Discovering Additional Mathematics A Textbook (2nd Edition)

Description

The Discovering Additional Mathematics 2nd Edition series has been carefully designed to encourage students to learn mathematics effectively and independently. It generates interest in mathematics by relating mathematical concepts to their applications in real-life, and presents a variety of approaches to enable students to engage fully with the material and to provide them with a broader and deeper understanding of mathematics.

Discovering Additional Mathematics A is a textbook in the discovering Mathematics series written for students in secondary schools. This textbook prepares students for the Singapore-Cambridge GCE O-Level Examinations in Additional Mathematics. This comprehensive textbook aims to make the learning of Mathematics an easy and exciting experience for students. As they learn, they will understand and internalise mathematical concepts and be able to apply them in real-life situations.

The approach generates interest in mathematics by relating mathematical concepts for their applications in real life, and by engaging students in independent research.

Key Features

• Clear and systematic presentation of concepts and examples 
• Colourful diagrams illustrate abstract concepts 
• Activities encourage experiential learning and investigation
• Carefully designed questions provide opportunities for students to apply mathematical concepts to real-life situations 
• In-text features engage students in independent research
• Questions are graded according to the skills required 
• Revision exercises and specimen papers are provided.

Table of Contents

1. Chapter 1 Indices and Surds
2. Chapter 2 Quadratic Equations
3. Chapter 3 Simultaneous Equations, Quadratic Inequalities and Modulus Functions
4. Chapter 4 Polynomials and Partial Fractions
5. Review Exercise and Investigation I
6. Chapter 5 Binomial Expansions
7. Chapter 6 Power, Exponential and Logarithmic Functions
8. Chapter 7 Trigonometric functions, Identities and Equations
9. Chapter 8 Further Trigonometric Identities
10. Review Exercise and Investigation II
11. Chapter 9 Coordinate Geometry of Lines and Rectilinear Figures
12. Chapter 10 Coordinate Geometry of Parabolas and Circles
13. Chapter 11 Proofs in Plane Geometry
14. Review Exercise and Investigation III
15. Answers