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

The material is listed alphabetically, and the headings used (**Algebra, Complex Numbers, Logarithms, Percent-Decimal-Friaction, Probability, 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**.

**Algebraic Fractions**

Videos:

Handouts:

**Inequalities**

Videos:

Handouts:

**Quadratic Equations**

Videos:

- Solving Quadratic Equations by Factoring – Basic
- Solving Quadratic Equations by Factoring – Another Example
- Solving Quadratic Equations using the Quadratic Root formula 1
- Solving Quadratic Equations using the Quadratic Root formula 2
- Solving Quadratic Equations using the Quadratic Root formula 3

Handouts:

- Solving Quadratic Equations by Factorising
- Solving Quadratic Equations using the Quadratic Root Formula

**Rules of Indices**

Videos:

- What are Indices? (Basic Exponent Properties)
- Solving Indices (Intro to Evaluating Exponents)
- Using the Rules of Indices (Applying Rules of Exponents)
- Negative Indices (Negative Exponents)
- Evaluating Indices that are Fractions (Fractional Exponents)

Handouts

**Simultaneous Equations**

Videos:

- What are Simultaneous Equations used for? (Theory and Examples)
- Solving Simultaneous Linear Equations
- Solving Simultaneous Equations - One Llinear and One Non-Linear

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:

- Introduction
- Properties of Logarithms
- Change of Base for Logarithms
- Examples 1
- Examples 2
- Examples 3

Handouts:

Video:

**Percent to Decimal to Fraction**

Video:

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.

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:

Interactive Webpages: