Algebra

Algebra is a maths topic that people tend to either love or hate, a little bit like maths in general. Algebra in younger years starts off reasonably simple with a missing number being represented by a letter. This is quickly built on in secondary school where more complex equations are looked at and algebra is used to help solve all sorts of problems. Understanding algebra is not only key for maths but it also feeds into the sciences where substitution and rearrangement of equations are commonly used, both of which require algebra skills. Therefore algebra is a critical concept to get right from a young age. The following list of algebra topics and subtopics will be useful

KS3 Algebra

You can see a full list of key stage three algebra resources and revision materials below. This is where algebra develops from equations with one missing letter to substitution, rearrangement, multiplying our brackets, factorising and much more. Algebra is a vast topic that spreads across many of the subtopics at KS3 and beyond. It is vital that students grasp the fundamentals at this level so that they have the right foundations to build on as they progress through secondary school. The following list of algebra topics link to algebra worksheets, explanations and practice questions to help students to revise and teachers to prepare lessons.

– Multiplying Out Single and Double Brackets  

– Factorising 

– Solving Equations 

– Rearranging Formulas 

– Sequences and Nth Term (Linear) 

– Simultaneous Equations 

– y=mx+c 

– Speed Distance Time: This is important for KS3 Science as well. 

– Density Mass Volume: This is important for KS3 Science as well. 

– Pressure Force Area: This is also important for KS3 Science as well. 

– Trigonometry 

GCSE Algebra

At GCSE Level you have to know everything algebra related from KS3 and then some more. Many of the topics that don’t appear to be algebra related often contain algebra or require the algebra skills. This has become even more prevalent in the new GCSE maths exams where paper 3 is the problem solving paper that contains all sorts of questions that require algebra knowledge. The following algebra revision list has many links to worksheets and algebra practice questions that will help you to revise. If you are a teacher there are of course many algebra resources for you to use as well.

– Algebraic Fractions 

– Multiplying Out Single and Double Brackets  

– Multiplying Out Triple Brackets

– Factorising Foundation level 

– Solving Equations Foundation level 

– Rearranging Formulas 

– Linear Sequences and the Nth Term 

– Simultaneous Equations 

– y=mx+c 

– Speed Distance Time: This is important for KS3 Science as well. 

– Density Mass Volume: This is important for KS3 Science as well. 

– Pressure Force Area: This is also important for KS3 Science as well. 

– Trigonometry 

– 3D Pythagoras and Trigonometry 

– Completing the Square 

– Factorising Harder Quadratics 

– Factorising Quadratics 

–  Iterative Methods 

– Quadratic Sequences 

– Quadratic Inequalities 

– Pythagoras

– Simultaneous Equations 

– Sine and Cosine Rule 

– Solving Equations (Foundation)

– Solving Quadratics By Factorisation 

– The Quadratic Formula 

– Trigonometry 

– Vectors 

– y=mx+c 

For a comprehensive list of the GCSE maths curriculum which covers all areas of each exam board then visit our dedicated GCSE maths revision page.

https://mathsmadeeasy.co.uk/gcse-maths-revision/

A Level Algebra

There are so many algebra topics at A Level, just about every topic requires an in depth knowledge of all the skills learnt at GCSE and more. From differentiation to complex trigonometry there is a lot to learn. The following link will take you to our dedicated A Level maths page where you will find a list of A Level maths topics, all of which involve algebra.

– A Level maths revision