
Focused Algebra

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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.

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

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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.

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

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Algebra
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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

Fractions, Decimals & Percentages
Understand the relationship between fractions, decimals & percentages.

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

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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

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

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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…

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

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Algebra
P.E.M.D.A.S. Order of Operations
Understanding hole Numbers and Mathematical Operations is that absolute foundation of mathematics.

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

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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.

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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.