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Maths HL Paper 1 Proofs

  • 24-04-2016 2:58pm
    #1
    Leavingcert16
    Registered Users, Registered Users 2 Posts: 56 ✭✭


    Hey just wondering what are the proofs on paper one


Comments

  • #2
    skippy1977
    Registered Users, Registered Users 2 Posts: 284 ✭✭skippy1977


    I'm not sure I'd call these all proofs exactly but certainly things I would advise learning off...either made reference to in syllabus or been asked in the past.

    1. You need to know a 'Proof by Contradiction' - Prove that root 2 is not rational.
    2. The constructions of root 2 and root 3 (asked in 2011)
    3. Use proof by induction to derive the formula for the Sum of a Geometric Series (asked in 2012)
    4. Use proof by induction to prove De Moivre's theorem (there are also a couple of special Trig Identies that are proven using De Moivre)
    5. Differentiation by 1st Principles (Linear and Quadratic only) (asked in 2014)
    6. Need to be able to derive the formula for a mortgage repayment using geometric series.
    7. Derive the formula for the sum to infinity of geometric series using limits.

    In theory though anything can be asked on either paper. For example definitions for discrete and continuous were asked in 2012 though most people would associate them with Statistics.

    Sorry it's not a bit clearer but with Project Maths you can expect surprises and you could be asked to prove something you haven't learned if the question is scaffolded correctly...


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