What does the M2 curriculum cover? Topics in Mathematics Extended Part Module 2 and how to decide if it suits you
Mathematics Extended Part Module 2 (M2) is one of the extension components of the senior secondary mathematics curriculum. It is an elective, and its content is based on the Education Bureau's curriculum documents, including the curriculum interpretation and the learning content of senior secondary mathematics. M2 is not a compulsory part, so students need to consider it separately when planning their subject combinations. To decide whether M2 is suitable, three aspects should be considered together: interest in and commitment to mathematics, the time needed to handle the Extended Part workload, and how universities handle M1/M2 for admission. From 2024, all eight UGC-funded universities treat M1/M2 as an elective subject for general entrance requirements; M1/M2 results can also count as one of the five Level 2 subjects in HKDSE for the minimum entrance requirements of associate degree and higher diploma programmes. Starting from the 2027 examination, Section A of the Extended Part paper will change from 'short questions' to 'simple short questions'.
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- The curriculum content of M2 is based on the Education Bureau's curriculum interpretation and the Learning Content of Senior Secondary Mathematics.
- From 2024, all eight UGC-funded universities treat M1/M2 as an elective subject for general entrance requirements.
- M1/M2 results can count as one of the five Level 2 subjects in HKDSE for the minimum entrance requirements of associate degree and higher diploma programmes.
- Starting from the 2027 examination, Section A of the Extended Part paper changes to 'simple short questions'.
- To decide suitability, consider three aspects: curriculum documents, time allocation, and further education requirements.
The place of M2 in the senior secondary mathematics curriculum
The Mathematics Extended Part is part of the senior secondary mathematics curriculum and runs alongside the Compulsory Part. The Education Bureau website provides the curriculum document Curriculum Interpretation for Senior Secondary Mathematics: Module 2 (updated August 2018), from which students and parents can understand the topics covered by Module 2 rather than relying on hearsay.
The learning content of senior secondary mathematics is set out in the Supplementary Document to the Curriculum Guide for the Mathematics Education Key Learning Area: Learning Content of Senior Secondary Mathematics (2017); there is also the Mathematics Curriculum and Assessment Guide (Secondary 4 to 6) (updated December 2017), which explains the overall framework of curriculum and assessment. Students planning to take M2 should first read the names and structures of these documents to understand that they will be facing the curriculum of the Extended Part, not a repetition of the Compulsory Part.
- M2Mathematical induction1 + 2 + … + n = n(n + 1)2Prove it for n = 1, then show k gives k + 1
- M2Binomial theorem(a + b)n = nΣr=0 Cnr an−rbrFor a positive integer n
- M2Compound angle formulaesin(A + B)
= sin A cos B + cos A sin Bcos(A + B) = cos A cos B − sin A sin B - M2First principlesf ′(x) = limh→0 f(x + h) − f(x)hThe derivative from the definition
- M2Basic derivativesddx ex = ex
ddx sin x = cos xddx cos x = −sin x; ddx ln x = 1x - M2Definite integralsb∫a f(x) dx = F(b) − F(a)F ′(x) = f(x)
- M2Determinantsabcd = ad − bcAlso 3 × 3 determinants
- M2Scalar producta · b = |a||b| cos θa · b = 0 ⇔ the vectors are perpendicular
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Why pay attention to curriculum documents rather than just the course name
The three letters 'M2' do not themselves explain anything. What really determines the intensity and scope of study is the topics listed in the curriculum document and how the school arranges lesson time. The Education Bureau document points out that the medium-term measures mainly involve reviewing the curriculum content of the Extended Part, and that careful study is needed on the feasibility and effectiveness of dividing the content into basic and non-basic topics. This means that the organisation of curriculum content is still open to discussion, and students should not treat old notes circulating online as the final scope.
For students preparing to choose subjects, the practical approach is to first confirm the version of the curriculum document used by their school in that academic year, then compare it with the Education Bureau's curriculum interpretation to understand the learning requirements of each topic. Parents can also use this to judge whether their child's workload is reasonable.
How universities handle M1/M2 from 2024
Further education considerations are often key to choosing M2. Education Bureau information states that from 2024, for general entrance requirements, all eight University Grants Committee-funded universities treat M1/M2 as an elective subject. This means that M1/M2 have the same status as other elective subjects under general entrance requirements.
In addition, M1/M2 results can be accepted as one of the five Level 2 subjects in HKDSE for the minimum entrance requirements of associate degree and higher diploma programmes. For students with a marginal subject combination, this is worth considering when planning subjects. However, individual programmes may have additional requirements, and students should refer to the admission requirements published by each university and institution.
Changes to the examination papers in 2027
Changes in assessment methods directly affect revision strategies. Education Bureau information states that starting from the 2027 examination, Section A of the Mathematics Extended Part paper in the Hong Kong Diploma of Secondary Education Examination will change from the current 'short questions' to 'simple short questions'. The relevant assessment framework was uploaded to the HKEAA website in July 2024.
This change only concerns the description of question types in Section A of the Extended Part paper; it does not mean that the curriculum content has been reduced. When revising, students should still base their study on the learning content listed in the curriculum document and check the question type requirements against the assessment framework published by the HKEAA. If school teachers provide practice, it is advisable to first confirm whether the practice has been adjusted to the new question type description.
How to decide whether M2 is suitable for you
Education Bureau information mentions that the Curriculum Development Council's Mathematics Education Committee set up a dedicated committee in February 2023 to explore specific enhancement measures at the curriculum level to cater for learner diversity in M1/M2. This shows that differences in learning in the Extended Part among students are being addressed at the curriculum level, and are not an individual student's problem.
To decide suitability, you can use three steps: first, read the curriculum interpretation to see whether the topics in Module 2 are the kind you are willing to commit to over the long term; second, review your learning situation and time allocation in the Compulsory Part, as the Extended Part requires additional lesson time; third, check the entrance requirements of your preferred university programmes to confirm the role of M1/M2 in that combination. Writing down these three steps is more reliable than deciding on feelings alone.
There is no uniform answer to whether to take it. If a student has a steady interest in mathematics, is willing to check their mastery item by item against the curriculum document, and has considered further education requirements, choosing M2 is a choice that can be rationally assessed; if choosing only because 'it is said to be useful', it is better to first build up understanding of the curriculum content.
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How to revise before and after choosing
Learning in the Extended Part requires the curriculum document as a map. It is suggested to organise the topics listed in the curriculum interpretation into a checklist, marking each as 'understood', 'needs practice', or 'not yet encountered', and updating it every two weeks. This turns the abstract 'how well am I doing' into a checkable record.
For daily practice, it is better to use short sessions and frequent repetitions, focusing on one topic each time, and after finishing, writing down the categories of errors, such as conceptual confusion, calculation mistakes, or unclear reading of questions. Near the examination, check against the HKEAA assessment framework and question type descriptions to adjust the types of practice questions.
Sprout Classroom is a free Hong Kong mathematics learning website, offering short courses from Primary 1 to Secondary 6, explained by the cartoon online teacher Sprout. There is no tutoring centre and no human tutors. It is not a recognised institution of the Education Bureau or the HKEAA; students can treat it as a free supplementary practice resource, not as an authoritative source for curriculum scope.
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Frequently asked questions
What is the difference between M2 and compulsory mathematics?
M2 belongs to the Mathematics Extended Part, which is part of the senior secondary mathematics curriculum and runs alongside the Compulsory Part rather than replacing it. The curriculum content is based on the Education Bureau's Curriculum Interpretation for Senior Secondary Mathematics: Module 2 and the Learning Content of Senior Secondary Mathematics. Students should consult these documents to understand the actual topics, rather than treating the content of the Compulsory Part as the scope of M2.
What changes are there to the M2 paper starting from the 2027 examination?
Education Bureau information states that starting from the 2027 examination, Section A of the Mathematics Extended Part paper will change from the current 'short questions' to 'simple short questions'. The relevant assessment framework was uploaded to the HKEAA website in July 2024, and students should check the question type requirements against that framework.
How do universities consider M1/M2 in admissions?
From 2024, for general entrance requirements, all eight University Grants Committee-funded universities treat M1/M2 as an elective subject. M1/M2 results can also be accepted as one of the five Level 2 subjects in HKDSE for the minimum entrance requirements of associate degree and higher diploma programmes. Requirements for individual programmes should still be based on what the institutions publish.
Will the curriculum content be adjusted again?
Education Bureau information mentions that the medium-term measures mainly involve reviewing the curriculum content of the Extended Part, and that careful study is needed on the feasibility and effectiveness of dividing the content into basic and non-basic topics. At the same time, a dedicated committee is exploring measures to cater for learner diversity in M1/M2. Students should pay attention to updates in official documents and should not rely on unverified rumours.