IGCSE Additional Mathematics

Introduction

IGSCE Math encourages the development of mathematical knowledge as a key life skill and as a basis for more advanced study. The syllabus aims to build learners’ confidence by helping them develop a feel for numbers, patterns and relationships, and places a strong emphasis on solving problems and presenting and interpreting results. Learners also gain an understanding of how to communicate and reason using mathematical concepts.

Objectives

Systematize the core knowledge of the subject

Become familiar with most IGCSE exam formats

Reduce pressure and study time

Improve scores effectively

Enhance independant thinking

Create a solid foundation for higher education

Characteristics

Quality teachers with extensive knowledge about students psychology

Teaching programs are based on international standards

Exclusive materials that closely follow the IGCSE formats

Personalized teaching method according to student progress

Commitment on IGCSE pass grade

Alternative to Practical completion support

Course content

Topic 1: Functions

1.1 Mappings

1.2 Definition of a function

1.3 ..................................

Topic 2: Simultaneous equations and quadratics

2.1 Simultaneous equations (one linear and one non-linear)

2.2 Maximum and minimum values of a quadratic function

2.3 ..................................

Topic 3: Indices and surds

3.1 Simplifying expressions involving indices

3.2 Solving equations involving indices

3.3 ..................................

Topic 4: Factors and polynomials

4.1 Adding, subtracting and multiplying polynomials

4.2 Division of polynomials

4.3 ..................................

Topic 5: Equations, inequalities and graphs

5.1 Solving equations of the type |ax – b| = |cx – d|

5.2 Solving modulus inequalities

5.3 ..................................

Topic 6: Logarithmic and exponential functions

6.1 Logarithms to base 10

6.2 Logarithms to base a

6.3 ..................................

Topic 7: Straight-line graphs

7.1 Problems involving length of a line and mid-point

7.2 Parallel and perpendicular lines

7.3 ..................................

Topic 8: Circular measure

8.1 Circular measure

8.2 Length of an arc

8.3 Area of a sector

Topic 9: Trigonometry

9.1 Angles between 0° and 90°

9.2 The general definition of an angle

9.3 ..................................

Topic 10: Permutations and combinations

10.1 Factorial notation

10.2 Arrangements

10.3 ..................................

Topic 11: Series

11.1 Pascal's triangle

11.2 The binomial theorem

11.3 ..................................

Topic 12: Differentiation 1

12.1 The gradient function

12.2 The chain rule

12.3 ..................................

Topic 13: Vectors

13.1 Further vector notation

13.2 Position vectors

13.3 ..................................

Topic 14: Differentiation 2

14.1 Derivatives of exponential functions

14.2 Derivatives of logarithmic functions

14.3 ..................................

Topic 15: Integration

15.1 Differentiation reversed

15.2 Indefinite integrals

15.3 ..................................

Topic 16: Kinematics

16.1 Applications of differentiation in kinematics

16.2 Applications of integration in kinematics

Choose a form of study

Small class

Private tutoring group

1 plus 1

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IB Math AA HL

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