# Get A1 at Punggol Additional Mathematics Tuition for Secondary 3

## Understanding the Syllabus

• O-Level Additional Mathematics syllabus is a foundation for A-Level H2 Mathematics.
• Emphasizes on reasoning, communication, and application in mathematics.
• Syllabus is divided into three strands: Algebra, Geometry and Trigonometry, and Calculus.
• Designed for students with strong interest and aptitude in mathematics.

## Preparing for the Exams

• Two examination papers: Paper 1 and Paper 2.
• Both are 2 hours 15 minutes long.
• Paper 1 comprises 12 – 14 questions of varying lengths and marks, up to 10 marks per question.
• Paper 2 consists of 9 – 11 questions of varying lengths and marks, up to 12 marks per question.
• Both papers require answering all questions, each constitutes 50% of the total grade.

## Examination Approach

• Designed to assess students’ abilities in various mathematical skills.
• Weighting for assessment objectives:
• Use and apply standard techniques (AO1): 35%
• Solve problems in a variety of contexts (AO2): 50%
• Reason and communicate mathematically (AO3): 15%

## Course Content

### Algebra

• Understanding quadratic functions, equations, and inequalities.
• Solving equations involving surds.
• Multiplication and division of polynomials.
• Simplifying expressions involving exponential and logarithmic functions.

### Geometry and Trigonometry

• Exploring trigonometric functions, identities, and equations.
• Learning about coordinate geometry in two dimensions.
• Tackling proofs in plane geometry.

### Calculus

• Learning about differentiation and integration and their applications.
• Determining the derivative of a function as the gradient of a tangent.
• Recognizing increasing and decreasing functions.
• Applying differentiation to gradients, tangents, and normals.

## Expectations and Outcome

• Designed to build a strong mathematical foundation for O-Level Additional Mathematics and further studies.
• By the end of the course, students should be able to use standard techniques, solve problems, and justify mathematical statements.
• Aiming to help students achieve an A1 in Additional Mathematics.

Mastering Additional Mathematics at the O-Level is no small feat, but the right resources and guidance can simplify this challenging task. At Punggol Additional Mathematics Tuition for Secondary 3, students are prepared to excel and attain an A1 grade in their examinations. This comprehensive guide will offer insights into what you can expect from the course.

## Understanding the Syllabus

The O-Level Additional Mathematics syllabus forms a strong foundation for A-Level H2 Mathematics, emphasizing critical mathematical processes like reasoning, communication, and application. It is divided into three key strands: Algebra, Geometry and Trigonometry, and Calculus. The course is designed for students with a strong interest and aptitude in mathematics, and those keen on pursuing higher studies in this subject.

### Preparing for the Exams

The course prepares students for two critical examination papers that focus on various problem-solving techniques and mathematical reasoning skills. Here’s what you can expect:

• Paper 1: This paper is 2 hours 15 minutes long and comprises 12 – 14 questions of varying lengths and marks, with a maximum of 10 marks per question.
• Paper 2: A 2 hours 15 minutes examination similar to Paper 1, but the questions are slightly more complex and can earn up to 12 marks each.

### Examination Approach

The examinations are designed to assess a student’s ability to recall facts, interpret information, solve problems in different contexts, justify mathematical statements, and more. The approximate weighting for these objectives is as follows:

• Use and apply standard techniques (AO1): 35%
• Solve problems in a variety of contexts (AO2): 50%
• Reason and communicate mathematically (AO3): 15%

## Course Content

### Algebra

From understanding quadratic functions to mastering binomial expansions, the algebra strand delves into key concepts and skills. You will learn to solve equations involving surds, multiply and divide polynomials, and simplify expressions involving exponential and logarithmic functions.

### Geometry and Trigonometry

The Geometry and Trigonometry strand will help you explore the principles of trigonometric functions, identities, and equations. You will also learn about coordinate geometry in two dimensions, and tackle proofs in plane geometry, among other topics.

### Calculus

In the Calculus section, you will learn about differentiation and integration and their applications. Topics covered include determining the derivative of a function as the gradient of a tangent, recognizing increasing and decreasing functions, and applying differentiation to gradients, tangents, and normals.

## Expectations and Outcome

Punggol Additional Mathematics Tuition for Secondary 3 aims to build a strong mathematical foundation that not only prepares students for their O-Level Additional Mathematics examinations but also for further studies in mathematics-related fields. By the end of the course, students should be well-equipped to:

• Use standard techniques and apply them to solve problems.
• Translate information between different forms, formulate problems into mathematical terms, and apply mathematical techniques to solve these problems.
• Justify mathematical statements, provide explanations, and write mathematical arguments and proofs.

Achieving an A1 in Additional Mathematics is no longer a daunting challenge with Punggol Additional Mathematics Tuition for Secondary 3. The course is designed to nurture your mathematical aptitude, helping you to appreciate the power of mathematics while preparing you to excel in your exams. With dedication, hard work, and the right guidance, acing Additional Mathematics is definitely within your reach.