
This IB Maths AI HL 2.9 resource introduces additional modelling functions, including natural logarithmic, sinusoidal, logistic, piecewise, and exponential decay models, and is fully aligned with the IB Applications and Interpretation HL syllabus.
Students learn how to recognise when different function types are appropriate for modelling real-world situations. The notes focus on identifying key features such as domains, ranges, asymptotes, amplitude, period, midline, phase shift, carrying capacity, and half-life.
The resource guides students through several important modelling contexts, including bear population growth using a logistic model, chemical decay using an exponential model, and piecewise functions where different rules apply over different intervals.
Structured practice helps students use graphing technology and algebra to solve modelling questions, interpret parameters, and make sense of answers in context.
Ideal for IB Maths AI HL teachers teaching additional modelling functions, logarithmic models, sinusoidal models, logistic growth, piecewise functions, exponential decay, and real-world applications.
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