Comparison · IB Mathematics
The one Diploma choice that can rule out a degree, made on a form in Year 11.
Every IB student takes maths, and picks between two courses at two levels. Get this wrong in the direction of AI when a degree required AA and the consequence surfaces in Year 13, when it is expensive to fix.
| Analysis and Approaches (AA) | Applications and Interpretation (AI) | |
|---|---|---|
| Emphasis | Algebraic technique, proof, calculus | Modelling, statistics, real-world data |
| Calculator | Paper 1 is non-calculator | Technology used throughout, explicitly |
| Calculus | Central, and heavy at HL | Present, less prominent |
| Statistics | Present | Central |
| Proof | Yes, including induction at HL | Minimal |
| Suits | Students who like structure and manipulation | Students who like applying maths to situations |
This decides it for most students. Check the current published requirements for the actual courses on the list, since they change.
The trap is a student aiming at Economics who takes AI SL, then finds in Year 13 that their target universities specify AA HL. Switching that late is rarely possible.
Where the degree is genuinely undecided, AA keeps more doors open. That is an argument for AA as a hedge, not an argument that AA is better.
Because AI has less algebra, students assume it is easier. AI HL is a demanding course. The statistical content goes further than most students expect, the modelling questions are long and unstructured, and Paper 3 rewards a kind of open problem-solving that some students find harder than a page of calculus.
Students who pick AI to avoid difficulty tend to be the ones who struggle in it, because they wanted less maths and got different maths instead.
Once the course is settled, HL or SL should follow from two things: whether the degree requires HL, and how the student is actually performing now.
AA HL is the most demanding maths in the Diploma. It expects fluent algebra on arrival. A student who found IGCSE Extended Maths a stretch will find AA HL punishing, and taking it anyway usually costs points in maths and in the subjects that lose time to it.
A pattern worth naming: a student scoring a 5 in AA HL would in many cases have scored a 7 in AA SL, and few degrees distinguish between the two in a way that justifies losing two points. Ambition is not free.
HL to SL within the same course is normally possible early in Year 12, and schools handle it routinely. AA to AI, or the reverse, is harder because the content diverges quickly.
If a switch is being considered, get an honest assessment of whether the difficulty is the course or a gap underneath it. A student struggling in AA HL because their IGCSE algebra was never automatic has a fixable problem, and moving course does not fix it. See Maths tutoring and bridging from IGCSE.
7 in IB Maths SL.
My daughter's IGCSE English and Maths both got an A.
Bob is able to make learning fun and effective. He puts fun, structured learning and target oriented together in his lessons.
Nice learning environment. Tutor Bob sir is excellent :)
AA HL is the most demanding of the four options. Beyond that, they are hard in different ways: AA in algebraic manipulation and proof, AI in modelling and statistical interpretation. AI is not a soft option.
Widely, yes. The exception is courses that specify AA, which include most Mathematics, Engineering, Physics and Computer Science degrees and a number of competitive Economics courses. Check each course's published requirement.
Only early in Year 12, and it depends on the school's timetable. The content diverges quickly, so a late switch means covering material the class has already done.
Usually not. A 7 at SL is worth more to an application than a 5 at HL, and the time HL consumes comes out of five other subjects.
Tell us the subject and year group. We reply within 24 hours in English, Cantonese or Mandarin.
填寫表格，安排免費IB／IGCSE試堂（包括網課），我們會於24小時内聯絡。
Prefer to talk? 2781 5514 or WhatsApp +852 6155 6896