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. Read values from a linear graph Read a coordinate directly off a straight-line graph on a grid, then state the y-value at a given x. Builds graph-interpretation skill where the value must be extracted from the diagram, not given in the text. Read the gradient of a linear graph Read the coordinates of two points off a straight-line graph, then calculate the gradient as rise over run. Builds the skill of extracting values from a diagram and combining them, not just reading a single value. Read values from a curve Read a coordinate off a curved (parabola) graph on a grid, then state the y-value at a given x. Extends graph reading from straight lines to curves, where the height changes at different rates. Solve simultaneous equations from a graph Read the x-coordinate of the point where two straight lines cross - the solution of the pair of simultaneous equations.