1. The dual identity of Form 3
The level for Form 1 is Thinking transformation, the level of Form 2 is Dependency chain formation. The levels in Form 3 are different - it's The overlap between the two courses: On the one hand, it is necessary to wrap up the content of the third year of junior secondary. On the other hand, many schools have begun to teach senior secondary content.
This is the most easily overlooked fact: Quadratic equations of one variable, quadratic functions and images, variations, basic properties of circles, and continued polynomials are in the official course division A learning unit belonging to the senior secondary Core, not a junior secondary course. However, many Band 1 secondary schools will teach these contents in Form 3 first in order to make time for Form 4.
The result is: also called "Form 3 Mathematics", school A may still be dealing with similarity and congruence, while school B is already teaching the vertex expression of quadratic functions - the actual range may be different.a whole semester. Therefore, any universal "Form 3 mathematics curriculum" is bound to be inaccurate for some students.
Two practical consequences
- Tuition must be targeted at the school. Providing the name of the school when registering is not a formality - if the tuition centre teaches according to a common pace, it will not be helpful to students in schools that have already taught senior secondary content in advance, and vice versa.
- If you fail to learn senior secondary units in Form 3, you will have to retake them in senior secondary. The progress of Form 4 will not stop for this, so the time for re-learning must be squeezed out from other places.
- Form 1 maths tuition
- Form 2 maths tuition
- M1 M2 subject selection comparison
- DSE courses
- Mathematics supplement
- Book a Trial Lesson
2. Course coverage: two types of content should be distinguished
We clearly divide the content of Form 3 into two categories because their nature and processing methods are different.
Category 1: Final content of junior secondary courses
| Learning scope | Topic | extension in senior secondary |
|---|---|---|
| Numbers and Algebra | Advanced factorization (group decomposition, more complex polynomials); exponential laws (negative exponents, fractional exponents); comprehensive application of algebraic expressions and equations | Quadratic equations, continued polynomials, exponential functions and logarithmic functions |
| Measurement, Figures and Space | Similarity and congruence (determination conditions and applications); advanced trigonometry (applications in solving right triangles, azimuth angles, elevation and depression angles, and solid figures); advanced application of the quadrature method | Continuous Trigonometry (sine formula, cosine formula, three-dimensional problems) |
| Data processing | Comprehensive interpretation of statistical charts; organization and comparison of data; basic probability | Measurement of dispersion, continued probability, and applications of statistics |
Category 2: High school compulsory units introduced in advance by many schools in Form 3
| unit of study | Frequently taught parts of Form 3 | Position in DSE |
|---|---|---|
| Quadratic equation of one variable | Factoring method, formula method, combination method, discriminant | Formal unit of study in Core "Number and Algebra" area |
| Functions and their images (including quadratic functions) | Vertex, axis of symmetry, opening direction, maximum and minimum values | Core formal learning unit, common in Paper 1 and Part B |
| variation | Direct change, negative change, combined change, partial change | Core formal learning unit, Paper 1 Part A (2) Common |
| Basic properties of circles | Central angle and circumferential angle, properties of chords, properties of tangents | Core formal learning unit, main source of geometry proof questions |
| continuation polynomial | Remainder theorem, factor theorem | Core formal unit of study |
| Equations of Lines and Circles (some schools) | Slope, equation of line, parallel and perpendicular conditions | Core formal unit of study |
Why should we distinguish between these two categories: The first category is "finishing" - the goal is to ensure there are no gaps brought into senior secondary. The second category is "starting" - these contents This is the official subject of DSE, the version learned in Form 3 may be different from the depth required by senior secondary, so it needs to be deepened again in Form 4. The consequence of confusing the two categories is that students think they have "learned Form 3" of a certain unit, but in fact they have only learned the shallow version.
The actual arrangements vary greatly from school to school. Our Form 3 courses are organized by school - please provide the school name and nearest test range when registering.
3. Five skills that must be achieved in Form 3
What is more important than "which topics have been taught" is "what level has been achieved." The following five items are the direct prerequisites for multiple study units of the senior secondary Core - if Form 3 cannot be done, the senior secondary will suffer repeatedly.
Skill 1: Factorization must be fast and accurate
level to reachSeeing the quadratic expression allows you to decide which method to use within seconds, rather than trying them one by one.
Judgment order- First see if there are any common factors that can be extracted.
- Then look at whether it is a square difference or a perfect square.
- Finally try cross multiplication.
- After decomposition, check whether each factor can be decomposed again.
it is Quadratic equation of one variable (factorization method),continuation polynomial (factor theorem),Functions and their images (Find the intercept) Common prerequisites for the three senior secondary units of study. The scope of DSE Volume 2A includes the basic part of junior secondary, and factoring itself is directly testable content.
Skill 2: Master all three solutions to quadratic equations of one variable
level to reachYou can use all three of the factoring method, formula method, and compounding method, and know when to apply each—not just one form.
focus- The collocation method is not just a method of solving equations: It is the same thing as the vertex expression of a quadratic function. If you only memorize the matching method as a step to solve an equation, you will not be able to start with the optimal quadratic function problem later.
- The meaning of discriminant: It determines the nature of the root and also corresponds to the number of intersections between the image and the x-axis. This link is a common test site in senior secondarys.
- The order of substitution in the formula method: Write a, b, c (including symbols) in separate lines first, calculate the discriminant first, and then substitute the complete formula.
Skill 3: Ability to read information from images
level to reachWhen you see a parabola, you can tell the vertex, axis of symmetry, opening direction, and intersection point with the coordinate axis, and in turn write an equation based on these conditions.
Common gapsStudents can usually draw graphs from equations, but cannot deduce equations from graphs—and DSE questions often require the latter. The training method is to deliberately do inverse problems: find equations for graphs, and find equations for vertices and points.
Skill 4: Geometric proofs and the ability to write reasons
level to reachEach step adopts the format of "statement + reason in brackets". The reason uses the complete name of the property, rather than vague descriptions such as "the angles are equal".
Why is it particularly critical in Form 3?If the school has taught Basic properties of circles, the difficulty of the proof questions is quite close to that of DSE. The DSE Paper 1 is scored according to the reasoning steps, and most of the scores for the proof questions are based on the reasons - this is a score obtained purely based on writing habits and has nothing to do with mathematical ability. For details, see Paper 1 Answering Tips.
Skill 5: Exponential laws include negative exponents and fractional exponents
level to reachBe able to freely handle the interchange of negative exponents and fractional exponents, and correctly apply various laws in simplification.
Why it mattersit is senior secondary Exponential and logarithmic functions The direct precondition of M1 and M2; while in the calculus part of M1 and M2, x Derivation and integration of fractional powers are basic operations - if you are not familiar with exponential operations, calculus will get stuck at the most basic step.
Self-checklist
- Once you see the quadratic equation, you can determine the decomposition method within a few seconds.
- All three methods of solving quadratic equations can be used, and you know when to use which one
- Understand that the combination method and the vertex expression are the same thing
- The equation can be deduced from the parabola image
- Write the complete name of the property at each step of the geometric proof.
- The exchange of negative exponents and fractional exponents is a no-brainer
- Have the habit of checking the calculation after solving the problem (substituting back to the original formula)
- There are errors in the question book and record the error classification
For the four-column format of the error question book and the error classification method, see Common points lost and errors counted.
4. M1/M2 subject selection: the correct basis for judgment
In the next semester of Form 3, you usually have to decide whether to take Extended Modules in senior secondary, and whether to choose M1 or M2. This is the most important decision for Form 3.
Do not use school scores as a basis for judgment. There are common threshold tables such as "If you score above 85, choose M2, if you score 75 to 84, choose M1, and if you score below 75, focus on compulsory subjects." However, the scoring standards and difficulty of test papers in different schools vary greatly. The 75 points of School A are not comparable to the 75 points of School B. Using an incomparable number to make a decision that will affect two years is very risky.
Three ability characteristics you should look for
| Ability characteristics | How to observe | point to |
|---|---|---|
| Accuracy and patience in algebraic operations | Will multi-step deductions (such as complex factorization, equations containing fractions) make mistakes or give up midway? | strong → M2; Weak → Consolidate compulsory courses first |
| Ability to write complete reasoning | Can the geometric proof be written with all the reasons? Can it explain "why it is done" instead of just giving the answer? | strong → M2 (Core requirements for mathematical induction and vector proof) |
| situational translation ability | Can the word problem be converted into mathematical settings? Can it be judged which tool to use? | strong → M1 (The core requirement of statistical questions is to determine which distribution should be used) |
The actual difference between M1 and M2
| Compare items | M1 Calculus and Statistics | M2 Algebra and Calculus |
|---|---|---|
| three learning areas | Basic knowledge, calculus, statistics | Basic knowledge, calculus, algebra |
| core orientation | Application orientation, emphasizing the application of mathematics | Theoretically oriented, emphasizing reasoning and rigor |
| Exclusive content | Binomial distribution, geometric distribution, Poisson distribution, normal distribution, sampling and estimation | Mathematical induction, matrices and determinants, linear equations, vectors and scalar products/vector products |
| main difficulty | Translate text situations into correct distributions and parameter settings | Argument completeness and algebraic operation accuracy of proof questions |
| Exam format | exactly the same: One test paper, 2 hours and 30 minutes, full score is 100 points, Part A and Part B are about 50 points each, all must be answered | |
| Link to Form 3 | Reliance on percentages, interpretation of statistical charts, and situational understanding | Rely on the writing of factorization, algebraic operations, and geometric proofs |
The exam formats for both subjects are exactly the same— It is also a 2 hours and 30 minutes test paper with a maximum score of 100 points. The so-called "M2 is more difficult" is not because the question itself is deeper, but because the abilities it requires (abstract deduction and complete argumentation) are less systematically trained in secondary school.
Regarding university admission requirements: Different universities and departments handle Extended Modules differently - some only provide additional reference, some give specific arrangements when scoring, and some specific courses explicitly require M1 or M2 to reach a specified level. These conditions will be adjusted by year and course, so Before choosing a subject, you must directly check the admission requirements published by the target department for that year., do not rely on translations from tuition centers or forums.
For a complete subject selection comparison, see M1 M2 Comparison and subject selection;For the course scope of each subject, see M1 complete guide and M2 complete guide.
There is another option: don’t decide yet
If the three ability characteristics are not stable, the best way is not to reluctantly choose one subject;First lay a solid foundation for Core. Core accounts for the entire DSE maths subject score, while Extended Modules are additional subjects - it is usually not cost-effective to use Core scores to exchange for an barely manageable extended unit.
5. Correct usage of Form 3 TSA
Form 3 Territory System Assessment (TSA) Mathematics Subject Coverage three learning areas— The basic part of the Form 1 to Form 3 courses in Numbers and Algebra, Measurement of Graphics and Space, and Data Processing.
It's not a college entrance exam, so it's not worth practicing for. But it has a practical use:as a diagnostic tool. If a certain area is obviously weak, that is the area that should be prioritized before moving to senior secondary - because senior secondary Core follows the same set of three areas, the gap in that area will reappear in the same area in senior secondary.
Class placement within the school is also worth paying attention to. Many Band 1 secondary schools are grouped or divided into classes according to their maths results in junior secondary. After being assigned to a lower group, the depth and progress of available teaching materials are limited, and it is not easy to move back to the upper group later. If schools have such arrangements, there will be additional practical impact on Form 3 performance.
6. Two-level relationship between Form 3 and DSE
The first level: junior secondary content itself is within the scope of public trials
| test paper part | Question scope |
|---|---|
| Paper 1 Part A (Part A (1) and Part A (2), 70 points in total) | Core and Form 1 to Form 3 courses basic part |
| Paper 1 Part B (35 points) | Basics of Core and Form 1 to Form 3 courses and non-basic part |
| Volume 2A (accounting for about two-thirds of the entire volume) | Basic topics of Core and Form 1 to Form 3 courses basic part |
| Paper 2 Part B (about one-third) | Core and entire Form 1 to Form 3 courses |
Second level: The senior secondary units taught in Form 3 are DSE formal topics.
If the school has taught quadratic equations, functions and their graphs, variations, basic properties of circles or continued polynomials in Form 3 in advance, those It is the official learning unit of DSE Core.— Not "preview" but "main lesson". If you don't do well in Form 3, you will have to study it again in senior secondary, but the progress of Form 4 will not stop and wait.
Let’s deal with a common statement by the way: There is a prediction table in the market that says "a certain score in Form 3 corresponds to a certain grade in DSE". There is no basis for this correspondence - the difficulty and scoring standards of internal examinations are different for each school, and they are also inconsistent with the assessment methods of public examinations; and DSE uses level-referenced score reporting, and the HKEAA never announced The scores or percentages corresponding to each level. For detailed mechanism, see DSE Mathematics 5** Strategy.
The more meaningful judgment is not the score;The five skills above whether it reaches the level.
7. Course Arrangements and Fees
Course features
- Corresponding to the school's progress: First confirm whether the school has taught senior secondary compulsory units in advance, and then decide the focus of teaching - this is the biggest difference between the Form 3 curriculum and other grades.
- Two lines in parallel: The first-line team finishes junior secondary subjects and repairs the gaps. The first-line team handles the introduced senior secondary units and upgrades them to the depth required by DSE.
- M1/M2 Subject Selection Assessment: Recommendations are given based on three ability characteristics (algebraic accuracy, completeness of reasoning, situational translation) rather than on score thresholds.
- On-campus pre-examination support: Focus on reviewing the scope of the school and common question types.
- Three levels of difficulty exercises: Basic concepts, deepening and changing question types, and test questions in prestigious schools (for top-notch students).
- Writing standard training: Starting from Form 3, establish the writing habit of complete steps and justifications - DSE Paper 1 is scored according to the reasoning steps.
- after school support: Ask for homework via WhatsApp.
Summer vacation arrangements for Form 4 students
The summer vacation between Form 3 and Form 4 is the only time when you can "make up for the gap in junior secondary" and "preview senior secondary topics" at the same time. Suggested order:
- Press first five skills Check item by item to identify items that are not up to par.
- Repair the chip intensively (about 2 to 3 weeks).
- Preview the introductory topics of Form 4Core: functions and their graphs, exponential functions and logarithmic functions, and continued polynomials.
- If you have decided to take M1 or M2, you can first gain exposure to the basic knowledge areas of the subject.
See summer school schedule and fees summer maths courses.
Schedule and fees
| project | Details |
|---|---|
| Class time | Tuesday 16:30–18:00 / Saturday 10:30–12:00 |
| Duration of each class | 1.5 hours |
| Number of classes per month | 4 classes |
| monthly tuition | HK$1,280 |
| average hourly | About HK$213 |
| class size | About 12 to 14 people, two tutors (teacher-student ratio no more than 1:7) |
| Textbook | Includes instructor-written notes, graded exercises and selected test questions from prestigious schools |
| trial lesson | The first class is half price; the first month’s tuition will be deducted for daily reading |
The actual opening of classes depends on the number of places. If time is not convenient, you can inquire about other time slots, self-organized classes (minimum 3 people) or online courses. For full charges see Fees and Tuition Page, for course details, see junior secondary maths tuition;See the arrangements after upgrading to Form 4 DSE maths tuition.
8. Suitable objects
| type | Issues that need to be addressed | Suggested arrangements |
|---|---|---|
| The school has taught senior secondary content in advance | The version of Form 3 is relatively shallow and does not meet the depth required by DSE. | Regular class, two lines of parallel processing |
| Plan to take M1 or M2 | Need to evaluate capability characteristics and strengthen the corresponding basis | regular shift Subject selection evaluation |
| Form 2’s foundation is unstable | There are still gaps in factoring or trigonometric ratios, which will drag down the Form 3 content. | Diagnose the breakpoint first, you may need to make up for it first |
| Band 1 secondary school students | The depth of the on-campus examination is higher than the course requirements and the progress is fast | Regular classes plus targeted review before on-campus exams |
| Target DSE High Level | It is necessary to establish writing standards and the ability to handle changing question types early | Regular class plus third level difficulty exercises |
| Gaps span multiple grade levels | The computing foundation of Form 1 or Form 2 is no longer stable. | First in Top-up courses, merge into regular class after stabilization |
Which schools do students come from?
Our students mainly come from Band 1 secondary schools in Kowloon district, including Diocesan Boys' School (DBS), Diocesan Girls' School (DGS), La Salle College, Maryknoll Convent School (MCS), Wah Yan College, Kowloon, Heep Yunn School and CKY, etc. Because students are concentrated in a small number of schools, we are able to understand which senior secondary units each school teaches in advance in Form 3, as well as the school-based test question types.
Explanation on "progress range": We do not list figures such as "a certain score rises to a certain score" or "a certain score in Form 3 is equal to a certain level in DSE" because the difficulty and scoring standards of the internal exams vary from school to school, and DSE does not have an official score line. A more reliable judgment is five skills Whether the level has been reached, and whether the rate of repeating wrong questions has decreased. Sharing from named graduates Testimonials and Results.
Form 3 maths tuition FAQ
Why does the scope of Form 3 mathematics vary so widely between schools?
Because quadratic equations, quadratic functions and images, variations, basic properties of circles, and continued polynomials are included in the official curriculum High School Core, but many Band 1 students learn to teach in Form 3 first. The actual range can vary by an entire semester, so tuition must be targeted at the school.
What should you look for when choosing M1 or M2?
Don't look at the school's scores (different schools are not comparable). Three abilities should be looked at: accuracy and patience in algebraic operations, ability to write complete reasoning, and situational translation ability. The first two items point strongly to M2, and the third item points strongly to M1. See details M1 M2 comparison.
Can Form 3 scores predict DSE grades?
Can't. The assessment methods of internal examinations and public examinations are different, and the standards of each school are also different; while DSE uses level-referenced score reporting, and the HKEAA never publishes the scores corresponding to each level. There is no basis for any forecast correspondence table.
What skills are required for Form 3?
Five items: Factorization is fast and accurate and can determine the method, all three solutions to quadratic equations can be used, equations can be deduced from images, reasons can be written in geometric proofs, negative exponents and fractional exponents can be operated proficiently. See Section 3 checklist.
Fees and schedules?
Tuesday 16:30–18:00 or Saturday 10:30–12:00, 1.5 hours per class, 4 classes per month, monthly fee HK$1,280 (average approximately $213 per hour). The first trial lesson is half price.
Is Form 3 the last chance for redress?
Not the last chance, but the lowest cost. The school progress continues after Form 4, and looking back at the gap in junior secondary means falling behind on current topics; Form 3 still has room to handle consolidation and connection at the same time.
If none of the three abilities are stable, which subject should I choose?
Don’t choose yet, just settle on Core. Core accounts for all DSE mathematics scores, and Extended Modules are additional subjects - it is usually not cost-effective to use the required scores to exchange for an barely manageable extended unit.
Does Form 3 TSA require special preparation?
Not worth the extra effort, but worth using as a diagnostic tool. TSA covers the basic part of junior secondary in three learning areas. If a certain area is obviously weak, that is the priority that should be dealt with before moving to senior secondary - because senior secondary uses the same set of areas.
What should I do during my summer vacation as a Form 4 graduate?
First, check the five skills one by one to find out the gaps, focus on repairing them for about 2 to 3 weeks, and then preview the introductory topics of Form 4 (functions and their graphs, exponential functions and logarithmic functions, and continued polynomials). If you have decided to take Extended Modules, you can first gain exposure to the basic knowledge areas of the subject. See Summer Courses.