Andrew's Guide to IB Mathematics Universe

Hey y'all! This post is aimed at students who have just started IB or planning to take IB AAHL/AIHL courses in the future, as well as future A-level Maths students, but everyone would benefit from doing some more algebra here and there. Why do we have this booklet? The state of students entering AAHL/AIHL is alarming, especially algebra-wise. Many students managed to get on the course with a 6 at GCSE, which means one could theoretically barely  know any algebra and still being allowed to take a very algebra-intensive course. During the course, algebra is like the air we breathe - you do it in most questions, often without prompts and guidance. There'll be no flashing sign saying "you gotta use simultaneous equations to solve this question", it's just "solve this problem" and you gotta figure out what  you have to do. I specifically wanted to focus on algebra because trigonometry can be covered during our recap of the trio (sine rule, cosine rule and are...

Fourth collection of unit tests: calculus. Occasionally featuring questions from endless inspirational sources. Answers included.   Version 1 Differentiation (AASL/AAHL) : basics of differentiation and applications. An extra 30-minute test for AAHL kiddos. Integration (AASL) : techniques of integration, definite integrals and area between curves. Integration (AAHL) : similar to HL, just more stuffs. DE and power series (AAHL) : finishing up the calculus section Differentiation and Integration (AIHL) : non-differential-equation part of AIHL. Version 2 Integration (AASL and AAHL) [v2]  - MORE PRACTICE! Differentiation (AASL and AAHL) [v2]   Version 2.2 Integration [v2.2]  - The people demanded more! Differentiation [v2.2] - all SL/HL differentiation content. Further calculus [v2.2] - First order differential equations and Maclaurin  Version 2.3 Differentiation [v2.3] - all SL/HL differentiation content. Integration [v2.3]   - all SL/HL integration conten...

Second collection of unit tests: trigonometry and vectors. Occasionally featuring questions from endless inspirational sources. Answers included. Unit Tests Version 1 Part 1: Trig relationships (AASL/AAHL)  The trio (sine/cosine rules and area of a triangle), sectors and the unit circle. Part 1: Trig relationships (AISL/AIHL)  Same as above, just slightly modified. Part 2: Trig identities and equations (AASL/AAHL)  Trig identities and equations, including Pythagorean identities and compound angle identities for AAHL. Vectors (AAHL) : lines and planes in 3D. Version 2 Trig relationships (AASL/AAHL) Sine rule, cosine rule, area of a triangle and sectors. Trig functions (AASL/AAHL)  The start of triangles become circles, v2. Trig identities (AASL/AAHL)  Second part of triangles become circles. And graphs. Vectors : lines and planes in 3D.   Version 2.2 Trig relationships v2.2 Sine rule, cosine rule and area of a triangle, and other things. Trig functions v...

Third collection of unit tests: probability and statistics. Occasionally featuring questions from endless inspirational sources. Answers included. Statistics and intro probability (AISL/AIHL) Statistics and intro probability (AAHL/AASL) : descriptive stats, correlation, basic probability recap and intro to proper notations. Further probability (AASL/AAHL) : advanced probability trees, probability distribution, continuous random variable (AAHL) with basic integrals.

A collection of topic tests that I've ever written on the website. Unit Tests Occasionally featuring questions from endless inspirational sources. Answers included. Version 1 Nombre complexes (AAHL seulement)  Complex number. The test is in English, don't worry. Contains some wonderful questions that might require the use of integration. Logarithms (AASL/AAHL)  Logarithmic, exponential and rational functions. Further transformations for AAHL students. Proofs, binomial and more (AASL/AAHL)  A list of miscellaneous topics that don't fit anywhere. Quadratics (AASL/AAHL)  Combined algebra and quadratics - an updated version will arrive soon. Quadratics (AISL/AIHL)  Slightly different from the former because of the emphasis of the courses. Sequences and series (all four courses)  Covering two types of series studied in depth in IB: arithmetic and geometric. Knowledge of logarithms was required if memory serves me. Version 2 Sequences and series (AASL/AAHL) ...

Hey there kiddos! Many of you will write the final exams in two days - best of luck! Even better this time that P2 is on a Monday so y'all will have some time to focus on things that haven't showed up on P1. Today's post is a lil different from normal: booster papers. Some people (myself included) have the tendency to do easy  questions before the exam to boost our morale and give us some confidence that you do know some stuff. Well this is it - I've just written a couple papers over the last four days (hence please pardon me if the papers don't have their usually high quality) which were supposed  to be easier than the mocks (so perhaps at the same level as the actual exam lmao) that you could get your hands on! Grab your stuff here before it's too late:  https://drive.google.com/drive/folders/13ArEJPOWOcPCTOI0WOmw-t7SSgINeMfA?usp=sharing . How are your other exams going? Let me know in the mocks server ! Btw, all the papers from M22 are uploaded, link  here . ...