Explore the skills · QCAA
General Mathematics
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Bivariate Data
- Two-way frequency tablesRevision skill
- Row and column percentagesRevision skill
- Categorical associationsRevision skill
- Explanatory and response variablesRevision skill
- ScatterplotsRevision skill
- Direction, form and strength of associationRevision skill
- Pearson's correlation coefficient (r)Revision skill
- Coefficient of determination (R²)Revision skill
- Converting and interpreting r and R²Revision skill
- Association versus causationRevision skill
Linear Models & Association
- Least-squares regression lineRevision skill
- Calculating a least-squares line from summary statisticsRevision skill
- Residual plotsRevision skill
- Assessing model suitabilityRevision skill
- Interpreting slope in contextRevision skill
- Interpreting intercept in contextRevision skill
- InterpolationRevision skill
- ExtrapolationRevision skill
- Making predictions from linear modelsRevision skill
- Risks and limitations of extrapolationRevision skill
- Non-causal explanations for associationRevision skill
Time Series
- Time-series plotsRevision skill
- Identifying trendRevision skill
- Identifying seasonalityRevision skill
- Identifying irregular fluctuationsRevision skill
- Moving averagesRevision skill
- Seasonal indicesRevision skill
- Average-percentage methodRevision skill
- DeseasonalisationRevision skill
- Least-squares trend modelsRevision skill
- Time-series predictionsRevision skill
Growth & Decay
- Arithmetic sequences recursivelyRevision skill
- Arithmetic sequences using the nth-term ruleRevision skill
- Linear growth and decayRevision skill
- Geometric sequences recursivelyRevision skill
- Geometric sequences using the nth-term ruleRevision skill
- Exponential growth and decayRevision skill
- Practical sequence modellingRevision skill
- Distinguishing arithmetic and geometric situationsRevision skill
Earth Geometry & Time Zones
- Great circlesRevision skill
- Latitude and longitudeRevision skill
- Degrees and minutesRevision skill
- Angular distanceRevision skill
- Distance along a meridianRevision skill
- Distance along a parallelRevision skill
- Practical Earth-distance problemsRevision skill
- GMT and UTCRevision skill
- International Date LineRevision skill
- Longitude and timeRevision skill
- Time differencesRevision skill
- Daylight saving timeRevision skill
Finance
- Compound-interest recurrence relationsRevision skill
- Compound-interest formulaRevision skill
- Effective annual rateRevision skill
- Reducing-balance loansRevision skill
- Ordinary annuitiesRevision skill
- Present value of an annuityRevision skill
- Future value of an annuityRevision skill
- Loan repaymentsRevision skill
- Total repayments and interestRevision skill
- PerpetuitiesRevision skill
- Comparing financial optionsRevision skill
Graphs & Networks
- Graph and network terminologyRevision skill
- Network diagramsRevision skill
- Adjacency matricesRevision skill
- Converting between adjacency matrices and graphsRevision skill
- Planar graphsRevision skill
- Euler's formulaRevision skill
- Walks, trails, paths and cyclesRevision skill
- Shortest pathsRevision skill
- Eulerian and semi-Eulerian graphsRevision skill
- Hamiltonian and semi-Hamiltonian graphsRevision skill
Decision Mathematics
- TreesRevision skill
- Spanning treesRevision skill
- Minimum spanning treesRevision skill
- Activity-on-arc project networksRevision skill
- Forward scanningRevision skill
- Backward scanningRevision skill
- Earliest starting timesRevision skill
- Latest starting timesRevision skill
- Critical pathRevision skill
- Project durationRevision skill
- FloatRevision skill
- Flow networksRevision skill
- CutsRevision skill
- Minimum cutRevision skill
- Maximum flowRevision skill
- Bipartite assignment problemsRevision skill
- Hungarian algorithm for minimisationRevision skill
- Hungarian algorithm for maximisationRevision skill