Applications & Interpretation HL · Topic 2 · Functions

IB Math AI HL Modelling with Functions Worksheet (with full solutions)

Choosing, fitting and evaluating linear, quadratic, exponential, sinusoidal and other models for real data.

32 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Applications and Interpretation HL students.

32pages
120marks
3difficulty levels
Yessolutions included
T2Functions

Download the AI HL Modelling with Functions worksheet (PDF) ↓   All AI HL worksheets →

What this AI HL modelling with functions worksheet covers

Choosing, fitting and evaluating linear, quadratic, exponential, sinusoidal and other models for real data. The questions follow the order of the AI HL syllabus for Topic 2 (Functions) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Selecting a model type from the context and shape of the data
Finding parameters from given points or by regression
Interpreting parameters in context
Evaluating the limitations of a model
Exam tip for this topic. Say why the model fits the context (e.g. "exponential because the rate of growth is proportional to the population") — that sentence is often a mark.

Preview

How to use it

  1. Do the first band without the AI HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AI HL worksheets on Functions

✓ = solutions included

The same topic for other courses

Questions

Is this AI HL modelling with functions worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Applications and Interpretation HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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