CIE A Level Maths: Pure 3

Revision Notes

1.4.1 Further Modelling with Functions

Test Yourself

Further Modelling with Functions

How do I solve modelling problems?

  • There will be no one-size-fits-all step-by-step guide to solving modelling questions
  • A combination of skills and problem-solving skills will be needed

 

Notes what_model_is, A Level & AS Level Pure Maths Revision Notes

Assumptions, criticisms and refinements in modelling

  • Modelling is a large part of A level mathematics
  • Assumptions and refinements to models often need to be considered
  • Real-life general knowledge and common sense can really help in mathematical modelling

 

Notes ass_crit_ref, A Level & AS Level Pure Maths Revision Notes

 

 

Notes model_lin_qu, A Level & AS Level Pure Maths Revision Notes

 

Notes model_lin_soltn, A Level & AS Level Pure Maths Revision Notes

 

Exam Tip

Read – and re-read – the question carefully. Try to “get involved” in the context of the question – however boring it may be!

    • Imagine what happens to a stone as you throw it from a cliff
    • What would it be like to manage a toy factory?

Draw a diagram – sketch a graph of the function being used as the model.

If you are completely stuck try “doing something” with the maths. For example, if there’s a quadratic function – sketch it, factorise it, solve it. Or if there’s a polynomial – use factor theorem and algebraic division to factorise it.

Worked example

Example soltn, A Level & AS Level Pure Maths Revision Notes

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Lucy

Author: Lucy

Lucy has been a passionate Maths teacher for over 12 years, teaching maths across the UK and abroad helping to engage, interest and develop confidence in the subject at all levels. Working as a Head of Department and then Director of Maths, Lucy has advised schools and academy trusts in both Scotland and the East Midlands, where her role was to support and coach teachers to improve Maths teaching for all. Lucy has created revision content for a variety of domestic and international Exam Boards including Edexcel, AQA, OCR, CIE and IB.