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A LevelMaths: Pure 1CIERevision Notes2. Coordinate Geometry2.1 Equation of a Straight Line2.1.4 Modelling with Straight Lines

Modelling with Straight Lines (CIE A Level Maths: Pure 1)

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Modelling with Straight Lines

What is modelling with straight lines?

  • Modelling means applying the mathematics to a real-life situation
  • The model is used to find or predict future values
  • Models will often need refining to improve their accuracy

 Modelling with Straight Lines Notes Diagram 1, A Level & AS Level Pure Maths Revision Notes 

How do I work with straight line models?

  • Turn the words from the question into mathematical equations
  • In y = mx + c constants “m” and “c” will have a meaning
    • gradient “m” will be the rate of change
    • eg extension in a spring per 1 kg of mass added
    • y-axis intercept “c” will be the initial value
    • eg resting length of a spring

Modelling with Straight Lines Notes Diagram 2, A Level & AS Level Pure Maths Revision Notes 

  • The skills needed are covered in the other pages of the section Equation of a Straight Line

Worked example

Modelling with Straight Lines Example Diagram, A Level & AS Level Pure Maths Revision Notes

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    Paul

    Author: Paul

    Expertise: Maths

    Paul has taught mathematics for 20 years and has been an examiner for Edexcel for over a decade. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. Paul is a passionate fan of clear and colourful notes with fascinating diagrams – one of the many reasons he is excited to be a member of the SME team.