SACE General Mathematics Stage 2 Notes

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

1. Scatter plots, explanatory and response variables and the statistical investigation processTopic 3 · Topic 3: Statistical models

   3.1 Bivariate statistics

2. Pearson's r and r²: direction, strength, outliers and causalityTopic 3 · Topic 3: Statistical models

   3.1 Bivariate statistics

3. Least squares linear regression: interpreting slope and intercept in contextTopic 3 · Topic 3: Statistical models

   3.1 Bivariate statistics

4. Residual plots and choosing between linear and exponential modelsTopic 3 · Topic 3: Statistical models

   3.1 Bivariate statistics

5. Exponential regression, interpolation, extrapolation and reliability of predictionsTopic 3 · Topic 3: Statistical models

   3.1 Bivariate statistics

6. The normal distribution: parameters, bell shape and the 68:95:99.7% ruleTopic 3 · Topic 3: Statistical models

   3.2 The normal distribution

7. Non-standard proportions and inverse normal calculations with technologyTopic 3 · Topic 3: Statistical models

   3.2 The normal distribution

8. Compound interest: finding FV, PV, n and I with the financial solverTopic 4 · Topic 4: Financial models

   4.1 Models for saving

9. Future value annuities: regular savings, total interest and 'what if' questionsTopic 4 · Topic 4: Financial models

   4.1 Models for saving

10. Tax, inflation, fees and effective annual rates when comparing investmentsTopic 4 · Topic 4: Financial models

    4.1 Models for saving

11. Present value annuities: a regular income from a lump sum and superannuationTopic 4 · Topic 4: Financial models

    4.1 Models for saving

12. Reducing-balance loans: repayments, total interest and the outstanding balanceTopic 4 · Topic 4: Financial models

    4.2 Models for borrowing

13. Reducing the interest paid: payment frequency, extra payments, lump sums, offset accounts and rate changesTopic 4 · Topic 4: Financial models

    4.2 Models for borrowing

14. Interest-only loans, sinking funds and comparison rates with feesTopic 4 · Topic 4: Financial models

    4.2 Models for borrowing

15. Precedence tables, directed networks and dummy linksTopic 5 · Topic 5: Discrete models

    5.1 Critical path analysis

16. Forward and backward scans: EST, LST, minimum completion time and the critical pathTopic 5 · Topic 5: Discrete models

    5.1 Critical path analysis

17. Slack time, crashing tasks and the assumptions and limitations of the modelTopic 5 · Topic 5: Discrete models

    5.1 Critical path analysis

18. Assignment problems and the Hungarian algorithm for minimum costTopic 5 · Topic 5: Discrete models

    5.2 Assignment problems

19. Maximum profit assignments, non-square arrays and multiple optimal solutionsTopic 5 · Topic 5: Discrete models

    5.2 Assignment problems

20. Interpreting assignment solutions: one-to-one assumptions and reasonableness in contextTopic 5 · Topic 5: Discrete models

    5.2 Assignment problems