IB Mathematics Analysis & Approaches HL
Differentiation
Focuses on concepts and techniques related to differentiation, integration, kinematics, and differential equations.
Differentiation
Focuses on the nature, execution, and applications of differentiation.
First Principles
Explores differentiation from first principles, examining how a limit can be applied to determine the gradient of a function.
RV Gold
Differentiating Functions
Explores the differentiation of logarithmic, exponential & power functions, and trigonometric & inverse trigonometric functions. Methods examined include the chain, product, and quotient rules.
RV Gold
Optimization
Explores optimization. Typical applications include maximizing volumes or profits and minimizing areas or costs.
RV Gold
Related Rates and Implicit Differentiation
Explores related rates and implicit differentiation, which involve similar techniques of multiplying derivatives to obtain novel expressions or solutions.
RV Gold
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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Frequently Asked Questions
What are the AA HL Bootcamps?
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.
Where should I start with the AA HL Bootcamps?
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.
How should I use the AA HL Bootcamps?
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.
Do the AA HL Bootcamps replace my textbook?
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.