This course aims to help learners master algebra from beginner to advanced level. The learning outcomes include simplifying expressions, factorizing algebraic expressions, solving equations, working with algebraic fractions, understanding indices and graph transformations, among others. The course teaches skills such as factorizing quadratics, finding equations of lines, solving quadratic inequalities, and using different methods to solve equations. The teaching method includes video lectures, practice problems, and revision sessions. The course is intended for beginners looking to build a strong foundation in algebra, as well as intermediate learners seeking to enhance their algebraic skills.
Overview
Syllabus
Simplifying Expressions.
Factorising Algebraic Expressions ( factoring / factorizing ).
Algebra | expanding brackets.
Substituting into an Expression.
Solving Equations - Balancing & Inverse Operations.
Solving Equations - Brackets and Unknowns on both sides.
Algebraic fractions.
Equations with Fractions | GCSE Mathematics.
The Difference of Two Squares - GCSE mathematics.
Factorising Quadratics and Solving Quadratic Equations.
Simultaneous Equations with Quadratics.
The three index laws you need to know.
Indices | can you find the area of these shapes?.
Finding the equation of a line given gradient and a point.
Graph Transformations - GCSE Mathematics Higher Revision.
Composite and Inverse Functions.
Quadratic Inequalities - GCSE higher revision.
Different Way of Solving Quadratic Equations - The "Dr. Po-Shen Loh Method".
Iterations | GCSE (9-1) Maths Higher.
A cubic with two roots.
Algebraic Proof question - GCSE higher.
Revision by topic: Algebra | GCSE (9-1) Higher Exam revision (edexcel) past paper questions.
Straight line graphs - Grade 9 problem solving | GCSE mathematics.
Can you solve this? A Surprisingly Difficult Equation with a Golden solution.
A special case of Fermat's Last Theorem, where n=3.
A Strange Fact About Cubes & Squares.
Taught by
Maths Explained
