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 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. Factorising quadratics and disguised quadratics *NEW*

7. Completing the square and sketching graphs *NEW*

8. Quadratic (and harder) inequalities *NEW*

ONLINE COURSE: Quadratic equations and inequalities – Mathsaurus course with teaching videos and worksheets with full video solutions

**Get ready for the Intermediate Maths Challenge (age 13-16) – Free online course!**

**Go for Gold in maths Challenges (age 13-16)**

**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

New 2021 versions:

- Distance between 2 points and midpoints
- Gradients, parallel and perpendicular lines
- Equations of straight lines

ONLINE COURSE: Co-ordinate Geometry + Differentiation – Mathsaurus course with teaching videos and worksheets with full video solutions

**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

New 2021 Versions:

1. Sine rule (including the ambiguous case)

2. Cosine rule + Area of a triangle

3. Solving trigonometric equations

ONLINE COURSE: Trigonometry and trigonometric equations – Mathsaurus course with teaching videos and worksheets with full video solutions

**Chapter 7 Polynomials**

**Chapter 8 Graphs and transformations**

more content coming soon

**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

ONLINE COURSE: Co-ordinate Geometry + Differentiation – Mathsaurus course with teaching videos and worksheets with full video solutions

**Chapter 20 Forces and Newton’s laws of motion**

**Chapter 21 Variable Acceleration**

**Mechanics Exam Questions**

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