonal indices by the average percentage method, deseasonalising and predicting from the trend line4 · Topic 4.1: Time series analysis

    Seasonal indices, deseasonalising and trend prediction

14. Compound interest loans and investments: recurrence relations and the effective annual rate4 · Topic 4.2: Loans, investments and annuities

    Compound interest recurrence and effective rates

15. Solving compound interest and depreciation problems with the finance solver4 · Topic 4.2: Loans, investments and annuities

    Finance solver, investments and depreciation

16. Reducing balance loans: recurrence models, repayments and time to repay4 · Topic 4.2: Loans, investments and annuities

    Reducing balance loans

17. Annuities and perpetuities: recurrence models and finance-solver problems4 · Topic 4.2: Loans, investments and annuities

    Annuities and perpetuities

18. Trees, spanning trees, Prim's algorithm and minimum connector problems4 · Topic 4.3: Networks and decision mathematics

    Trees and minimum spanning trees

19. Project networks, forward and backward scanning, critical paths and float4 · Topic 4.3: Networks and decision mathematics

    Critical path analysis

20. Maximum flow-minimum cut and assignment problems with the Hungarian algorithm4 · Topic 4.3: Networks and decision mathematics

    Flow networks and assignment problems