Maintaining balance in the IB programme is the key to success. All universities have different prerequisites for different programs. You should RESEARCH program requirements of EACH program at EACH university of interest.
strong math students who wish to pursue university studies in engineering, physics and math programmes in selective universities
the SL Math Analysis and Approaches course ALSO meets the requirements of most engineering and computer-related programs in Canadian universities.
are not afraid of making mistakes and exploring new ideas
are able to solve difficult, unfamiliar problems under pressure
are able to make connections between math topics to real-life situations instinctively
are able to recall and apply math concepts learned from long long time ago to a completely unfamiliar situation/problem
are good at spotting patterns (number patterns, geometric patterns, etc.) - see also https://courseware.cemc.uwaterloo.ca/40
enjoys solving challenging math problems (think about Part C in Cayley contest, Galois contest)
Aside from the additional 80 HL hours to cover more course content, the HL course also requires candidates to take a 60-minute long paper 3. This exam paper contains two extended closed reponse problems that can relate to any parts of the syllabus. Past students find examiners using creative (surprising) ways to combine concepts from different topics. HL candidates must be risk-takers who can confidently face this paper with a smile.
(start watching from 2:49 or 4:04) Video
Source: https://www.revisionvillage.com/new-ib-maths-curriculum-information/
Questions about IB Math? Here’s how we can help! (August 22, 2019)
Senior Development Manager Marie Vivas shares a variety of resources on the new math courses and provides a recognition update.