IB

IB Mathematics Analysis & Approaches HL
Differentiation

Focuses on concepts and techniques related to differentiation, integration, kinematics, and differential equations.

First Principles

Explores differentiation from first principles, examining how a limit can be applied to determine the gradient of a function.

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Differentiating Functions

Explores the differentiation of logarithmic, exponential & power functions, and trigonometric & inverse trigonometric functions. Methods examined include the chain, product, and quotient rules.

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Optimization

Explores optimization. Typical applications include maximizing volumes or profits and minimizing areas or costs.

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Related Rates and Implicit Differentiation

Explores related rates and implicit differentiation, which involve similar techniques of multiplying derivatives to obtain novel expressions or solutions.

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Limits and L’Hôpital’s Rule

Explores the use of L’Hôpital’s rule to determine the limits of functions at points where the function takes on an indeterminate form.

RV Gold

Practice and Test Yourself

Practice with some culminating questions and test yourself on a quick assessment.

RV Gold

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More IB Mathematics AA HL Resources

Questionbank

All the questions you could need! Sorted by topic and arranged by difficulty, with mark schemes and video solutions for every question.

Paper 3

This resource offers a collection of mathematical modeling and investigation-style questions designed to help you prepare for the IB Math AA HL Paper 3 exam.

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Practice Exams

Choose your revision tool! Contains topic quizzes for focused study, Revision Village mock exams covering the whole syllabus, and the revision ladder to precisely target your learning.

Key Concepts

Helpful refreshers summarizing exactly what you need to know about the most important concepts covered in the course.

Past Papers

Full worked solutions to all past paper questions, taught by experienced IB instructors.

Bootcamps & IA Toolkit

This resource combines topic-based Bootcamps and an IA Toolkit. Bootcamps review key concepts, while the IA Toolkit supports your Internal Assessment.

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Flashcards

Use multiple-choice questions and study crucial terminology on desktop or mobile app to improve your marks!

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Frequently Asked Questions

The IB Math Analysis and Approaches (AA) HL Bootcamps are sequenced, intensive workshops designed specifically for direct revision of the most important concepts, techniques, and skills required for success on the IB exams. Each AA Higher Level Bootcamp centers a theme or topic crucial to earning a 7, structured around problems carefully crafted and explained by IB Mathematics teachers and examiners for students looking to take that final step in their revision process. The IB Mathematics AA HL Bootcamps are accompanied by culminating questions and self-evaluation tests, the perfect tool to determine what revision is required.
The AA HL Bootcamps are designed to help IB students master content using AA HL exam style questions in workshops on a specific topic or concept. Therefore, a good place to start is by identifying a subtopic that you would like to practice and improve in and go to that area of the AA HL Bootcamps. For example, if you want to prepare for AA HL Optimization examination questions, you can go to AA HL Topic 5 (Calculus) Bootcamp, and select Differentiation, then Optimization. On this page there is a carefully sequenced unit covering IB Math AA HL Optimization, progressing through an introduction, workshop and conclusion. If you’re just getting started with your revision, you could start with the introduction to review the main concepts, or if you already have some confidence, you could go straight to the workshop.
The AA HL Bootcamps are perfect for revising a particular topic or concept, in-depth. For example, if you wanted to make sure you have mastered Kinematics, this section of the AA HL Topic 5 (Calculus) Bootcamp contains explanations of Displacement, Velocity and Acceleration graphs, worked examples, introductory questions, exam style questions with written worked solutions, hint videos and solution videos. You can then test yourself with a series of culminating questions and a self-evaluation test.
This is not the aim of the AA HL Bootcamp section on Revision Village. The AA HL Bootcamps are designed to help you take that final step between learning and practising the course content, to putting it all together to answer examination questions. The AA HL Bootcamp section on Revision Village aims to support students’ revision process by providing an easy way to comprehensively recap the concepts that occur frequently on Analysis and Approaches Higher Level examinations.