General Overview
Navigation
Math Guide (by Nicholas#4790)
Algebra Review For The IB (by AdventurousAndrew#7499)
IA/EE
Examples
Math IA examples from IBO Publishing, with examiner's comments
Math SL IA on Solids of Revolution - scored 18/20 (from Allan#3164)
Math HL IA on Keplers' Laws - scored 16/22 (from CreativeUsername1#6400)
Help
Length
The official IB guidelines say the IA should be approximately 12-20 pages but the most important thing is the mathematical content (i.e. it's ok to be around that ballpark).
Ideas
In my experience, the best ideas come from looking at something you are actually interested in, not necessarily something math related, it can be something in your real life, but make sure you’re actually interested in it. So now that you have your thing, get more specific on what you want to do with it, like a specific end goal. Then from there you can easily work backwards and find out what math you need to do in order to get to your end goal. (by @kallak#4644)
Documents
Math HL IA Criteria → very similar to Math SL Criteria; however, Criterion E differs slightly.
List of Notation → what symbols, characters, words etc you should use to describe mathematical properties and operations.
![](https://www.google.com/images/icons/product/drive-32.png)
![](https://www.google.com/images/icons/product/drive-32.png)
YouTube Videos
Welch Labs
Complex Numbers YouTube Playlist - Useful for all HL levels of math.
3 Blue 1 Brown (3b1b)
The IB syllabus is fairly strong overall in math, but a lot of things aren't explained fully. The underlying visual intuitions aren't explained well for calculus, nor are they well explained for vectors, at least in my experience. A youtuber known as 3blue1brown has two series that I highly recommend. They are called "essence of linear algebra" (playlist) and "essence of calculus" (playlist). These provide excellent animations and intuitive explanations of what are, quite frankly, confusing concepts. Watching videos is an excellent supplement to learning. However, it is not a replacement. Watch these, learn the underlying ideas, look at the pretty animations, pause and follow along as needed, but still do practice problems (credits to @Nicholas#4790).
Helper Generated and Recorded Sessions
Chelsie's recorded sessions (AA SL/HL + AI SL/HL)
Lake's recorded sessions (AA SL/HL)
Should I watch these videos? Do I need to watch all of them?
Old Syllabus (last exams 2020)
For Math HL:
Chapters 1-10 from the Essence of Calculus series covers the Calculus concepts for Math HL Core.
If you are choosing the Calculus Option for Paper 3, Chapter 11 is required as well.
Chapters 1, 6, 9, 10 from the Essence of Linear Algebra cover the required content for vectors in Math HL Core, however, for a full understanding of all concepts it is strongly recommended to watch all Chapters from 1-10.
For Math SL:
### Not sure, someone who has taken Math SL, please fill up accordingly.
For Math Studies:
### Not sure, someone who knows Math Studies content, please fill up accordingly.
(Exams in 2021 or later) vvv
For Math AA HL:
Chapter 1-11 from the Essence of Calculus series cover all the concepts, there is no option in AA HL.
Chapters 1, 6, 9, 10 cover the required content for vectors in Math Core, however, for a full understand of all concepts it is strongly recommended to watch all Chapters from 1-10.
Watching this series will be extremely useful for any students taking a Paper 3 in the new math curriculum. The concepts communicated are useful in training your mind to think creatively, and visually.
For Math AA SL:
### Not sure, someone who has taken Math SL, please fill up accordingly.
For Math AI HL:
Chapters 1-10 from the Essence of Calculus series cover the Calculus concepts.
Chapters 1-15 from the Essence of Linear Algebra series cover the vectors, and matrices content in AI HL.
For Math AI SL:
### Not sure, someone who knows Math Studies content, please fill up accordingly.
M21 Syllabus: Breakdown
Application & Interpretations SL (AI SL):
IB Course equivalent is Maths Studies
heavy in statistics as the current studies is
Useful in the same ways the current studies is useful
Applications & Interpretations HL (AI HL):
NO IB Course equivalent
Heavy AP Stats content
STRONG focus on modelling
STRONG focus on statistics
Maths Studies curriculum + Math HL curriculum basics + Further Math HL parts
From Math HL: Vectors, Integration with a focus on finding areas, Probability Density Functions.
From Further Math HL: Basic Linear Algebra, Discrete Math (simple graph theory).
Useful in applied science fields that are NOT heavy in traditional math and calculus
Analysis & Approaches SL (AA SL):
IB Course Equivalent is Math SL
Less distinct course content than Math SL
Useful in the same way the old Math SL was
Anslysis & Approaches HL (AA HL):
IB Course Equivalent is Math HL
Heavy AP Calculus AB content
Math HL + Calculus Option
Does NOT have another option to choose from
Useful in pure math and fields of science that are very heavy in math and calculus (pathway to any higher level math courses at uni).
Note: Both AI HL, and AA HL have higher level math content studied usually in university, however AA HL gears you for the "analysis" as is in the name, while AI HL seems to have been built for "application", as is very evident in the textbooks and curriculum papers I have seen.
If you see any mistakes or something is blatantly wrong, contact @Lake#3557 .
Detailed Breakdown of Syllabus
AI SL: Old maths studies. Compared to maths studies, there are a few additions alike Voronoi diagrams, simple integration by hand or using trapezoidal rule, t-test, modelling using graphs, addition of sine graph, binomial, Spearman's rank correlation, bais clogs. The IA has also changed, now it is more like current maths SL/HL. Otherwise, it is good ol' maths studies.
AI HL: It is like old maths HL but with statistics option (MUCH harder than AI SL). There are a few things that have been removed compared to maths HL: hard integration (say by parts), some theoretical parts (say vector dot/cross properties or the way rational functions look). In addition it gets lots of statistics option, matrices (!!!) (including properties, eigenvalues/eigenvectors, determinants, Markov chains and other smaller bits and pieces) and solving differential equations using numerical Euler's method (up to second order differential equation). It also gets all the stuff from the AI SL (so say Voronoi diagrams and trapezoidal rule). ALSO: changes to exam. ALL papers have GDC. Paper 1 and 2 are 2 hrs long (P1 is lots of section A questions, P2 is lots of section B questions). Paper 3 is 1 hr long, some kind of extended response questions. No clue what is that exactly, read guide for further guidance.(modifié)
AA SL: old maths SL, but without vectors. That's all mostly. Very small changes otherwise.
AA HL: old maths HL, but with half of calculus option (excluding convergence/divergence series, Taylor series, Riemman sum, Rolle's/mean value theorem, integral with infinite boundaries and some smaller pieces). Also Poisson is gone now. In return it gets: integration by partial fractions, some more rational functions (with oblique asymptotes), a bit more theory on stats; and from calculus option it gets: L'hop, Maclaurian series, first order differential equations, Euler's method for first order. Exam for P1 and P2 is the same, but P3 is a new type: 1 hr long with GDC, where you answer 2 extended response questions. Again, no idea what exactly is that, check guide for further information.