This IB Math AI SL 2.6 – Developing Models worksheet helps students learn how to construct, test, and refine mathematical models based on real-world data.
Through examples involving linear regression, quadratic motion, exponential growth, sinusoidal patterns, logarithmic relationships, rational models, and piecewise functions, learners explore how to represent diverse phenomena, from depreciation and tides to sound levels and cooling rates, using appropriate function types.
Each task emphasizes interpreting parameters in context, assessing model suitability, and discussing limitations, encouraging critical thinking about when and why models work. This worksheet is ideal for practice, assessment, or revision on mathematical modelling and real-world applications.
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