**Get ready for A-level maths – a bundle of 5 short courses to help you master the end of GCSE+IGCSE maths and get started with A-level maths**

5 strands (teaching videos free):

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

2021 Update!

1. Rules of indices

2. Surds and simple rationalising

3. Harder rationalising of surds

Older videos on the same topics:

1. Intro to surds and taking out square factors

2. Multiplying surd expressions

3. Rationalising surd denominators

4. Rules of indices

5. Fractional indices

ONLINE COURSE: Indices, surds and logarithms – Mathsaurus course with teaching videos and worksheets with full video solutions

## 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*

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

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

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