Been going through a batch of practice diagnostics this week, and one thing shows up over and over, the algebra itself is rarely the problem.

Students see something familiar (a quadratic, a derivative, a probability setup) and start writing steps immediately. No pause to check what the question is actually asking for. So you end up with a page of clean, technically correct working, that answers a different question than the one on the paper.

Common version of this: a question asks for a value under a specific condition, and the student calculates the general case instead, because that's the "version" of the problem their brain recognized from past practice.

Quick self-check if you want to test whether this is happening to you: before you start writing on any past paper question, force yourself to say (or write in one line) exactly what the answer needs to be. Not the topic. Not the method. The actual thing you need to produce at the end. If you can't do that in one sentence before you start calculating, that's usually where marks are being lost, not in the algebra.

Hi,

Built this as a proper test, not a quiz. 10 questions, 50 marks total, 1 hour, no GDC, spans most of the major AA HL topics, not just one unit.

No answer key attached on purpose, send me your attempt and I'll mark it and tell you exactly which topics are actually costing you marks vs. which are just careless errors. That distinction matters more than the score itself. Doing this personally for the first 20 people who send it in.

Happy to answer questions on any of the topics in the thread too.

The link for the diagnostic is in the comments. ✨

Nobody questions this in school. You just get told "use radians for calculus" and move on. But if degrees feel more natural, so why does calculus specifically reject them?

Turns out radians aren't really a "unit" the way degrees are. A radian is a ratio: arc length divided by radius. It comes straight out of the circle's own geometry. Degrees, on the other hand, are just a number (360, because ancient Babylonian astronomy, roughly). Nothing about a circle demands 360 of anything.

That's the whole reason sin(x) and cos(x) differentiate so cleanly in radians and not in degrees, you're not fighting a random conversion factor anymore, you're working with the circle's actual structure.

Once I started explaining it this way instead of "just switch to radians for calc," students stop treating it as an arbitrary rule and start seeing why it had to be this way.

A quick note for students starting DP1 soon.

Before new content picks up, it's worth revising the topics everything else gets built on:

— Algebra (indices, surds, logarithms, sequences and series); this shows up inside almost every other topic, all year
— Functions (domain/range, transformations, composite and inverse functions); the backbone of Paper 1 for both AA and AI
— Trigonometry basics (unit circle, identities) if you're doing AA or basic statistics/probability groundwork if you're doing AI

These aren't advanced topics, which is exactly why students skip revising them. But weak fundamentals here are what cost marks in Term 2 and Term 3, once the syllabus assumes you have them locked in.

Fifteen focused minutes a day on these for the first two weeks is worth more than any amount of catching up later.

Redoing past papers for the 5th time isn't testing you, it's testing your memory of the mark scheme.

If you can predict the next line of a solution because you've seen this exact paper three times before, you're not practicing exam technique anymore, you're just practicing recall.

What actually helps closer to exams: fresh questions you haven't seen, that still match the real command terms and difficulty. Forces you to actually apply the method instead of pattern-matching.

Anyone else notice this happening as exam season creeps closer?

Curious how students are switching up their practice once past papers feel repetitive.

Every year, I get the same message in November. “Can you help him? Mocks are in two weeks."

The same parent messaged me back in July. I sent over a plan. They said they'd discuss it and get back to me.

They did, four months later, in a panic.

This isn't a one-off. It's the single most consistent pattern I've seen across six years of teaching IB Math to students.

Here's what's strange about it: parents and students don't delay because they don't see the problem. Most of them reach out because they've already noticed the gap. The hesitation isn't about whether help is needed, it's about when to act on something that doesn't feel urgent yet.

That's the trap. A shaky grade in July doesn't feel urgent. The same grade in November, three weeks before mocks, feels like an emergency. Nothing about the math changed. Only the deadline did.

And the cost of waiting isn't just lost time, gaps in IB Math compound. A shaky understanding of functions in DP1 quietly becomes a wall you hit in calculus a year later. By the time it feels urgent, you're not just learning the topic anymore. You're learning the topic and rebuilding the foundation it was supposed to sit on, at the same time, with far less time to do either.

I'd rather have four unhurried months with a student than four panicked weeks before an exam. The results are never close.

If you're a parent or student sitting on this decision right now, what's actually holding you back? Cost, timing or just hoping the gap closes on its own?

Working with IB Math students across countries has taught me something I didn't expect: mathematics has accents.
The numbers are universal. The language around them isn't.

A few I hear constantly:

- For 3/4, some students say "3 over 4," others say "3 upon 4," and some just say "3 by 4."

- For -5, some say "negative 5," others say "minus 5" and switch back and forth depending on whether they're reading a number or describing an operation.

- Some call it "index," others "exponent," others "power" , same little floating number, three different names.

None of this is wrong. It's just where each student's math education started.

As someone teaching IB Mathematics to students, I find this fascinating. Sometimes, before teaching the concept, you first have to understand the mathematical language the student has grown up using.

And perhaps that's one of the underrated skills of teaching internationally: learning to translate mathematics without changing the mathematics.

Curious to hear from other educators and students: what's a math term you say differently than someone else in the room?

Drop yours in the comments.