IB Math Extended Essay Topics: 20+ Ideas for Inspiration

September 3, 2022

math extended essay topics

Do you feel stuck on searching for and choosing the best IB Math Extended Essay topics? Or maybe you already have a topic for consideration but it isn’t viable enough to fit the scope of the assignment?

You’ve come to the right place.

In this guide, we’ll give you 15+ IB Math ideas that you can use as inspiration to come up with your own topic or modify and investigate further in your extended essay.

What’s the Purpose of IB Math Extended Essay?

An extended essay in mathematics gives you the chance to demonstrate an understanding of any part of the subject.

You can give an expression on the beauty of mathematics in geometry or fractal theory, the elegance of mathematics in the proving of theorems, and the origin and subsequent development of a branch of mathematics over a period.

The extended essay also allows you to demonstrate the link between the different branches of mathematics and the powerful structures that enable many different problems to be solved by a single theory and the way in which mathematics is applied to real-world situations.

Your essay requires a well-defined and focused research question. An abstract is no longer necessary in an extended essay, but you’re welcome to include it if you believe it will summarizes your strategy to solving the research question and your findings

Math Extended Essay Writing Assistance

While Math opens up an opportunity to explore complex issues beyond the IB Diploma course, the subject can be extremely challenging for some IB students.

If you’re one of the students who chose Math for the Extended Essay project but you find the subject challenging, you can get help online from experts in the subject.

Help for Assessment offers the most comprehensive Extended Essay help in Mathematics, even on a topic that you would consider too complex to handle. With our help, you’ll find complex concepts easy to understand, not to mention you’ll get your Math assignment completed on time.

We understand that Math tasks can be costly and involving. However, we’ve made our writing service as affordable as possible, so you can get professional writing help.

We can write you first draft before the first reflection session with your supervisor and equally help you fine-tune the last draft for the final submission.

IB Math Extended Essay Topics

The following are examples of IB Math Extended Essay topics that you might find worth investigating further: 

  1. What is the return percentage of a certain three-reel slot machine?
  2. What are the alternatives to Euclidean geometry and what are their practical applications?
  3. Comparison of population growth models for Country X for the past n years, with projections for the future.
  4. The exploration of geometric series in musical instruments, such as the fret position on a guitar
  5. How many convex polygons can you construct from seven tangram pieces?
  6. An examination of the alteration of a message's truthful substance during transmission between persons
  7. Is there a connection between the golden ratio and human’s perception on natural beauty, with a focus on the human face and form?
  8. Is there a relationship between SAT scores and school test results/GPA?
  9. Leibniz and Newton independently developed calculus at around the same time. Compare their techniques and analyze which notation is currently more prevalent.
  10. What is the Binomial Theorem, and how has it contributed to human history?
  11. Complex number problem-solving techniques: What types of real-world issues do complex numbers assist solve?
  12. Applying Newton's Forward Difference Formula to predict the number of triangles created by subdividing the sides of an equilateral triangle n times.
  13. RSA Public Key Cryptography's use of modular arithmetic and huge prime integers to achieve anonymity
  14. Investigating the link between Pascal's Triangle and the Fibonacci sequence
  15. How can mathematical modeling that employs differential equations determine population growth patterns for a predator and its prey?
  16. How can the population of cells be determined throughout time? Which mathematical model approximates an actual experiment more precisely?
  17. A study of Riemann Sums (conventional integration to get areas) and Numerical Integration
  18. Vedic Mathematics: an investigation of its effectiveness and exploration of its applications
  19. How are Laplace transforms utilized in the solution of second-order differential equations?
  20. A statistical examination of the impact of background music on pupils' short-term memory ability
  21. Analytical and geometric formulations of parabolic and cubic Bezier curves as used in computer graphics software
  22. A quantitative analysis of the efficacy of two herbs for treating impetigo skin condition
  23. A study of the nature of beats and the relative consonance of pure-tone dyads
  24. The link between logical-mathematical intelligence and academic achievement at the undergraduate level
  25. A study of the link between a bond's coupon rate, yield to maturity, and its clean price
  26. Using the addition of sine curves to analyze the harmony of Chinese and Western musical scales
  27. The correlation between students' attitudes toward mathematics and their mathematical performance
  28. How near is the approximation of the Taylor Series to the original function
  29. What criteria determine whether the movement of employees on a building site achieves "equilibrium"?
  30. The efficacy of an English Tuition Program in enhancing the English skills of participants
  31. A statistical examination of the causes of fatal traffic accidents throughout the holiday season
  32. Does studying a third language have any influence on the short-term memory retention of lower secondary students?

Keep in mind that this list is not exhaustive by any means. So if none of these topic ideas appeals to you, doing additional research can make a difference.

Related Reading

Some Tips to Help You Choose a Relevant Math EE Topic

You can write an extended essay in math on any subject with a mathematical focus. Because IB doesn’t limit the assignment to mathematical theories, you may select mathematical themes from engineering, sciences, and the social sciences.

Statistical analyses of experimental results from other disciplines are also appropriate, as long as they focus on the modeling method and address the limits of the results.

A topic chosen from the history of mathematics may also be acceptable, provided you bring out a clear progression of mathematical growth.

Focusing on the lives of mathematicians or their personal rivalry would be irrelevant and would not score highly on the grading criteria.

Notably, the evaluation criteria provide points for the nature of the inquiry and the extent to which reasoned arguments are suitable for a research issue.

You need to avoid selecting a topic that generates a trivial research question or is insufficiently concentrated to permit suitable presentation in an essay of the right length.

Typically, you will have to challenge yourself to either extend their knowledge beyond the Diploma Program course or apply techniques learned in their mathematics course to the modeling of an adequately chosen topic.

Final Thoughts

One of the most important thing to keep in mind once you find a suitable Math EE topic is that you will be working on an essay, not a research article for a journal of advanced mathematics.

Also, no finding, no matter how remarkable, should appear in your work without proof of your actual understanding of it. 

About the author 

Antony W is a professional writer and coach at Help for Assessment. He spends countless hours every day researching and writing great content filled with expert advice on how to write engaging essays, research papers, and assignments.

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