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Junior College/IB Mathematics

Join us in our Junior College programme to unleash your fullest potential in becoming an elite of the elites.

Transition from the Secondary curriculum to Junior College is steep and challenging for many students. Our programme provides support to help our students cope with the demands of the curriculum and propel our students to achieve distinctions in their examinations.

Common Challenges JC/IB Students Face

1. Mastering Advanced Concepts & Rigorous Syllabus Requirements

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The jump to JC and IB Mathematics is steep, covering higher-level topics such as:

  • H2 Math: Complex numbers, vectors, functions and graphs, calculus (differentiation & integration), statistics, and probability.

  • H1 Math: Focus on functions, calculus, and statistical inference, with an emphasis on real-world applications.

  • IB AA (SL/HL): Algebra, calculus, probability, and statistical analysis, with an increased focus on mathematical exploration and real-world applications.

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Students must transition from basic problem-solving to higher-order thinking, proving mathematical arguments, and applying concepts in novel scenarios.

 

2. Challenging Problem-Solving & Real-World Application

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JC and IB assessments test students' ability to integrate multiple concepts into a single question. Many struggle with:

  • Vectors in H2 Math: Understanding dot and cross products, equations of planes, intersections, and 3D spatial reasoning.

  • Proving statements rigorously: Mathematical induction, inequalities, and trigonometric identities.

  • Interpreting and modeling real-world scenarios: Applying calculus, probability distributions, and statistics to practical problems.

  • Multi-step problem-solving: Tackling case-dependent vector problems or non-routine integration techniques.

 

For IB students, the Mathematics Internal Assessment (IA) requires independent research, structured reasoning, and real-life mathematical modeling.

3. Stringent Marking Schemes & Exam Time Constraints

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  • Method marks matter: Losing one logical step can significantly reduce scores.

  • Strict mathematical reasoning: Clear, structured answers are required in proof-based questions.

  • Time pressure: Completing complex calculations quickly while maintaining accuracy is essential.

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IB students also need to manage their exploration projects alongside timed assessments, making time management crucial.

 

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How Math Note Prepares Your Child for Success

1. Syllabus-Focused, Structured Learning for JC & IB

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  • JC H1/H2: We break down abstract concepts like Maclaurin series, differential equations, and hypothesis testing into easy-to-digest lessons.

  • IB AA: Our lessons align with IB assessment criteria, guiding students through mathematical explorations, probability distributions, and optimization techniques.

  • Real-world applications: We ensure students understand how concepts apply beyond the classroom, especially in statistics, calculus, and vector applications in physics and engineering

2. Emphasis on Higher-Order Thinking & Problem-Solving

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  • Strategic problem-solving techniques: Mastering differentiation applications in optimization, integration in kinematics, and probability distributions to tackle unfamiliar exam questions.

  • Vector Mastery: Developing structured approaches to solving plane intersections, shortest distances, and geometrical interpretations in 3D space.

  • Proof and reasoning skills: Developing structured approaches for trigonometric proofs, mathematical induction, and hypothesis testing.

3. Exam Strategies & Time Management for High Performance

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  • Step-by-step answer presentation: Ensuring full method marks for structured solutions.

  • Exposure to past-year and high-difficulty questions: Preparing for national and international exams with real exam-style practice.

  • Efficient exam techniques: Training students to complete lengthy calculations within strict time constraints while minimizing careless mistakes.

 

Why Parents Trust Math Note: Our Proven Approach

1. Small Class Sizes for Targeted Learning

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  • Personalized attention to address specific weaknesses in calculus, vectors, algebra, or statistics.

  • Tutors closely monitor progress, adjusting lesson pacing for maximum effectiveness.

2. Comprehensive Learning Materials Aligned with the Syllabus

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  • Concise yet detailed conceptual notes tailored to H1/H2 and IB Mathematics requirements.

  • Progressive question sets: Reinforcing understanding from fundamental concepts to advanced applications.

  • Challenging exam-grade problems: Strengthening students’ ability to tackle the most demanding assessments, particularly in vectors.

3. Results-Driven Structured Lessons

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  • Lessons progress from concept mastery to guided practice and real exam application.

  • Students refine problem-solving efficiency with exam-focused drills and personalised feedback.

  • Regular assessments ensure students are exam-ready and confident in applying mathematical concepts.

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At Math Note, we equip JC and IB students with the knowledge, critical thinking skills, and confidence needed to excel in their exams and beyond.

Topic Outline H2 Mathematics

  • Functions

  • Graphs and transformations

  •  Equations and inequalities

  • Sequences and series

  • Basic properties of vectors in two or three dimensions

  • Scalar and vector products in vectors

  • Three-dimensional vector geometry

  • Complex numbers expressed in cartesian form

  • Complex numbers expressed in polar form

  • Differentiation

  • Maclaurin series

  • Integration techniques

  • Definite integrals

  • Differential equations

  • Probability

  • Discrete random variables

  • Normal distribution

  • Sampling

  • Hypothesis testing

  • Correlation and Linear regression

Course Content

Each topic includes:

  • Comprehensive revision notes 

  • Detailed explanation of concepts and principles

  • Individualised explanation and support tailored to each student's requirements

  • Worksheets encompassing all subtopics within the same chapter

  • Practice questions on different level of difficulties.

  • Challenging revision questions

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​Each term includes:

  • Topical revision Papers

  • Mock Exam/Test Papers

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Students will:​

  • develop the ability to recognise similar type of questions

  • learn the technique to comprehend exam questions and solve accordingly 

  • acquire the logical reasoning skill to solve questions

  • recognise and apply Mathematical techniques accordingly in exam questions

9758 H2 Mathematics 2020 A-level Examination Syllabus

Paper 1

Duration: 3 hours

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Number of questions: 10 to 12 questions of different lengths and marks based on the Pure Mathematics section of the syllabus

There will be at least two questions on application of Mathematics in real-world contexts, including those from sciences and engineering.

Each question will carry at least 12 marks and may require concepts and skills from more than one topic.

Candidates will be expected to answer ALL questions

 

Marks: 100

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Weighting: 50%

 

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Paper 2

Duration: 3hours

Consist of Section A and B

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Section A (Pure Mathematics - 40 marks)

Number of questions: 4-5 questions of different marks and length.

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Section B (Probability and Statistics - 60 marks)

Number of questions: 6-8 questions of different marks and length.

There will be at least two questions in Section B on application of Mathematics in real-world contexts, including those from sciences and engineering.

Each question will carry at least 12 marks and may require concepts and skills from more than one topic.

Candidates will be expected to answer ALL questions

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Marks: 100

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Weighting: 50%

2019 GCE A level Result
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Enquiry About Our Programmes or Registration

Find out more on how can we help your child to excel in Mathematics!

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