IB Maths AI 2.4 Notes

This page contains our IB Maths AI notes for 2.4. By reading each one of these notes, you will fully cover the content for IB Maths AI 'Modelling applications'.

All Topic 2 Sub-topics 2.1: Forms Of Lines 2.2: Introduction To Functions 2.3: Introduction To Modelling Functions 2.4: Modelling Applications (HL)2.5: Further functions (HL)2.6: Graph transformations (HL)2.7: Advanced modelling functions (HL)2.8: Logarithmic graphs

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Chapters

1. The modelling process

2. Choosing a model

3. Determining a reasonable domain

4. Finding parameters

5. Testing a model

6. Iinterpreting parameters

7. Extrapolation & interpolation

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The modelling process

In this section, we focus on how to build, test, and use mathematical models.

A mathematical model is a function or equation chosen to describe a real situation.

The aim is not just to do calculations, but to decide whether a model is suitable, find its parameters, and use it sensibly.

Mathematical modelling usually follows four main stages:

Identify the important quantities and decide what variables should be used.
Choose an appropriate model based on the context and the shape of the data.
Find the parameters of the model.
Test the model, reflect on whether it is reasonable, and then use it to make interpretations or predictions.

A good model should fit the situation, use sensible assumptions, and give realistic outputs over an appropriate domain.

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