IB Mathematics SL

IB Mathematics SL – Standard Level Course Overview

The IB Mathematics SL (Standard Level) course is designed to equip students with essential mathematical skills and conceptual understanding necessary for academic and real-world applications. This course covers a balanced range of topics across algebra, calculus, statistics, trigonometry, and functions, providing a solid foundation for higher education and STEM-related fields.

Aligned with the International Baccalaureate (IB) curriculum, the course emphasizes problem-solving, mathematical reasoning, and the application of theory to real-life scenarios. Students will develop both analytical and critical thinking skills as they engage with mathematical models and interpret data.

📘 Course Topics

1. Algebra

• Polynomials and rational expressions

• Solving linear, quadratic, cubic, and higher-degree equations

• Inequalities

• Exponents and logarithms

• Matrix operations: addition, multiplication, inverse, determinant

2. Functions and Equations

• Function notation, domain, and range

• Linear, quadratic, exponential, logarithmic, and trigonometric functions

• Solving functional equations, graphical solutions

• Transformations: shifts, stretches, and reflections

• Inverse functions and function composition

3. Circular Functions and Trigonometry

• Sine, cosine, and tangent functions

• Unit circle and radian measure

• Trigonometric identities and equations

• Applications in geometry and real-world contexts

4. Calculus

• Differentiation: product, quotient, chain rule; implicit and higher-order derivatives

• Integration: definite/indefinite integrals, techniques, and area calculations

• Optimization problems

• Solving simple first-order differential equations

5. Statistics and Probability

• Descriptive statistics: mean, median, mode, variance, standard deviation

• Probability theory: binomial and normal distributions, conditional probability

• Expected value and real-world applications

• Statistical inference: confidence intervals, hypothesis testing, regression analysis

🎯 What Students Will Gain

• A strong foundation in core mathematical concepts across multiple disciplines

• Enhanced problem-solving and analytical thinking abilities

• Confidence in applying mathematics to scientific, economic, and technical fields

• Preparation for university programs and IB assessments

• Algebraic problem-solving
• Function graphing and analysis
• Trigonometric applications
• Differentiation and integration exercises
• Statistics and data interpretation
• Probability simulations
• Mathematical modeling
• Real-world problem-solving tasks
• IB-style past paper practice
• Graphing calculator activities