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• Proofs & Identities
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• Theorem Proofs
• Geometry-2D
• Coordinate Geometry: Line
• Coordinate Geometry: Circle
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• Theorems
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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

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