DP Mathematics: Applications and Interpretation at GESS
At GESS, Mathematics: Applications and Interpretation (AI) offers students the opportunity to explore the practical application of mathematics in real-world contexts. This course emphasizes mathematical modeling, the use of technology, and problem-solving techniques to understand and interpret the world around us. Students are encouraged to think critically about the role of mathematics in various fields, such as economics, social sciences, and technology, and develop the tools needed to solve complex, real-world problems.

💠 Why Study Mathematics: Applications and Interpretation at GESS?
👉 Contextual Learning – Students engage with mathematics through real-world problems, exploring how mathematical models and tools can solve practical issues in fields such as finance, healthcare, and technology.
👉 Technology Integration – The course emphasizes the use of technology, allowing students to apply software and tools such as graphing calculators and statistical software to explore mathematical concepts.
👉 Practical Problem-Solving – AI students develop skills in mathematical modeling, data analysis, and problem-solving, equipping them to tackle real-life challenges with creative mathematical solutions.
👉 Real-World Application – The course is designed to help students see how mathematics is used in the real world, from optimizing business strategies to understanding environmental data and modeling future trends.

💠 Core Units
The curriculum is divided into five key topics:

• Number and Algebra – Analyzing numbers, solving equations, and understanding relationships between variables.

• Functions – Exploring the properties and behaviors of functions, including linear, quadratic, and exponential models.

• Geometry and Trigonometry – Investigating geometric shapes, transformations, and trigonometric relationships in two and three dimensions.

• Statistics and Probability – Understanding data collection, analysis, and probability models to make informed decisions and predictions.

• Calculus – Analyzing rates of change, integration, and the application of calculus in real-world contexts such as optimization.

💠 Assessment
🔸 Internal Assessment (IA) – Students complete a mathematical exploration, where they investigate a mathematical topic of their choice, applying mathematical modeling and analysis techniques.
🔸 Examinations

• Paper 1 (SL & HL) – Multiple-choice and short-answer questions testing students’ understanding of the core concepts in applications and interpretation.

• Paper 2 (SL & HL) – Extended-response questions that focus on problem-solving and the application of mathematical principles.

• Paper 3 (HL Only) – A deeper exploration of mathematical modeling and advanced topics, including data analysis and statistical inference.

💠 Mathematics: Applications and Interpretation at GESS: HL vs. SL
🔹 Higher Level (HL): HL students explore more advanced mathematical concepts, including complex modeling, deeper statistical analysis, and the use of calculus in real-world contexts. They also complete Paper 3, which focuses on more challenging mathematical applications.
🔹 Standard Level (SL): SL students focus on fundamental applications of mathematics, building a solid foundation in mathematical modeling, data analysis, and problem-solving with practical examples.

At GESS, Mathematics: Applications and Interpretation helps students develop critical thinking, mathematical modeling, and technology skills, preparing them for future careers in fields such as economics, data science, engineering, and healthcare.