On a Sunday evening, Ananya has her laptop open, a half-filled notebook and a Maths IA proposal due on Monday. She has tried three ideas since lunch: the spread of prices at her mother's vegetable stall, the pattern of hostel Wi-Fi speeds, and a model of cricket run rates. Each one sounds promising for ten minutes, then stalls on a question she cannot answer. Her parents want to help but are not sure what 'exploration' even means in IB Maths.
The short answer is that a good exploration topic is one you care about enough to follow through, uses mathematics at the level of your course, and can be finished, written up and reflected on in the time you have. Test those three things before you fall in love with an idea, not after.
Start with a question you would keep asking
Many students begin with a branch of maths, such as trigonometry or probability, and work backwards from it. It usually works better the other way round. Notice what you already wonder about: how quickly a phone battery drains, why a queue at a bakery moves in bursts, whether the temperature in your street follows a pattern. Then ask whether that curiosity can become one precise question with a numerical answer.
A simple test helps. Can you state the question in a single sentence that names a specific model, dataset or comparison? 'How does the price of biryani vary across the city?' is too loose. 'How well does a linear model fit a chosen set of monthly rainfall records for Hyderabad?' is much closer to something you can investigate.
Make sure the maths matches your course
An exploration should show mathematical thinking at your level. A topic that needs methods you have not yet met will either be rushed or drift away from what you have learnt. A topic that only needs routine calculations can end up as a list of numbers with little reasoning behind it. Aim for the middle: a technique you already understand, applied in a context where you have to make and justify choices.
- Can you name the main technique before you start, whether that is regression, differentiation or a probability distribution?
- Is there data you can collect yourself, or a source you can trust and cite?
- Would your teacher agree that the level suits your course?
Plan around the time you actually have
Finishing matters as much as starting well. Work backwards from the submission date and build in room for data collection, a full draft, feedback and revision. Students often underestimate data gathering. A survey of forty people sounds quick until you chase the replies. Keep the scope small enough that you could still complete a sound exploration if the first plan falls through.
Signs a topic is too big
If your research question needs more than one dataset, two models and a simulation to answer, it is probably too big. Narrow it to one model and one clear comparison, and you will have more time to explain what your results mean.
Mistakes that quietly lower an exploration
Some weaknesses come up again and again when teachers review proposals:
- Topics so broad that the conclusion is vague.
- Ideas copied from a textbook example, with the numbers changed.
- Data that cannot really support the conclusion being drawn.
- No honest discussion of limitations or of what the results do not show.
None of these are fatal if you spot them early. They are much harder to fix in the final week.
What structured guidance looks like in practice
Plenty of students are stuck not because they lack ideas but because nobody checks their reasoning until the final draft. At INACADEMICS, our teachers are IB-certified and work in small batches of four to eight students, so each proposal gets a proper conversation. We begin with a short diagnostic and a plan for each subject, then review drafts against the published IB assessment criteria. Parents receive regular updates, so they can see where the work stands without needing to follow the mathematics themselves.
For practice with the kind of reasoning exploration tasks demand, RevisionPrep, our online IB question bank, offers over 150,000 IB-style questions and progress analytics. It builds fluency alongside the IA rather than replacing it.
Your next step this week
Tonight, write three candidate research questions, each in one sentence. Next to each, note the technique you expect to use and where your data will come from. Drop any idea that fails both tests. If you would like a second opinion on your shortlist, book free counselling with us, or message +91 9014010410 on WhatsApp. You can also visit us at 117, 1st Floor, Raichandani Business Bay in Kokapet, above Karachi Bakery.
Frequently Asked Questions
How can I tell if my IB Maths exploration topic is too easy?
A topic is probably too easy if the whole piece uses one routine method and the conclusion could be reached without any judgement calls. Look for places where you must choose a model, justify an assumption or interpret a result in context. Those choices are where the marks for reasoning and communication usually come from. Ask your teacher to review your proposal before you commit.
Can I use a topic I have seen in a textbook?
You can take inspiration from a textbook, but an exploration should be your own investigation. Change the context, collect or choose different data, and ask a question the example does not answer. Examiners and teachers can usually spot a rewritten worked example quickly, and it leaves little room to show independent thinking.
Does INACADEMICS help with the proposal and drafts?
Yes. Our teachers review proposals and drafts against the published IB assessment criteria, then give specific feedback on the reasoning, not just the presentation. Students work in small batches of four to eight, and parents receive regular updates tracked against each student's plan. Enrolment begins with free counselling by phone or a walk-in visit.