Below you can view free videos about A-level mathematics organised by the chapters in the current A-level textbooks. The content is very similar for all exam boards for single maths A-level.

Some of the videos from the earlier chapters may be labelled as GCSE/IGCSE or Add Maths as there is an overlap between these courses.

## Chapter 1 Problem solving

## Chapter 2 Surds and Indices

## Chapter 3 Quadratic Functions

0. GCSE Quadratics topics

1. The Discriminant

2. Completing the square (monic)

3. Completing the square (non-monic)

4. Completing the square (general)

5. Advanced quadratics (inc proof of the formula)

6. Exam questions by topic – quadratic functions part 1

7. Exam questions by topic – quadratic functions part 2

8. Exam questions by topic – modelling with quadratics

You can also buy a copy of the textbook for your syllabus below (OCR A, AQA, MEI):

## Chapter 4 Equations and Inequalities

## Chapter 5 Coordinate Geometry

1. Midpoint of two points

2. Dividing points in a ratio

3. Distance between two points

4. Equations of straight lines

5. Parallel and perpendicular lines

6. Perpendicular bisectors (two methods)

7. Equation of a circle

8. Finding the centre and radius

9. Exam questions by topic – straight lines

10. Exam questions by topic – circles part 1

11. Exam questions by topic – circles part 2

## Chapter 6 Trigonometry

0. GCSE Trigonometry

1. Graphs of sin cos and tan using the unit circle

2. Proving two useful trig identities

3. Using identities to solve equations

4a. Exam questions – trig identities and equations part 1 (Add Maths)

4b. Exam questions – trig identities and equations part 2 (Add Maths)

5. Cosine rule

6. Sine rule including the ambiguous case

7*. Proof of sine and cosine rules

8. Exam questions by topic – trig equations part 1

9. Exam questions by topic – trig equations part 2

10. Exam questions by topic – sine and cosine rules, area of a triangle

## Chapter 8 Graphs and transformations

more content coming soon

## Chapter 9 Binomial expansions

## Chapter 10 Differentiation

1. Introduction to differentiation

2. Differentiating polynomials

3. Harder examples

4. Equation of a tangent

5. Equation of a normal

6. Differentiation from first principles

7. First principles – polynomial, square root and reciprocal functions

8. Exam questions -differentiation part 1

9. Exam questions – differentiation part 2

10. Exam questions – applications of differentiation

11. Exam questions – first principles differentiation