# O-Level Mathematics

Across the secondary school level, students will begin learning concepts spanning numerals, algebra, geometry, data analysis (statistics, probability) and analytics. These concepts range from beginner concepts such as simple algebraic manipulations, to more difficult concepts such as using differentiation to study a rate of change.

These concepts will also build upon and continue to develop the student’s ability to reason, communicate logic arguments and connect patterns using structural and abstract thinking.

At this stage of development, a strong education is important to help students develop thecorrect mindset towards mathematics, which in turn helps to develop the ideal qualities of reasoning and logic through mathematics. Additionally, should a student be considering the A level stream after taking O levels, the content learned through Secondary 1 to 4 forms the baseline required for H2 mathematics at the A levels. As the O level syllabus for mathematics is quite intensive, we would encourage tuition for your child to help further develop these qualities, prepare for syllabus expectations, and prepare for any future mathematics that he or she may choose to take.

The O-level Mathematics is split into 2 levels. In Secondary 1 and 2, students will learn common mathematics topic such as numbers, algebra, geometry and statistics. Upon reaching Secondary 3, students will have the opportunity to explore Elementary Mathematics and Additional Mathematics. The picture above depicts the various topics an O-level student can expect to learn.

### How challenging is Secondary School Mathematics?

Secondary school mathematics requires the students to delve into abstract topics such as algebra. Students are also increasingly challenged to reason and view concepts from various perspectives, such as from the surface area of 2D pictures to 3D solids. This difficulty takes larger leap in upper secondary, with increasingly abstract concepts such as calculus and trigonometry. These abstract concepts are extremely challenging, as most students are unable to see it beyond anything but applying formulas to equations.

### Should I pursue Mathematics Tuition?

It is undeniable that mathematics is one of the most commonly taken, and most important subjects out there. Additional mathematics paves a direct path to H2 mathematics at the Junior College Level, and H2 mathematics is a prerequisite for most science-based courses in university.

Hence, it is of utmost importance that we have a strong foundation and good education in Secondary school mathematics, as it will make the transition from Secondary to Junior College mathematics smoother. We would recommend students to pursue tuition for mathematics.

At Physics Academy @ XMEducation, we use a personalized learning system and a mastery-based approach to make all the abstract concepts become crystal clear. Our teachers updated with the latest MOE syllabus, and are trained to make all concepts easy for students to understand.

We begin mathematics education by first establishing the level of understanding of the student. Notes that break down relevant concepts to bite-size pieces are also provided, and teachers will guide students on the understanding and application of the concepts in a relevant and engaging manner.

The lessons are supplemented with practice questions and worksheets that reflect the latest examination trends. The practice questions are also graded in difficulty, to guide students to go from understanding the concept to complete mastery of the topic.

The A.Math Concept List consists of all the concepts taught in the O-level syllabus.

It serves as a self-check for students and allow tutors to keep a record of each student.

When the students have done enough practices and managed to pass the quizzes for those concepts, the tutors will sign on the concept list.

### Our In-House Notes

Comprehensive Formula List at the start of each chapter for quick, easy and effective revision

The Worked Examples highlight important question-solving techniques for each concept. Each Worked Example comes with systematic worked-through steps, so that students can follow the notes easily.

Multiple Self-Check questions, arranged in increasing level of difficulty, to facilitate mastery of each chapter. Practice makes perfect!

### Digital Lessons

A. MATHEMATICS

INDICES AND SURDS

Delve into the surd operations and learn important concepts such as surd rationalization.

A. MATHEMATICS

LINEAR LAW

For this concept, our math tutor details the various steps commonly used in linearising non-linear functions, such that they can be modelled by the form Y = mX + c. After we change our axes accordingly, we will be able to obtain a straight line graph.

A. MATHEMATICS

INTEGRATION II

This video goes through and explains the various rules governing the use of definite integrals.

### Master Mathematics Tutor

#### Mr Lim Bo Dong

Mr Lim is an experienced tutor teaching Primary and Secondary Mathematics / English (O-level and IP stream). He graduated from University of Melbourne with a Bachelor of Arts, majoring in English Literature and Philosophy. He had been tutoring English and Mathematics where he worked alongside a variety of students, including dyslexic and autistic kids.

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