This IB Maths AI HL 2.10 - Scaling Using Logarithms resource introduces logarithmic scaling, linearisation, and modelling with log-log and semi-log graphs, and is fully aligned with the IB Applications and Interpretation HL syllabus.
Students learn why logarithmic scales are useful when data values span many orders of magnitude. The notes explain how log scales make very large or very small values easier to compare and interpret on graphs.
The resource helps students understand how logarithms can be used to transform curved data into a straight-line relationship. Students compare linear, exponential, and power models, then decide which transformed graph best fits the data.
Structured practice guides students through choosing a logarithmic scale, interpreting semi-log and log-log graphs, and analysing mammal heartbeat data. Students use logarithm laws and regression to identify a suitable non-linear model.
Ideal for IB Maths AI HL teachers teaching logarithmic scales, data transformation, linearisation, semi-log graphs, log-log graphs, exponential models, power models, and technology-supported modelling.
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