Gcse Maths Revision 2023 (Algebra)

Learn everything of GCSE / IGCSE Algebra topics to attain a Grade 9 including 500+ practice questions.

What you'll learn

Functions

Calculus (Differentiation

Arithmetic Sequences and Series

Algebraic Proof

Transformations of Graphs

Equations of Straight Lines

Simultaneous Equations

Solving Equations Involving Fractions

Solving Quadratic Equations

Completing the Square

Algebraic Fractions

Factorising Quadratics

Changing the Subject of an Equation

Expanding Triple Brackets

Requirements

A good knowledge of GCSE / IGCSE Foundation and Grade 6 topics.

A notebook to attempt the questions and worksheets included and to take notes if necessary.

A scientific calculator - recommended Casio fx-83GT or fx-83GT.

Description

GCSE Maths Revision for Grades 7-9 Algebra Topics is for anyone studying GCSE or IGCSE Maths:Is your child studying for their GCSE in Maths?Want them revise and master each algebra topic in preparation for your GCSE / IGCSE examinations this summer?Are you an adult resitting your GCSE in order 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 course 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 in order to change the subject including when the subject appears twice.- Factorising Quadratics - we learn how to factorise quadratic expressions into two brackets including using the difference of two squares and by first taking an initial factor out.- Solving Quadratic Equations - we learn how to solve a quadratic equation by using the methods of factorising and the quadratic formula.- Completing the Square - we learn 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 algebraic fractions as well as learning to simplify using factorisation.- Solving Equations involving Fractions - we learn to solve both linear equations and quadratic equations that initially present fractions.- Simultaneous Equations - we focus on solving a quadratic equation and linear equation simultaneously.- Equations of Straight Lines - we learn to find the gradient of a line and the equation of a straight line 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 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 learn how to find the inverse of a function and how to create composite functions.- Algebraic Proof - we learn to work with algebraic expressions to prove certain statements and identities.- Transformations of Graphs - we learn to recognise graphs of quadratics, cubics, reciprocals, exponentials, circles and trigonometric functions. We learn how translation and stretching transformation standard functions and their graphs.What do you get in this course:Lesson Videos:  Watch as I answer questions of 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 problem so you build your confidence to attempt any question.'Test Your Understandings':  After I have run through an example I give you the opportunity 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 a great indicators as to whether you completely understand a topic or if you need to revisit a lecture and to practice more questions in order 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.

Overview

Section 1: Getting Started

Lecture 1 Getting Started

Section 2: Algebraic Manipulation and Formulae

Lecture 2 Expanding Triple Brackets

Lecture 3 Changing the Subject 1

Lecture 4 Changing the Subject 2

Lecture 5 Changing the Subject 3

Lecture 6 The Subject Appearing Twice

Lecture 7 Additional material

Lecture 8 Exam Questions

Section 3: Quadratics

Lecture 9 Factorising Quadratics 1

Lecture 10 Factorising Quadratics 2

Lecture 11 Difference of Two Squares

Lecture 12 Additional Examples and Puzzle

Lecture 13 Solving Quadratic Equations by factorising (part 1)

Lecture 14 Solving Quadratic Equations by factorising (part 2)

Lecture 15 Solving Quadratic Equations by using The Quadratic Formula

Lecture 16 Exam Examples

Lecture 17 Exam Questions

Section 4: Completing the Square

Lecture 18 Completing the Square 1a

Lecture 19 Completing the Square 1b

Lecture 20 Solving Quadratic Equations by Completing the Square

Lecture 21 Exam Examples

Lecture 22 Exam Questions

Section 5: Algebraic Fractions

Lecture 23 Basic simplification

Lecture 24 Multiplying and Dividing

Lecture 25 Adding and Subtracting

Lecture 26 Simplification using factorisation

Lecture 27 Harder problems

Lecture 28 Exam Questions

Section 6: Solving Equations involving Fractions

Lecture 29 Equations involving Fractions

Lecture 30 Linear Equations

Lecture 31 Quadratic Equations

Lecture 32 Exam Questions

Section 7: Simultaneous Equations

Lecture 33 Introduction to Solving Equations Simultaneously

Lecture 34 Simultaneous Equations 1 (Gaussian Elimination)

Lecture 35 Simultaneous Equations 2 (Gaussian Elimination)

Lecture 36 One quadratic equation and one linear equation

Lecture 37 Exam Questions

Section 8: Equations of Straight Lines

Lecture 38 Finding the equation of a straight line

Lecture 39 Parallel lines

Lecture 40 Using two coordinates

Lecture 41 Additional material

Lecture 42 Perpendicular gradients and lines

Lecture 43 Exam Examples

Lecture 44 Exam Questions

Section 9: Arithmetic Sequences and Series

Lecture 45 Arithmetic Sequences

Lecture 46 Arithmetic Series

Lecture 47 Exam Examples

Lecture 48 Exam Questions

Section 10: Functions

Lecture 49 Inputs

Lecture 50 Outputs

Lecture 51 Inverse Functions

Lecture 52 Composite Functions

Lecture 53 Domain and Range

Lecture 54 Exam Examples

Lecture 55 Exam Questions

Section 11: Proof

Lecture 56 Algebraic Proof

Lecture 57 Identities

Lecture 58 Exam Questions

Section 12: Graphs and Transformations

Lecture 59 Recognising types of graph

Lecture 60 Transformations of Graphs - Skill #1

Lecture 61 Transformations of Graphs - Skills #2&3

Lecture 62 Exam Questions

Section 13: Calculus / Differentiation (IGCSE syllabus only)

Lecture 63 Differentiating polynomials

Lecture 64 Finding equations of Tangents and Normals

Lecture 65 Stationary Points / Turning Points

Lecture 66 Application to Kinematics

Lecture 67 Exam Examples

Lecture 68 Exam Questions

Parents or guardians of children studying Maths at GCSE / IGCSE level,Teachers looking to supplement their classes' learning,Anyone undertaking a GCSE / IGCSE and working towards attaining a grade 7, 8 or 9,Anyone looking to undertake an A-level / O-level in Mathematics,Anyone requiring a high grade in GCSE Maths in order to enter College or University