IB

IB Mathematics Applications & Interpretation HL
Differentiation

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

The Gradient of a Curve

Explores the concept of finding the gradient of a curve, both by consideration of limits and by applying formulae for differentiation functions.

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Differentiation Rules

Explores the use of the chain rule, the product rule and the quotient rule when differentiating composite functions, products and quotients.

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Tangents and Normals

Explores the concept of gradients and equations of tangents and normals to a curve.

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Maxima, Minima and the Second Derivative

Explores stationary points, points of inflexion and concavity of a function.

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Increasing and Decreasing Functions

Explores the notion of when a function is increasing or decreasing and how we can determine domains in which these occur.

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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 of Change

Explores related rates of change, which involves multiplying derivatives to obtain novel expressions or solutions.

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Practice and Test Yourself

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

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RV Gold

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More IB Mathematics AI 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 AI 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 Applications and Interpretation (AI) 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 AI 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 AI HL Bootcamps are accompanied by culminating questions and self-evaluation tests, the perfect tool to determine what revision is required.
The AI HL Bootcamps are designed to help IB students master content using AI 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 AI HL Bootcamps. For example, if you want to prepare for AI HL Poisson Distribution examination questions, you can go to AI HL Topic 4 (Statistics & Probability) Bootcamp, and select Distributions, then Poisson Distribution. On this page there is a carefully sequenced unit covering IB Math AI HL Poisson Distribution, 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 AI HL Bootcamps are perfect for revising a particular topic or concept, in-depth. For example, if you wanted to make sure you have mastered Hypothesis Testing, this section of the AI HL Topic 4 (Statistics & Probability) Bootcamp contains explanations of t-tests, z-tests, tests for rho, chi-squared tests, 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 AI HL Bootcamp section on Revision Village. The AI 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 AI 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 Applications and Interpretation Higher Level examinations.