H2 Mathematics is designed to prepare students for a range of university courses, including mathematics, sciences, engineering and related courses, where a good foundation in mathematics is required. Through applications of mathematics, students also develop an appreciation of mathematics and its connections to other disciplines and to the real world.
H2 Mathematics Classes For 2025 Have Started.
The course syllabus at The Annexe Project prepares students adequately for A Level Higher 2 Mathematics, where students develop mathematical thinking and reasoning skills as well that are essential for further learning of Mathematics.
Course Framework
Every year between August and October, our star tutor Mr Alvin Yeo will prepare his J2 students intensively through a 16- lesson Full Revision Program package followed by Mock Examinations Paper 1 and 2 set by himself that effectively prepares them to get their As. To increase the practice intensity for H2 Mathematics, A-level students can also enroll themselves into the ASTRO Program that kicks start on the first week of June yearly.
Pure Mathematics
Functions
- Concepts of function, domain, and range
- Finding inverse functions and composite functions
- Conditions for the existence of inverse functions and composite functions
- Domain restriction to obtain an inverse function
- Relationship between a function and its inverse
- Use of notations
Graphs and transformations
- Important characteristics of graphs such as symmetry, intersections with the axes, turning points, and asymptotes
- Determining the equations of asymptotes, axes of symmetry, and restrictions on the possible values of x and/or y
- Simple parametric equations and their graphs
Equations and inequalities
- Formulating an equation, a system of linear equations, or inequalities from a problem situation
- Solving an equation exactly or approximately using a graphing calculator
- Solving a system of linear equations using a graphing calculator
Vectors
- Basic properties of vectors in two and three dimensions
- Scalar and vector products in vectors
- Three-dimensional vector geometry
Introduction to Complex Numbers
- Complex numbers expressed in cartesian form
- Complex numbers expressed in polar form
Calculus
- Differentiation
- Maclaurin series
- Definite integrals
- Differential equations
- Probability and Statistics
- Addition and multiplication principles for counting
- Concepts of permutation (npr) and combination (ncr)
- Discrete random variables
- Normal distribution
- Sampling
- Hypothesis testing
- Correlation and linear regression
Probability and Statistics
- Probability and Statistics
- Addition and multiplication principles for counting
Concepts of permutation (npr) and combination (ncr) - Discrete random variables
- Normal distribution
- Sampling
- Hypothesis testing
Correlation and linear regression
Our 4-Pronged Approach
1. Weekly Lectures
Lectures are conducted by head-tutor Mr Alvin Yeo on a weekly basis to an average class size of 10 students. We prepare lecture notes for each day that come with clear step-by- step worked examples and tips on tackling important questions. Lectures are also recorded on Zoom so that students have a video copy of all lessons.
2. Tutorial Questions
Students will be given tutorial questions at the end of each lecture as homework. These practice exercises help to ensure students fully grasp the concepts of topics covered and able to confidently apply them during their examinations. All homework will be thoroughly reviewed by the tutor in the following week.
3. Topical Tests
A topical test is conducted each time a chapter has been completed. This provides a clear assessment of the student’s proficiency in the topic. Students can request for a re-test should they fail the first attempt or simply book a consultation slot with Mr Yeo if they need further help in a topic.
4. Free Consultations
Our Special Brew of Comprehensive Study Materials
Many students struggle with Maths because their revision notes are not clear or complete enough. To address this, our head tutor Mr Alvin Yeo has created a series of study materials tailored for our H2 Maths tuition students. These notes summarise key examples for each topic and reflect the latest question trends. Each set also includes tutorial questions, either written by us or selected from past prelim papers. To help students study on their own, Mr Yeo has also prepared handwritten solutions for these tutorial questions. The solutions are clear, easy to follow, and designed to build confidence in independent learning.
Boost-Up Programmes
Extra Lectures
Extra lectures are conducted during the June holidays to help students prepare better for their mid-year papers which are usually held in the first two weeks of July.
The Astro Programme
Extra lectures are conducted during the June holidays to help students prepare better for their mid-year papers which are usually held in the first two weeks of July.
Our Track Record
Students Achieving an A in A-Level H2 Math
Preparing our students for the A-Level H2 Mathematics Exam
Phase I: Lectures
By attending the weekly lectures conducted by Mr Yeo, students will become adept in applying concepts required by the respective topics in the syllabus. Following The Annexe Project’s 4-pronged approach, students will attain an intimate understanding of the topics, building momentum and confidence as the ‘A’-Levels approaches. Mr Yeo usually completes the syllabus by June of the JC 2 year, whereupon Phase II will begin.
Phase II: ‘Spotting’
This revision crash course is an intensive 4-month period designed to prepare our students for the upcoming national examination. Mr Yeo revises the concepts of every topic in the H2 Mathematics syllabus with his students using the revision package notes that he has created for each topic. In each set of notes, Mr Yeo will recap formulae and concepts for all topics. By closely scrutinising current trends, he also ‘spots’ two to three types of questions that may appear in the A-Level paper and compiles about five questions for each case type. These questions will be completed during class, which ends with a 15-minute quiz where students will be able to put into practice what they have just revised during the lecture.
Phase III: Mock Examinations
The preparation for ‘A’-Levels H2 Mathematics ends with mock examinations set by Mr Yeo. There will be a total of two papers, to simulate the ‘A’-Levels. It is usually conducted three or four weeks before the national exams so students can have a better sense of their readiness for the actual papers. During this last crucial period, consultation slots will be fully open for the weaker students to receive all the final help they can get from Mr Yeo before their big day.
The Astro Programme
The key to scoring in examinations (for Mathematics in particular) is practice, practice and… more practice. Mr Yeo recognises the importance of doing Mathematics problems repeatedly within a specific time frame because it helps to build confidence and trains each individual to manage their time wisely. The Astro Program is an additional programme that existing students can opt to enrol in during the last six months prior to the ‘A’-Levels. Students will have to complete a full 3 hour paper each week and mark their own scripts with the solutions provided. Then, they will attend the consultation lesson with the tutor who will go through questions selected by the students themselves. After consultation, the tutor will collect the answer scripts for marking and grading. This programme aims to allow students to acclimatise to the mental rigour of completing a 3 hour paper and be fully-seasoned pros by the time of the actual examination.
Your Tutor
Mr. Alvin Yeo, Principal and Founder
Head of the Department of Mathematics
Secondary and Junior College Level
Education
- Bachelor of Architecture, National University of Singapore NUS
- Hwa Chong Junior College, Singapore 1996 – 1997
- Maris Stella High School, Singapore 1992 – 1995
Experience
- 20 years of coaching and mentoring experience
- Founder of The Annexe Project Educational Centre, Singapore since 2008
- Lecturer and Subject Co-ordinator, A-level H2 Mathematics and O-level Additional Mathematics tuition, The Annexe Project since 2008
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