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Second Level Resources

This page contains links to online resources, and the topics selected are based around frequently occurring queries that students have at our free 2nd level drop-in.

The material is listed alphabetically, and the headings used (Algebra, Complex Numbers, Logarithms, Percent-Decimal-Friaction, Sequences and Series, Trigonometry, Volume) are the typical topic headings used in second level mathematics in Ireland.

This page was established in January 2018, and further material will be added to on an ongoing basis subject to student feedback. To assist us in both reviewing existing materials and adding further relevant materials, we ask that all visitors to this page, who use the resources, fill out our very brief anonymous survey.

Algebra

Algebraic Fractions

Videos:

Handouts:

Inequalities

Videos:

Handouts:

Quadratic Equations

Videos:

Handouts:

Rules of Indices

Videos:

Handouts

Simultaneous Equations

Videos:

Handouts

Complex Numbers (Leaving Certificate)

Videos:

This playlist contains videos covering a range of topics including:

  • What are complex numbers?
  • Modulus of a complex number
  • Complex conjugates.
  • Addition, subtraction, multiplication and division of complex numbers.
  • Argand diagrams and trasnformations
  • Imaginary Roots – Quadratic equations with complex solutions.
  • Polar form
  • DeMoivre’s theorem.
  • Exam Questions OL/HL.

Handouts:

Logarithms (Leaving Certificate)

Videos:

Handouts:

Percent to Decimal to Fraction

Video:

    Sequences and Series

    Videos:

    This playlist contains videos covering a range of topics including:

    • Arithmetic Sequences
    • Arithmetic Sequence Exam Questions OL/HL.
    • Geometric Series
    • Geometric Series – Finding the nth term.
    • Proving a sequence is geometric.
    • Geometric Series Exam Questions OL/HL.

    Trigonometry

    Videos:

    This playlist contains videos covering a range of topics including:

    • Sine/Cosine/Tangent ratios.
    • How to use Sine/Cosine Rule.
    • Proof of Sine/Cosine Rule.
    • Graphing Trigonometric Functions.
    • Exam Papers (OL/HL) – Solutions explained.

    Handouts:

    Volume

    Interactive Webpages:

     

       

         

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