This document serves as the central hub for all IB Math courses under development. Each course entry includes a clear description, SEO keywords for YouTube and website optimization, as well as links to course materials, landing pages, and related resources. It ensures consistency across platforms, streamlines content production, and provides a single reference point for the entire team.

Topics’ pages

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Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.

Video lessons

Learn the content with the videos provided and reinforce your comprehension by practicing with the exercise list above.

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Topics’ descriptions

Number and Algebra

Proofs by contradiction

Course description

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Proofs by contradiction are like the detective stories of mathematics—you assume the suspect is innocent, follow the clues, and then realize they’ve been guilty all along. The logic is sneaky, the reasoning elegant, and when it clicks… it really clicks. The bad news? At first, it feels backwards. You start by assuming the opposite of what you want, and somewhere along the way you’re supposed to end up proving yourself right. Confused? Don’t worry—you’re supposed to be (at first). Stick around for the lessons and videos below, and soon you’ll be exposing false assumptions like a mathematical Sherlock Holmes 🕵️‍♂️📜

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Keywords

• ib math
• …

Induction proofs

Course description

You thought you had AA HL under control—until induction proofs showed up. Humbling, wasn’t it? Here’s the deal: the good news is that with a clear process and the methods we’re about to share, you can master induction proofs. The bad news? It’s going to take serious practice and effort (but then again, what in IB Math doesn’t?). Dive into the lessons and videos below, and soon you’ll be ruling the kingdom of induction proofs 👑

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Keywords

• ib math
• induction proof
• proof by induction
• proof by induction math aa hl
• induction proof math aa hl
• the ib math teacher

Calculus

Optimization

Course description

Optimization problems are where math meets real life—and real pain. One minute you’re finding the maximum area of a fence, the next you’re knee-deep in derivatives wondering why anyone would ever build a box without a lid. The good news? Every problem follows the same storyline: model it, differentiate it, set it to zero, and boom—you’ve found your max or min (hopefully). Once you learn to translate words into equations, these questions go from confusing riddles to satisfying puzzles. Dive into the lessons and videos below, and soon you’ll be optimizing everything in sight—except your sleep schedule 😴📈

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Keywords

• ib math
• aa hl
• ib math calculus optimization
• ib math aa optimization
• aa hl optimization
• optimization problems
• ib math optimization problems
• optimization problem example
• the ib math teacher

Integration by parts

Course description

Integration by parts is like IB Math’s version of a good breakup: you start with a hot mess but, after splitting apart, everything falls back in place (hopefully). The trick is knowing who to select to be your u and to be your dv. Pick wisely and the mess untangles beautifully. Pick wrong and, well, you’ll be stuck in algebraic therapy for hours. Once you get the hang of it, integration by parts feels less like heartbreak and more like magic✨

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Keywords

• ib math
• aa hl
• ib math aa hl integration by parts
• aa hl integration by parts
• integration by parts
• cyclic integration by parts
• examples integration by parts
• the ib math teacher