Bridge to A-level Mathematics

About Course

Many students face challenges when transitioning from their IGCSE courses to the next level. That’s where “The Bridge to A-level Mathematics” course comes in.
It is designed to help you bridge the gap and navigate the transition to the post-IGCSE level with more confidence.

The “Bridge to A-level Mathematics” is an online mini-course that serves as a link between your existing IGCSE knowledge and more advanced concepts you will encounter in A-levels or the IB programme. Our primary focus in this course is to develop and strengthen your algebraic skills: from working with indices and surds to understanding quadratic expressions and functions.
After that we carry on to working with algebraic fractions and then to introduction to calculus where we explore the concept of differentiation and the ways it can be applied in practical situations.

This course emphasises conceptual understanding of Mathematics, and that is why lessons are split into theory and practice.
Throughout the course, you can ask questions and seek assistance after each lesson, making your learning journey smooth and enjoyable.

Start learning today, free of charge!

Course Content

Introduction

How to study this course (Please don’t skip!)

03:34
Course materials

00:00

1. Indices and surds

2. Quadratics

2.1 Factorising quadratics when the leading coefficient is 1 (theory)

04:05
2.1 Factorising quadratics when the leading coefficient is 1 (practice)

05:22
2.2 Factorising quadratics when the leading coefficient is NOT 1 (theory and practice))

09:06
2.3 Completing the square (theory)

11:16
2.3 Solving equations by factorising and completing the square

06:14
2.4 Quadratic formula

05:05
2.4 Solving quadratic equations (practice)

06:14
2.5 Graphs of quadratic functions (theory part 1)

05:48
2.5 Graphs of quadratic functions (theory part 2)

09:00
2.6 Simultaneous equations with quadratics (theory)

07:14
2.6 Simultaneous equations with quadratics (practice)

11:03
Quiz: quadratics

3. Algebraic fractions

4. Introduction to calculus

5. Practical applications of calculus
In this topic we will focus on practical applications of differention: finding the maximum and minimum values of a function and see how we can use it in context.

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About Course

Course Content

Introduction

How to study this course (Please don’t skip!)

Course materials

1. Indices and surds

1.1 Four rules (Theory)

1.1 Four rules (Practice)

1.2 Fractional and negative indices (Theory)

1.2 Fractional and negative indices (practice)

1.3 Surds: Two laws (theory)

1.3 Surds: Two laws (practice)

1.4 Surds: rationalising the denominator (theory and practice)

Indices and surds quiz

2. Quadratics

2.1 Factorising quadratics when the leading coefficient is 1 (theory)

2.1 Factorising quadratics when the leading coefficient is 1 (practice)

2.2 Factorising quadratics when the leading coefficient is NOT 1 (theory and practice))

2.3 Completing the square (theory)

2.3 Solving equations by factorising and completing the square

2.4 Quadratic formula

2.4 Solving quadratic equations (practice)

2.5 Graphs of quadratic functions (theory part 1)

2.5 Graphs of quadratic functions (theory part 2)

2.6 Simultaneous equations with quadratics (theory)

2.6 Simultaneous equations with quadratics (practice)

Quiz: quadratics

3. Algebraic fractions

3.1 Algebraic fractions (theory)

3.1 Addition and subtraction (practice)

3.1 Multiplication and division (practice)

3.2 Equations with algebraic fractions (theory and practice)

Quiz: Algebraic fractions

4. Introduction to calculus

4.1 Differentiation from the first principles (theory)

4.1 Differentiation from the first principles (practice)

4.2 Rules for differentiation (theory)

4.2 Differentiating polynomials (practice)

Quiz: Introduction to calculus

5. Practical applications of calculus In this topic we will focus on practical applications of differention: finding the maximum and minimum values of a function and see how we can use it in context.

Finding maximum and minimum of a function (theory and practice)

Differentiation in context (theory and practice)

Quiz: Practical applications of calculus

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5. Practical applications of calculus
In this topic we will focus on practical applications of differention: finding the maximum and minimum values of a function and see how we can use it in context.