IB Mathematics: Internal Assessments and Exploration

The International Baccalaureate (IB) Mathematics curriculum includes a unique component known as the Internal Assessment (IA) and an exploration task. These elements are designed to assess your understanding of mathematical concepts, your ability to apply mathematics to real-world problems, and your capacity for independent research. In this article, we'll explore the IB Mathematics Internal Assessment and the Exploration task, providing insights into their significance and tips for success.

 Understanding the IB Mathematics Internal Assessment

The IB Mathematics Internal Assessment is a significant part of your overall assessment in the course. It allows you to apply your mathematical knowledge and skills to real-world problems and evaluate your capacity to conduct independent mathematical investigations.

The Internal Assessment involves selecting a mathematical topic or problem, researching it, and then writing a report on your findings. The report should include the following components:

1. Introduction: 

Provide an overview of the problem or topic you are investigating and explain its significance.

2. Mathematical Background: 

Explain the relevant mathematical concepts and techniques that are necessary to understand and address the problem.

3. Mathematical Model: 

Develop a mathematical model or approach to solve the problem. This should involve the application of mathematical concepts and methods.

4. Data Collection (if applicable): 

If your investigation requires data, describe how you collected and used it in your analysis.

5. Analysis: 

Analyze the mathematical model and use it to solve the problem. Clearly explain your thought process, calculations, and methodology.

6. Conclusion: 

Summarize your findings, draw conclusions based on your analysis, and discuss the significance of your results in the context of the real-world problem.

7. Evaluation: 

Reflect on the limitations of your investigation, consider potential sources of error or uncertainty, and suggest improvements or further research.

 Tips for Success in the IB Mathematics Internal Assessment

1. Select a Relevant Topic: 

Choose a topic or problem that you find interesting and relevant. It should also align with the mathematical concepts covered in the IB Mathematics curriculum.

2. Plan Carefully:

Develop a clear plan for your investigation, including a timeline and milestones. This will help you stay on track and manage your time effectively.

3. Seek Guidance: 

Don't hesitate to seek guidance from your IB Mathematics teacher or supervisor. They can provide valuable insights and support throughout the process.

4. Conduct Thorough Research: 

Ensure you have a strong understanding of the mathematical concepts relevant to your investigation. Explore academic and credible sources to gather information.

5. Use Appropriate Tools: 

Depending on your investigation, you may need mathematical software or tools to assist with complex calculations. Make sure you're proficient in using them.

6. Organize Your Report: 

Structure your report logically with clear headings and subheadings. Make sure your writing is concise, well-organized, and free from errors.

7. Show Your Work: 

Clearly explain your thought process, calculations, and reasoning. This will demonstrate your mathematical understanding and problem-solving skills.

8. Revise and Edit: 

Review your report carefully, check for errors, and make revisions if necessary. A well-edited report enhances your presentation.

 The IB Mathematics Exploration Task

In addition to the Internal Assessment, the IB Mathematics curriculum includes the Exploration task. The Exploration is a mathematical research project that you undertake independently. It provides you with the opportunity to delve deep into a mathematical topic of your choice. You'll investigate, analyze, and apply mathematical concepts and techniques, and then present your findings in a report.

The Exploration is an excellent opportunity to explore a mathematical area of personal interest, and it showcases your ability to conduct self-directed research. As with the Internal Assessment, thorough planning, organization, and careful reporting are essential for success in the Exploration.


The IB Mathematics Internal Assessment and Exploration are integral components of the IB Mathematics curriculum. They provide students with the opportunity to apply their mathematical knowledge to real-world problems and engage in independent research. Success in these assessments requires careful planning, strong mathematical skills, and effective communication of your findings. By selecting a relevant and engaging topic, seeking guidance when needed, and presenting your work clearly, you can excel in these tasks and demonstrate your mathematical competence.