The Definitive Guide to Choosing the Best IB Mathematics IA Topics

August 19, 2022

ib math internal assessment topics

Imagine you were fascinated by the shape of nuclear reactor chimneys, called Natural Draft Cooling Towers. What an odd shape, you think (a hyperboloid, if you’re wondering). But how would you find out why they are so shaped? As it turns out, mathematics is a beautiful, fascinating language you can use to describe something like that. And when you explore such a personally fascinating subject within certain regulations of the IB, you will be writing your mathematics internal assessment.

As you can deduce, the IB math internal assessment is all about exploring mathematically a subject of personal interest. How well you do that and present your process determines how many marks out of the total 20 you will receive. However, most students live in mortal fear or both the IB math exam and the internal assessment.

If you are one such student, fear not. This detailed guide will teach you how you need to approach the math assessment by choosing the right topics, as well as how to make a top-grade essay. You can also get further IB guides in full detail here on our blog.

The team at Help for Assessments is also ready to give more than just passive “how to” assistance. Let us take the IB internal assessment nightmare away from you and write the essay for you. Our highly skilled and experienced team assures you of top-notch work, original and flawless in research and quality. All these at the best rates, so don’t hesitate to give us your order. We will even give you 25% off your first order to get you started.

Do you still want to push on? This article will give you all you need to choose suitable topics for your maths IA, explore what the test is about, and finish with some fresh sample idea topics for the math IA.

Struggling to pick your Math IA or AA topic? 

What the IB Maths Internal Assessment Topics All About

The mathematics internal assessment is about exploring the math behind a topic of interest, then presenting the whole thing in the form of a short thorough report. Ideally, the topic should be completely original and serve to prove that you have a firm grasp of mathematical concepts, principals, and knowledge.

According to the IA mathematics rubric, the IBO is looking for the following in a good essay:

  • Communication: Communication measures how well you organize and explain your exploration. It must be logically developed and coherent. The essay generally should have three parts: an introduction, the rationale or explanation, and a conclusion.
  • Mathematical presentation: You need to use appropriate mathematical languages, with the right formulae, diagrams, tables, charts, models, and other figures as needed.
  • Personal engagement: This is a measure of the level to which the student interacts with the subject matter on a personal level. It is more than being original or authentic with the idea - it has to stem from some experience in your life or one you have direct links with.
  • Reflection: This criterion assesses how the student reviews and analyzes the problem and its solution in the exploration.
  • Use of mathematics: This is self-explanatory - how well does the student use the concepts, knowledge, and skills gained in their respective mathematical level so far?

Thus, the maths IA is about displaying your ability to apply abstract concepts and knowledge in math to a real-world situation and communicating clearly to your audience. In this case, the audience is your instructor/professor, and writing a good IA essay starts from picking the right topic.

Not sure whether to order Math IA or AA? Click below to see our latest samples! 

What Makes a Good Math IA Topic

A good topic for the IB mathematics internal assessment is one that allows you to fulfill all the above requirements. It will help you explore an area of interest deeply and exhaustively, while at the same time providing an avenue for you to put your acquired mathematical skills into good use.

If you are to be successful in these goals, your essay should have certain important qualities. These are the same qualities your topic should have:

  • Simple and clear language: The rule of thumb is that everyone in your age group (your classmates) must be able to understand your essay. Thus, your topic needs to be simple. A complex subject will be hard for you to write, tough to break down into manageable bites, and ultimately cost you valuable marks.
  • Concise and well-focused: The essay will be 6-12 pages in length, so you need to have a topic that can be exhaustively examined in that range. As is said in other IB assessments, the topic should be specific but not too narrow that it restrains or limits you. For example, our chosen problem of the nuclear reactor exhaust steam funnels could be confined to modeling the hyperboloid shape of the cooling towers and start from there.
  • Interesting: The chosen topic needs to be exciting enough to elicit not only your interest but that of your audience. It needs to be one that is naturally intriguing to warrant a 12-page study into its underlying mathematical principles.
  • Fresh: By fresh, we mean a relatively unexplored topic. Too many students do game theory, but that topic has been gone through by thousands of students in decades of consecutive years. Don't do that - go for something fresh, or seek to add an extra twist to something that already exists.
  • Has clear connections with one or more mathematical fields: Your chosen topic should be based on a given mathematical area, or rely on a few of them. Drawing connections between different areas, e.g. Calculus and geometry will impress your instructor. However, always keep it within your attained academic level.

With the goal in mind, it's time to look into the process that precedes choosing a perfect math IA topic.

How to Choose a Mathematics IA Topic

Most math gurus insist that math is not just an abstract subject. It has real and effective links to the real world, and that is what the whole point of the internal assessment is.

To choose the topic, start with the real-life experiences to help you pinpoint an area of math you want to explore.

The following steps will help you:

  • Brainstorm: The first hurdle is to find a general area of interest, which ideally should be related or founded on your interests. For example, if you love medicine and want to study it in the future, you can start with a certain field that fascinates you. Future lawyers, businessmen, engineers, and IT enthusiasts can all find something intriguing to pursue.
  • Narrow down: With the first few ideas, the next step is to find a topic that has a lot of mathematical potential. You will find that reading lots of journals, watching videos, and talking with friends gives you lots of seed ideas for this stage.
  • Evaluate: Evaluate each of the ideas you have on the strength of the qualities above. Is it relevant? Simple enough for your level? Exciting? Will it be useful to you in your career or your life?
  • General research: General research into the mathematics involved in your chosen topic will help you determine what you need to learn and determine how feasible your topic is. The point here is to find out if the topic is right for you, and whether you can find the right material to base your exploration on.
  • Come up with a working research question: Every IA needs to have a research question to streamline the exploration and provide direction to the essay. As with the topic, the research question needs to be specific but just wide enough to give you enough material to fill the said 6-12 pages.

Or the other hand, perhaps this topic would be better suited to the Physics IA? It’s up to you!

Do you need help with your Math IA or AA? 

30+ Math IA Topics for SL and HL Levels

We’ve been writing IB Math IA assignments for over 5 years. From a professional academic writing assistance point of view, the number one challenge that many IB learners have is topic selection.

On the surface, Math IA is about investigating concepts within a topic of interest and presenting your findings in a 2,200-word report.

In practice, coming up with an original topic, which you can investigate to prove that you have a strong grip of mathematical concepts and principles can be somewhat challenging.

In this section, we put together a list of 20+ IB Math IA topic for SL and HL to help you understand what good topic looks like based on the selection criteria that we’ve shared in this guide.

  1. How accurate are mathematical predictions for events with a low likelihood but huge impact?
  2. Considering the risks involved in making decisions based on incomplete or conflicting information might make us more cautious.
  3. How do normal numbers fare when compared to random number generators?
  4. Create a virtual version of the disaster at Chernobyl and its subsequent effects on Japan.
  5. Do the numbers that make up a Pythagorean triple follow any kind of regularity?
  6. Does a high degree of association exist between BMI and GDP per capita?
  7. What kinds of character combinations are best for online safety in light of brute force attacks?
  8. To what extent does Bayesian probability work in a real-life setting and is it possible to add complexity to it?
  9. How do those involved in pyramid schemes or other forms of fast-paced fraud use mathematics to amass huge fortunes so quickly?
  10. Determine the climber's fall severity by measuring the distance from the final point of connection.
  11. Is it feasible to forecast the outcome of athletic events using a Poisson model and some familiarity with Excel?
  12. How long would it take someone to try to guess someone else’s password? What's the deal with adding symbols and digits to a password?
  13. How can we identify individual tones using sine waves of different frequencies?
  14. Is there a way to utilize arithmetic to predict how contagious diseases like measles will move across a population?
  15. Do large transfer window expenditures result in a higher victory percentage a sports season?
  16. With what method of voting can the most people be certain that their preferred candidate will win the election?
  17. A study of the geometric sequence's connection to the camera's aperture
  18. How well do you think integration would work to determine the gini coefficient for a sample of nations, allowing you to make reliable comparisons of the economic inequality between them?
  19. Find out if there's a correlation between music and fractions, or see if this series converges.
  20. If a fatal flu virus were to sweep the globe, how long do you think it would take humanity to perish?
  21. Examine the ratios of frequencies between notes to see why some do not sound good together while others do.
  22. What kinds of numbers have the most bearing on a basketball team's success?
  23. A look at how uncertainty about the future might make people more risk-averse and how asymmetric information plays a role in this phenomenon.
  24. The ideal amount of force and launch angle for a javelin or shot put world record throw.
  25. The gravitational attraction of other things in space causes the orbits of planets and comets to be elliptical. Look into the field of space exploration!
  26. Study the numbers behind the processes of heredity and natural selection.
  27. How can we utilize computers to learn more about sequences?
  28. Is it possible to employ computational methods in addition to pure mathematics to find an answer?
  29. Applying the mechanics of fast-moving spacecraft to the problem of interstellar travel
  30. Applying quantum mechanics, we may examine the universe's innate probabilistic character.
  31. If it takes the tortoise twice as long to cover the same distance as a runner, then there's no way the runner can catch up to it no matter how fast he runs.
  32. Using tools from probability and game theory, researchers investigate the most effective bluffing techniques for poker.
  33. Does the time it takes a kid to arrive to school depend on how far they live from the school?
  34. Check out the Guardian Stats to see if the top teams in the league are also the ones that commit the most fouls.

Tips to Help You Write the Best Math IA Assignment

The following tips can help you write a more comprehensive IB Math IA assignment:

1. Choose a Topic You’re Interested In

Since you will be working on your Math IA for a few months, it would be preferable if you choose a topic that genuinely interests you, rather than one that is simply required.

2. Use a Simple Language

Ensure that language is exact, clear, and succinct. Write your IA in a way that anybody of your age can read and understand.

Choosing a complicated topic may result in a disorganized and difficult-to-understand IA, so try to avoid doing so. Also, avoid writing lengthy accounts of your own experiences. This is the requirement for "Communication" on the math IA.

3. Use Appropriate Terms

Use appropriate mathematical notation and symbols throughout your IA report.

To properly format all mathematical symbols, use MathType or a comparable program for mathematical expressions. Doing so will enhance clarity and will get you easy points for "Mathematical Presentation"

4. Reflect

IB also requires you to reflect on your findings in the report as part of your IA. Comment (thoughtfully), but avoid paraphrasing the results.

Describe some of the insights you've acquired from the IA mathematical conclusion. The greater the depth of your contemplation, the more points you will receive for the "Reflection" criterion.

Do You Need Help With Your IB Math Internal Assessment?

The mathematics internal assessment requires an astute mind to complete, and choosing the topic is the least of your worries. Many students are scared stiff on its account, but you don’t have to be. Help for Assessment is here to help you pass the internal assessment in maths, and not just because of this guide.

The team here is made up of top IB experts who will do the internal assessment for you upon request. All you have to do is leave us your order here, and we guarantee you top grades and 100% original, impeccably researched, and fully proofed work. Of course, confidentiality is guaranteed, no matter where you come from. 

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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  1. I need help finding a math ia topic related to cars as its my interest but i am very confused and need some guidance

    1. Hello Muhannad.

      Thanks for reaching out. We’re happy to help. One of our representatives will get back to you via e-mail shortly. Thank you.

  2. I need help in deciding a viable topic for my math is. I am very interested in cryptocurrency, the stock market, cricket, exercise, video games. Anything, but guidance would be highly appreciated.

    1. Thanks for reaching out. We’re happy to help. One of our representatives will get back to you via your email for further assistance

  3. Hi there, can you provide some help regarding math IA topics? I am a bit interested in the billiards topic and the math behind billiards, is the mathematics in billiards hard? or else I would like to use your help to choose a topic that has easy maths as I am an application student standard level, thank you for your coordination.

    1. Thanks for reaching out. We’re happy to help. One of our representatives will get back to you via your email for further assistance

  4. I am not really sure where to start for this IA. I am interested in the piano and music, however there have been past IAs on that. I don't know what else to think of.

  5. Hi, I am Dina
    I need help in deciding my IA topic.
    I'm more concerned with the medical field and pharmacokinetics of medicines.

  6. Hi, I would like to engage Mr. Anthony W for IB IA topic for Math AA HL for my son. Appreciate if you can get in touch wtih me at the earliest.

  7. Hi,
    I need help in finding a topic about my math IA, I'm interested in the statistics and probabilities of winning a sneaker raffle. But I don't know how to do the maths of it.

  8. Good day,
    I am currently struggling to come up with a math IA. I would like to do my exploration around medicine or something relating to careers. I currently have a few ideas about what I want to do, but I am in need of some assistance.

  9. I need a math IA topic that is related to statistics and could include something that is easy to find data for. I was thinking traffic flow, yet I don't know where to get the data from.

  10. Hi! I need some assistance in finding an IA topic and the math. I am thinking of how essential immigrant workers are to the community and how without them especially during the pandemic, affects the food industry. I am not sure what kind of math I would have to be doing. Can you please help me?

  11. i clearly don't know what to choose for my IA
    I don't really have some favorite stuff
    but I play basketball by myself not within a team
    or I thought if I can do an IA about coffee because I drink a lot of different types of coffee
    but in the same time I want a great IA that interests the person that is gonna read it

  12. I need help finding a math ia topic related to keyboards or computers related. I was wondering if you can reach back to me immediately and we can talk about it? Thank you

  13. Hello, I want to write a maths IA about Scouts because I was a scout and I am interested in scouts. I am finding it difficult to relate to maths and to find a research question. Do you have any suggestions for me?

  14. hello! im currently struggling on finding my math IA topics and the due date is already getting near. can you please help me and give some guidance?

  15. Hello, I want help in math aa IA. I am interested in cooking so please tell me something related to it.

  16. Hello, I am not sure what to choose as a topic for my math IA. I am a standard level student and math is not my strength so something where knowledge of simple maths is enough would be perfect. I am very interested in medicine so something in this area would suit my interest but I don't exactly know how to combine it with maths. Also, maybe math behind billiards but I don't know if this is too complicated for me.

  17. I want to do a AA math IA in Statistics or logarithms but I don't know what topics to do or where to start.

  18. Hey, I need help in finding a maths IA topic. I am interested in cars, technology, and cricket. Could you please help me

  19. Hi I need help with finding a math IA topic. I'm interested in something along the lines of differentiation or volume of revolution. I'm also really interested on the knitting idea mentioned above but could not see how IB math would relate to that. Can you help me out? Thanks.

  20. i need help picking a maths IA topic related to zeno's paradox and infinite geometric sequences, I need an example that differs Achilles and the Tortoise. Otherwise a topic in medicine would also be really interesting.

  21. Hello Everyone,

    We've updated this guide with 30+ topic ideas in Math IA for SL and HL levels for inspiration. We hope this guide continues to be helpful.

  22. Hi,
    I really like chess. Do you think I could cerate an IA topic linking chess and math ? Could you help me pls?

  23. Hi, I need help to know which theories or mathematics I could use to know what would be the number and shape necessary to cover a surface with various mosaics and (if possible) without having to break any.

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