Learning Outcomes | Algebra in Mathematics

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Module 1: Expressions and Formulae

Module 1: Expressions and Formulae

Expressions and Formulae - Learning Outcomes

Factorising Quadratics

Factorising - Difference of Two Squares

Expanding Brackets (Grid Method)

Expanding Brackets (FOIL method)

Expanding Any Two Brackets

Rearranging Simple Formulae

Rearranging Simple Formulae 2 Steps

Rearranging Formulae with Squares and Square Roots

Rearranging Formulae New Subject Appearing Twice

Simplifying Surds

Further Calculations with Surds

Completing The Square

General Completing The Square

Binomial Expansion

Expressions and Formulae- Lesson Summary

Module 2: Solving Equations - Part 1

Solving Equations - Part 1 - Learning Outcomes

Equations with Linear Functions in The Denominator

Quadratic Equations Using The Formula

Simultaneous Equations Both Negative Signs

Quadratic Equations Non Unitary x Squared

Quadratic Equations Both Brackets The Same Sign

Quadratic Equations Brackets With Different Signs

Quadratic Equations That Have to be Rearranged

Solving Simultaneous Equations Graphically

Simultaneous Equations Negative and Positive Signs

Simultaneous Equations Both Positive

Hidden Quadratics

Use of The Discriminant

Equations With Indices

Solving Equations - Part 1 - Lesson Summary

Module 3: Solving Equations - Part 2

Solving Equations - Part 2 - Learning Outcomes

Logarithmic Equations

Solving Exponential Equations

From Roots to Functions

Non Linear Simultaneous Equations

Factor Theorem

The Remainder Theorem

General Remainder and Factor Theorem

Finding Roots of Cubic Equation

Modulus Equations

Using Graphs to Solve Modulus Equations

Solving Equations - Part 2 - Lesson Summary

Module 4: Inequalities

Inequalities - Learning Outcomes

Finding Inequalities from Shaded Regions

Solving Linear Inequalities with Fractions

Solving Quadratic Inequalities – Method 1

Solving Quadratic Inequalities – Method 3

Non-Unitary x^2 - Trial and Error Method

Solving Quadratic Inequalities – Method 2

Non-Unitary x^2 - Algebra Method

Non-unitary x^2 - Graphical Method

Solving Quadratic Inequalities - Special Cases

Rational Inequalities

Modulus Equations

Using Graphs to Solve Modulus Equations

Modulus Inequalities

Modulus Function On a Graph

Graphical Solution of Modulus Inequalities

Inequalities - Lesson Summary

Module 5: Complex Numbers

Complex Numbers - Learning Outcomes

Manipulating Complex Numbers and The Complex Conjugate

The Argand Diagram and Modulus

The Meaning of i

Patterns with Imaginary Numbers

Writing Complex Numbers in Polar Form

Multiplying and Dividing in Polar Form (Proof)

Multiplying and Dividing in Polar Form (Example)

Proof of De Moivre’s Theorem

Complex Numbers When Solving Quadratic Equations

Cubic Equations With Complex Roots

Finding The Cube Roots of 8

Complex Numbers - Lesson Summary

Course assessment

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