What this topic covers
Algebra has 4 subtopics:
- Notation, vocabulary and manipulation
- Graphs
- Solving equations and inequalities
- Sequences
GCSE AQA Higher Maths
Algebra – GCSE AQA Higher Maths revision notes
Revise Algebra for GCSE AQA Higher Maths, including Notation, vocabulary and manipulation, Graphs, Solving equations and inequalities, and Sequences.
Algebra covers Notation, vocabulary and manipulation, Graphs, Solving equations and inequalities, and Sequences in GCSE AQA Higher Maths. 39 lessons in 4 subtopics.
39
Lessons
4
Subtopics
Algebra lessons by subtopic
39 lessons, grouped by subtopic.
Notation, vocabulary and manipulation
- Substituting Values into Formulae and Expressions
- Understanding Algebraic Language
- Expanding and Factorising Expressions
- Collecting Like Terms and Basic Algebraic Operations
- Advanced Algebraic Manipulation
- Substituting into and Interpreting Formulae
- Changing the Subject of a Formula
- Equations vs Identities and Algebraic Arguments
- Algebraic Proofs
- Interpreting Expressions as Functions
Graphs
- Working with Coordinates in All Four Quadrants
- Plotting Straight-Line Graphs
- Gradients and Intercepts of Linear Functions
- Turning Points and Symmetry of Quadratics
- Quadratic Graphs - Roots and Intercepts
- Recognising and Sketching Linear and Quadratic Graphs
- Straight-Line Graph Skills and Gradients
- Transformations of Linear and Quadratic Graphs
- Interpreting Real-World Graphs
- Interpreting Gradients and Areas Under Graphs
- Circle Equations and Properties
- Tangents to Circles
Solving equations and inequalities
- Solving Linear Equations Algebraically
- Finding Approximate Solutions Using Graphs
- Completing the Square and the Quadratic Formula
- Solving Quadratic Equations by Factorising
- Solving simultaneous equations algebraically
- Graphical solutions to simultaneous equations
- Iteration and Numerical Solution Methods
- Numerical Solutions Using Iteration
- Solving Linear Equations with Brackets and Unknowns on Both Sides
- Creating Algebraic Expressions from Situations
- Solving Equations from Real Problems
- Representing Solution Sets
- Advanced Inequalities
- Solving Linear Inequalities
Sequences
More in this course
Go back to the full GCSE AQA Higher Maths topic list, or practise this topic with past-paper questions.
Frequently asked questions
Is this the right Algebra page for my course?
These notes are for GCSE AQA Higher Maths. If you are on a different exam board or tier, choose your course from the Maths page instead, because the content is not always the same.
What should I do after reading the lessons?
Test yourself without the notes open, then try past-paper questions on the same topic. The questions you get wrong tell you which lesson to go back to.