What you'll learn

Coordinate geometry
Quadratics
Equations and inequalities
Graphs
Trigonometry
Logarithms

Course content

9 sections • 65 lectures • 6h 7m total length

Introduction1:12

Coordinate Geometry Introduction0:47
Parallel lines4:07
In this video we learn how to find the equation of a parallel line.
Parallel lines quiz
Perpendicular lines6:45
In this video we look at how to find the equation of a line that is perpendicular to another.
Perpendicular lines quiz
Perpendicular bisectors7:27
In this video we look at how to find the equation of a perpendicular bisector given two points.
Perpendicular bisector quiz
Distance between points5:07
In this video we learn how to calculate the distance between two points, given their coordinates.
Distance between points quiz
Area problems7:42
In this video we look at how to find areas of regions created by straight lines.
Area problems quiz
Modelling with straight lines part 17:55
In this video we look at how to use straight lines to model situations in the real world.
Modelling with straight lines part 24:38
In this video we look at some further examples of how to model the real world using linear models.
Modelling with straight lines quiz

Quadratics Introduction0:41
Solving quadratics using factorising part 13:32
In this video we learn how to factorise and solve quadratic equations when the leading coefficient is 1.
Solving quadratics using factorising quiz 1
Solving quadratics using factorising part 25:09
In this video we learn how to factorise and solve quadratic equations when the leading coefficient is not 1.
Solving quadratics using factorising quiz 2
Solving quadratics using the quadratic formula3:06
In this video we learn how to solve a quadratic equation using the quadratic formula.
Solving quadratics using the quadratic formula quiz
Solving quadratics by completing the square part 14:49
In this video we learn how to solve quadratics using completing the square when the leading coefficient is 1.
Solving quadratics by completing the square quiz 1
Solving quadratics by completing the square part 23:31
In this video we learn how to solve quadratics using completing the square when the leading coefficient is not 1.
Solving quadratics by completing the square quiz 2
Proof of the quadratic formula5:15
In this video we look at a proof of the quadratic formula!
Turning points of quadratics15:14
In this video we look at how to find turning points of quadratics.
Turning points of quadratics quiz
Modelling with quadratics7:14
In this video we look at how to use quadratic equations to model the real world.
Modelling with quadratics quiz
Disguised quadratics part 16:57
In this video we look at how to solve equations that don't at first look like quadratics, but which in fact are!
Disguised quadratics part 27:10
In this video we look at more examples of disguised quadratics.
Disguised quadratics quiz 1
Disguised quadratics part 36:43
In this video we look at some quite advanced examples of disguised quadratics.
Disguised quadratics quiz 2
The discriminant part 16:23
In this video we introduce the concept of the discriminant and how to use it.
The discriminant part 23:15
In this video we look at how to form and solve equations arising from the discriminant.
The discriminant part 35:15
In this video we look at some advanced applications of the discriminant.
The discriminant quiz

Equations and Inequalities Introduction0:41
Linear Simultaneous Equations part 16:45
In this video I go through two different methods for solving linear simultaneous equations, and discuss the pros and cons of each for A-level maths.
Linear Simultaneous Equations quiz 1
Linear Simultaneous Equations part 28:42
In this video I show how linear simultaneous equations can be used to solve much more sophisticated problems.
Linear simultaneous equations quiz 2
Quadratic simultaneous equations part 17:47
In this video I explain how to solve quadratic simultaneous equations and represent these graphically.
Quadratic simultaneous equations quiz 1
Quadratic simultaneous equations part 28:47
In this video I show how intersections of lines and circles lead to quadratic simultaneous equations.
Quadratic simultaneous equations quiz 2
Quadratic inequalities part 16:59
In this video I show how to solve a quadratic inequality.
Quadratic inequalities quiz 1
Quadratic inequalities part 24:55
In this video I go through an example of a slightly more challenging quadratic inequality question.
Quadratic inequalities quiz 2
Applications of quadratic inequalities part 18:23
Applications of quadratic inequalities quiz 1
Applications of quadratic inequalities part 210:51
In this video I go through a much more challenging example linking quadratic inequalities with discriminants.
Applications of quadratic inequalities quiz 2

Graphs Introduction0:32
Cubic graphs part 18:31
Cubic graphs part 27:11
Cubic graphs quiz 1
Cubic graphs part 33:16
Cubic graphs quiz 2
Quartic graphs part 14:19
Quartic graphs part 24:18
Quartic graphs quiz
Reciprocal graphs7:14
Reciprocal graphs quiz
Translations part 12:39
Translations part 24:08
Translations quiz
Enlargements part 13:54
Enlargements part 24:40
Enlargements quiz
Reflections4:20
Reflections quiz
The "prison" method7:52
Prison method quiz
Bonus video: graphs and music7:00

Trigonometry Introduction0:42
SOHCAHTOA5:47
SOHCAHTOA quiz
The sine rule7:09
Sine rule quiz
The cosine rule6:28
Cosine rule quiz
Areas of triangles5:28
Areas of triangles quiz
Proof of the sine rule6:06
In this video I go through a proof of the sine rule. This is completely optional. Feel free to skip ahead a couple of lectures if you just want to focus on techniques.
Proof of the cosine rule9:03
In this video I go through a proof of the cosine rule. This is also completely optional. Feel free to skip to the next lecture if you just want to focus on techniques.
The sine graph12:28
In this video I show you what the sine graph looks like, and how to use it to solve more complex trigonometry problems.
Sine graph quiz
The cosine graph7:13
In this video I show you what the cosine graph looks like, and, like in the previous lecture, relate this to complex trigonometry problems.
Cosine graph quiz
The tan graph6:40
In this video I show you what the ran graph looks like, and discuss how it can be used.
Tan graph quiz
Trigonometric equations5:13
In this video we bring it all together and look at how to solve a trigonometric equation.
Trigonometric equation quiz

Introduction to logarithms0:32
What are logarithms?8:28
In this video I introduce the concept of the logarithm.
Logs quiz
Using logs to solve GCSE questions5:00
In this video I show how you can use logarithms to solve compound interest problems.
Using logarithms to solve advanced equations.5:52
In this video we look at how to use logarithms to solve some disguised quadratic problems involving exponentials.

Requirements

A good understanding of GCSE maths content
A pen and some paper!

Description

This is a course for anyone thinking of doing A-Level maths. With 60+ videos and 40+ quizzes, we will go through all the GCSE topics that are needed most at A-Level, taking each a little further than you will have gone before and stepping into A-Level territory along the way.

I created this course especially for all the students who had their GCSE's cancelled this year, as you guys missed out on so much education and might be feeling under-prepared for your A-Levels. This is the course that will get you where you need to be to begin the A-Level course with confidence.

The topics covered are:

Straight lines

Quadratics

Equations and Inequalities

Graphs

Trigonometry

Calculator Use

Logarithms

Along with the 60+ video lectures and 40+ quizzes to check your understanding, there is also a section on calculator use and a chapter at the end where we explore logarithms - a brand new topic from the A-level.

Who this course is for:

Students planning to take A-Level maths
Students considering taking A-Level maths
GCSE students looking for a challenge
People interested in learning maths

What you'll learn

Explore related topics

Course content

Introduction1 lecture • 1min

How to use this course1 lecture • 1min

Coordinate Geometry8 lectures • 44min

Quadratics15 lectures • 1hr 24min

Equations and Inequalities9 lectures • 1hr 4min

Graphs14 lectures • 1hr 10min

Trigonometry11 lectures • 1hr 12min

Calculator Use2 lectures • 10min

A-Level Topic: Logarithms4 lectures • 20min

Requirements

Description

Who this course is for: