IB Math AI SL

IB Mathematics: Applications and Interpretation (AI) – Standard Level (SL)

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IB Mathematics: Applications and Interpretation (SL) – Student Guide

🔎 What is this course?

IB Math Applications and Interpretation (AI) at Standard Level (SL) is designed for students who enjoy practical mathematics in real-life contexts. It focuses on applying mathematics to interpret data, analyze patterns, model real situations, and use technology to explore solutions.

This course is best for students who see themselves using math in social sciences, natural sciences, business, economics, design, or everyday problem-solving, rather than pursuing pure mathematics or engineering.

🎯 Aims of the course

By the end of the course, you should be able to:

  • Develop curiosity and enjoyment in mathematics.

  • Understand key concepts, principles, and patterns.

  • Apply mathematics to real-world problems and data.

  • Communicate mathematical ideas clearly using correct notation.

  • Use technology (like graphing calculators, spreadsheets, software) to solve problems.

  • Build logical, creative, and critical thinking skills.

  • See connections between mathematics, other subjects, and global issues.

🧮 Topics covered in SL (with teaching hours)

  1. Number & Algebra (16 hours)

    • Arithmetic & geometric sequences and series

    • Financial applications (loans, interest, depreciation)

    • Exponents & logarithms (basic intro)

    • Approximation, rounding, and error bounds

    • Solving linear equations and systems (up to 3 variables)

  2. Functions (31 hours)

    • Graphing and interpreting functions (linear, quadratic, exponential, logarithmic, trigonometric, etc.)

    • Domain, range, transformations

    • Modelling real-life data with functions

    • Inverse functions

  3. Geometry & Trigonometry (18 hours)

    • Geometry in 2D & 3D

    • Right-angle and non-right-angle trigonometry

    • Radians and unit circle basics

    • Sine/cosine rules, area of triangle formula

    • Vectors (2D/3D applications)

  4. Statistics & Probability (36 hours)

    • Collecting, organizing, and displaying data

    • Measures of central tendency (mean, median, mode) and spread (variance, standard deviation)

    • Probability rules, Venn diagrams, tree diagrams

    • Discrete & continuous probability distributions (including binomial and normal distribution)

    • Correlation and regression

  5. Calculus (19 hours)

    • Limits and introduction to derivatives

    • Differentiation rules for basic functions

    • Applications of derivatives (tangents, optimization, rates of change)

    • Introduction to integration and area under curves

🛠️ The Toolkit (30 hours)

Throughout the course, students also work on:

  • Mathematical investigations and problem-solving.

  • Using technology for modelling and data analysis.

  • Developing reasoning, inquiry, and interpretation skills.

This includes the Internal Assessment – Mathematical Exploration:

  • A 12–20 page written project on a math topic of your choice.

  • Worth 20% of the final grade.

📝 Assessment overview (for SL)

  • Paper 1 (1½ hours) – Short- and long-response questions without calculator. (40%)

  • Paper 2 (1½ hours) – Short- and long-response questions with calculator. (40%)

  • Internal Assessment (Exploration) – Individual project. (20%)

💡 Who should take this course?

This course is ideal if you:

  • Prefer practical and applied mathematics.

  • Are interested in fields like business, social sciences, natural sciences, economics, or design.

  • Want to strengthen your data analysis, modelling, and interpretation skills.

  • Are not planning to specialize in mathematics, engineering, or physics at university (those students should consider Math: Analysis & Approaches instead).

📈 How I Can Help You Succeed?

Many students find IB Math AI (SL) challenging because of the mix of theory, applications, and heavy use of technology. With the right guidance, it becomes much easier.

As an experienced IB Math tutor in Dubai, I provide:

  • Clear explanations of difficult concepts.

  • Step-by-step solutions to past paper questions.

  • Exam strategies to maximize marks.

  • Personalized support for the Internal Assessment (IA).

👉 With my tutoring services, you can build confidence, improve your grades, and get the best results in IB Math AI SL.

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