GCSE Maths Revision 2023 (Algebra)

GCSE Maths Revision for Grades 7-9 Algebra Topics is for anyone studying GCSE or IGCSE Maths:

Is your child looking for a GCSE in Maths?

Are they entered for the International GCSE Maths examination?

Want them to revise and master each algebra topic in preparation for your GCSE / IGCSE examinations this summer?

Are you an adult resitting your GCSE to access higher education?

Want to cover the concepts that will push their grade up to a 7, 8, or 9?

This course covers all the number content in GCSE Maths.

The system is suitable for all major exam boards, including Edexcel, OCR, and AQA.

The main sections of the course are:

– Algebraic Manipulation and Formulae- we learn how to expand triple brackets and arrange a variety of formulae to change the subject, including when the issue appears twice.

– Factorising Quadratics – we learn how to factorize quadratic expressions into two brackets, including using the difference of two squares and first taking an initial factor out.

– Solving Quadratic Equations – we learn how to solve a quadratic equation using factorizing and the quadratic formula.

– Completing the Square – we learn to complete the square method and link this to solving quadratic equations.

– Algebraic Fractions – we learn to work with algebraic fractions by multiplying, dividing, adding and subtracting, and learning to simplify using factorization.

– Solving Equations involving Fractions – we learn to solve linear and quadratic equations that initially present fractions.

– Simultaneous Equations – we focus on solving quadratic and linear equations simultaneously.

– Equations of Straight Lines – we learn to find a line’s gradient and a straight line’s equation using a diagram and separately 2 coordinates. We also discuss problems involving parallel gradients and perpendicular gradients.

– Arithmetic Sequences and Series – we recap how to find the nth term of an arithmetic sequence and learn to find the sum of a finite arithmetic series using the sum formula.

– Calculus (Differentiation) – we learn the steps to differentiate and create the gradient equation for any polynomial. We also discuss problems involving tangents and normals to curves, stationary and turning points, and the application of calculus to kinematics.

– Functions – we learn how to use inputs and outputs with various functions. We also know how to find the inverse of a process and how to create composite parts.

– Algebraic Proof – we learn to work with algebraic expressions to prove certain statements and identities.

– Transformations of Graphs – we learn to recognize graphs of quadratics, cubics, reciprocals, exponentials, circles, and trigonometric functions. We know how translation and stretching transformation standard functions and their graphs.

What do you get in this course:

Lesson Videos:  Watch as I answer questions about every type of maths problem you can encounter in class. We start with the basics and maybe a recap of prior knowledge and gradually increase the difficulty of each issue so you build your confidence to attempt any question.

‘Test Your Understandings’:  After I have run through an example, I allow you to assess your understanding by attempting one or two very similar questions. This way, you learn by applying the knowledge immediately.

Embedded Worksheets:  In addition to the Test your Understanding questions, I have included exercises of questions within each video to give you even more practice at solving each type of problem.

Extra Exam Examples:  I’ve included a selection of recent exam questions to further discuss with you so that you become comfortable with the style of questioning and level of difficulty required.

Additional Low Stakes Quiz:  At the end of each section, you can take a short multiple-choice quiz to test your overall understanding of the concepts discussed. These are significant indicators of whether you completely understand a topic or need to revisit a lecture and practice more questions to master a concept.

Extra Exam Questions Booklet:  Want even more practice? When you have finished a section, you can review the entire topic by working through a selection of exam questions complete with answers.