Mathematics: Applications and Interpretation HL

Functions, modelling, and geometry

Model selection, transformations, logistic and sinusoidal models, and diagram-based applied reasoning.

Analyse logistic models Interpret carrying capacity, growth rate, inflection behaviour, and prediction values in logistic models. Fit and compare regression models Compare regression models using prediction, residuals, and fit measures while keeping context in view. Linearise exponential and power data Use logarithmic transformations to identify linearised slope, intercept, and model parameters. Interpret sinusoidal models Interpret amplitude, period, vertical shift, and maximum or minimum values in periodic contexts. Use Voronoi diagrams in context Use nearest-site reasoning and perpendicular-bisector ideas to interpret Voronoi-style decision regions.