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IB Mathematics SL Tutoring – Course Overview & Study Guide

IB Mathematics SL Tutoring – Course Overview & Study Guide

  • 2025-06-01

IB Mathematics SL (Standard Level) is designed to develop students’ foundational mathematical skills, logical reasoning, and real-world problem-solving abilities. It is ideal for students who do not require higher-level mathematics for university but still wish to build a strong grasp of core mathematical concepts. Through key topic instruction and practical applications, the course helps students build analytical thinking and data analysis skills—preparing them for university studies in social sciences, business, and more.

1. Course Objectives

IB Math SL aims to help students:

  • Master core mathematical concepts: including algebra, functions, geometry, statistics & probability, and calculus.
  • Develop logical and critical thinking skills: by solving mathematical problems and improving analytical reasoning.
  • Apply mathematics in real-world contexts: through modeling, data analysis, and interpretation of practical situations.

2. Curriculum Structure and Content

The Math SL curriculum involves 150 hours of instruction and covers five core topics:

(1) Number and Algebra

  • Exponential and logarithmic operations
  • Binomial expansions
  • Sequences and series (arithmetic and geometric)

(2) Functions

  • Linear, quadratic, exponential, logarithmic, and polynomial functions
  • Graph transformations and analysis

(3) Geometry and Trigonometry

  • Trigonometric identities, sine and cosine rules
  • Radian measure and angle calculations
  • Introduction to vectors (2D and 3D)

(4) Statistics and Probability

  • Discrete and continuous data types
  • Descriptive statistics: mean, variance, standard deviation
  • Probability concepts: tree diagrams, conditional probability, and normal distribution

(5) Calculus

  • Derivatives and differentiation techniques (including chain rule)
  • Integration and applications (area under curves, volumes of revolution)
  • Applications in kinematics and motion

3. Assessment Breakdown

IB Math SL assessments are divided into External Examinations (80%) and Internal Assessment (IA) (20%):

External Exams

  • Paper 1 (30%)
    • Non-calculator paper
    • Tests core understanding and problem-solving skills (e.g., algebra, functions, calculus)
    • Includes short and structured questions
  • Paper 2 (30%)
    • Calculator allowed
    • Focus on applied problems (e.g., data analysis, modeling)
    • Real-world scenarios such as economics or physics-based questions
  • Paper 3 (20%)
    • Extended-response questions based on real-life contexts
    • Emphasizes mathematical modeling and problem-solving using course knowledge

Internal Assessment (IA – 20%)

Students must complete a Math Exploration, which involves:

  • Selecting a topic of personal interest (e.g., “Optimal Investment Strategy” or “Projectile Trajectory Analysis”)
  • Conducting independent research with clear use of IB Math SL knowledge
  • Writing a 6–12 page report demonstrating reasoning, calculation accuracy, and real-world application

4. Ideal Students for IB Math SL

Math SL is suitable for students who:

  • Do not require advanced math for their intended university major (e.g., social sciences, arts, business foundations)
  • Prefer a balanced workload and want to avoid the intensity of Math HL
  • Enjoy real-life applications of math such as data analysis, modeling, and statistics

5. Study Tips for IB Math SL Students

  • Strengthen your basics: While SL is less demanding than HL, mastering core concepts (like function transformations and calculus) is still essential.
  • Use your calculator effectively: Papers 2 and 3 allow graphic calculators—proficiency improves speed and accuracy.
  • Take the IA seriously: Choose a topic related to everyday life, apply course knowledge deeply, and structure your analysis clearly for top marks.

📌 Note: This information is for reference only. For official curriculum details, visit the IBO website.
This article is AI-assisted and edited by Prof. Chan Kwok Wai. Responsible Editor: Kong Yik Leung.