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These are the Theorems you must be familiar with. You DO NOT need to know how to prove these theorems.

Proof – Angle at Centre of Circle is twice Angle at Circumference

Prove that the Angle at the centre of a circle, formed by an arc is twice the angle formed at the circumference of the circle, standing on the same arc.

Proof – In a Parallelogram, Opposite Sides and Opposite Angles are Equal

Learn the steps required to Proove that, In a Parallelogram, Opposite Sides are Equal in…

Theorem Vocabulary

A short video containing the essential vocabulary you need, to write and understand Geometry Theorem Proofs.
  • Algebra
  • Focused Algebra

Eulers Number

A short explanation of Euler's Number, how it's calculated and where you are likely to use it.
  • Algebra

Complex Numbers: Part 2

Starting from how to write a Complex Number in Polar Form, you will work through a logical journey resulting in you using the De Moivre's Theorem to prove both Trignometric Identities and to solve and to find the roots of equations. 
  • Algebra
  • Focused Algebra

Imaginary Numbers Explained

Understanding what an Imaginary Number is, is essential before 1: diving into Complex Numbers, as…
  • Algebra
  • Focused Algebra

Modelling Algebraic Formula

Three Algebraic Formula students are expected to know and use regularly can be beautifully modelled.…

Proof – The Exterior Angle Equals Sum of Interior Angles in Triangle

This proof shows the steps to prove that: The Exterior Angle of any triangle equals…

Proof – Angels in Triangle add to 180 Degrees

The Steps required to prove that: The Three Angles in a Triangle always add to…

Geometry Contructions

Step by step videos of Geometry Constructions for Irish Junior Certificate Math Exam
  • Algebra
  • Focused Algebra

Proof – Pythagoras

The Theorem of Pythagoras

Fractions, Decimals & Percentages

Understand the relationship between fractions, decimals & percentages.
  • Algebra

Inequalities

Values are not always equal or only equal.  In mathematics, we represent this relationship with inequalities.
  • Algebra

INDICES, SURDS & RADICALS

Give yourself the best possible advantage for the study of Algebra by being 100% comfortable with Indices, Surds and Radical Numbers.

Whole Numbers & Operations

Understanding hole Numbers and Mathematical Operations is that absolute foundation of mathematics.

ALGEBRA

  • Algebra
  • Focused Algebra

Eulers Number

A short explanation of Euler's Number, how it's calculated and where you are likely to use it.
  • Algebra

Complex Numbers: Part 2

Starting from how to write a Complex Number in Polar Form, you will work through a logical journey resulting in you using the De Moivre's Theorem to prove both Trignometric Identities and to solve and to find the roots of equations. 
  • Algebra
  • Focused Algebra

Imaginary Numbers Explained

Understanding what an Imaginary Number is, is essential before 1: diving into Complex Numbers, as…
  • Algebra
  • Focused Algebra

Modelling Algebraic Formula

Three Algebraic Formula students are expected to know and use regularly can be beautifully modelled.…
  • Algebra
  • Focused Algebra

Proof – Pythagoras

The Theorem of Pythagoras
  • Algebra

P.E.M.D.A.S. Order of Operations

Understanding hole Numbers and Mathematical Operations is that absolute foundation of mathematics.
  • Algebra

Inequalities

Values are not always equal or only equal.  In mathematics, we represent this relationship with inequalities.
  • Algebra

Special Numbers You Must Know

Understanding Prime and Composite numbers, Factors, Prime Factors, Perfect Squares and Perfect Cubes will set an incredibly strong foundation with mathematics for Algebra and beyond.
  • Algebra

INDICES, SURDS & RADICALS

Give yourself the best possible advantage for the study of Algebra by being 100% comfortable with Indices, Surds and Radical Numbers.