# Key Points

## Overview

• Secondary 3 Additional Mathematics focuses on Algebra, Geometry and Trigonometry, and Calculus.
• Designed for students with interest and aptitude in mathematics.
• Enhances reasoning, communication, and application skills.

## Aims

• Equip students with mathematical concepts and skills for higher studies.
• Develop problem-solving abilities through a mathematical approach.
• Foster connections within mathematics and between mathematics and the sciences.
• Encourage an appreciation of the abstract nature and power of mathematics.

## Assessment Objectives

• Use and apply standard techniques (35% weightage): Recall and utilize facts, notations, tables, graphs, diagrams, and texts.
• Solve problems in a variety of contexts (50% weightage): Interpret and translate information, formulate problems mathematically, and apply mathematical techniques to solve problems.
• Reason and communicate mathematically (15% weightage): Justify mathematical statements, provide explanations in context, write mathematical arguments and proofs.

## Scheme of Assessment

• Two papers, each 2 hours 15 minutes, with equal weightage.
• Both papers comprise questions of varying marks and lengths.
• Requirement to answer all questions.

## Topics

### Algebra

• Covers quadratic functions, equations and inequalities, surds, polynomials and partial fractions, binomial expansions, and exponential and logarithmic functions.

### Geometry and Trigonometry

• Focuses on understanding trigonometric functions, identities, and equations, coordinate geometry in two dimensions, and proofs in plane geometry.

### Calculus

• Includes differentiation and integration.
• Applies these techniques to solve problems involving displacement, velocity, and acceleration.

## Conclusion

• Tuition prepares students for higher-level studies and assessments.
• Consistent effort and the right support are keys to mastering Additional Mathematics.

Learning additional mathematics at the secondary 3 level can be a challenging yet rewarding experience. It’s a stepping stone for A-Level H2 Mathematics, requiring students to have a strong foundation in algebraic manipulation skills and mathematical reasoning skills. This article will give you a comprehensive overview of what to expect from Secondary 3 Additional Mathematics tuition.

## An Overview of Additional Mathematics

Additional Mathematics at the secondary level covers Algebra, Geometry and Trigonometry, and Calculus, with an emphasis on developing reasoning, communication, and application skills. This syllabus extends the knowledge of O-Level Mathematics and is perfect for students with an interest and aptitude in mathematics.

The overall aims of the tuition would be to:

1. Enable students to acquire mathematical concepts and skills necessary for higher studies and learning in other subjects, particularly the sciences.
2. Develop problem-solving skills through a mathematical approach.
3. Foster connections within mathematics and between mathematics and the sciences.
4. Instill an appreciation of the abstract nature and power of mathematics.

## Assessment Objectives

In the tuition, students will be trained to meet the following assessment objectives:

1. Using and applying standard techniques (35% weightage): This involves recalling facts, notations, and utilizing tables, graphs, diagrams, and texts.
2. Solving problems in a variety of contexts (50% weightage): This requires interpreting information, translating information, formulating problems mathematically, and applying relevant mathematical techniques to solve them.
3. Reasoning and communicating mathematically (15% weightage): This entails justifying mathematical statements, providing explanations in context, and writing mathematical arguments and proofs.

## Scheme of Assessment

The tuition will prepare students for two papers, each lasting for 2 hours 15 minutes, and holding equal weightage. Both papers comprise questions of varying marks and lengths, with the requirement for students to answer all questions.

## Deep Dive into Topics

### Algebra

Tuition sessions will cover an array of algebraic topics such as quadratic functions, equations and inequalities, surds, polynomials and partial fractions, binomial expansions, and exponential and logarithmic functions. Each of these sub-topics equips students with various mathematical techniques, including solving quadratic equations, dealing with surds, factorizing polynomials, using binomial theorems, and understanding logarithms.

### Geometry and Trigonometry

The tuition will provide insights into understanding trigonometric functions, identities, and equations, coordinate geometry in two dimensions, and plane geometry proofs. Students will learn the properties of sine, cosine, tangent functions, understand the geometry of circles, and apply various theorems in plane geometry.

### Calculus

The calculus tuition will encompass differentiation and integration. Here, students will understand the derivative as a rate of change, learn the techniques of differentiation and integration, and apply these to solve problems involving displacement, velocity, and acceleration.

## Conclusion

Secondary 3 Additional Mathematics tuition is designed to provide students with a solid foundation in key mathematical areas and the skills required for higher-level studies. By investing in this tuition, students can expect to grow their mathematical abilities and perform well in their assessments.

Remember that perseverance and practice are key to mastery, so keep a positive mindset and don’t be afraid to ask questions in your tuition sessions. With consistent effort and the right support, mastering Additional Mathematics is an achievable goal!