DP IB Mathematics (Analysis and Approaches) HL Revision Notes
Perfect for IB Mathematics (Analysis and Approaches) HL Exam Review in line with the latest syllabus
Excel in the IB Mathematics (Analysis and Approaches) HL exams with our carefully selected compilation of revision notes and topic-based resources. Access comprehensive notes, worked examples, and key formulas showing what examiners expect. Ideal for exam practice, mastering marking criteria, and applying effective exam strategies to achieve top results. These resources also support IB Mathematics AA SL students in strengthening core mathematical skills. For further study, explore our IB Mathematics AA HL topic questions and past papers to enhance your preparation.
Find all IB Maths AA HL revision notes by topic, aligned with the syllabus for efficient exam preparation.
Topic Driven Revision Resources
1 - Number and Algebra
1.1 - Number & Algebra Toolkit
1.2 - Exponentials & Logs
1.3 - Sequences & Series
1.4 - Simple Proof & Reasoning
1.5 - Further Proof & Reasoning
1.6 - Binomial Theorem
1.7 - Permutations & Combinations
1.8 - Complex Numbers
1.9 - Further Complex Numbers
1.10 - Systems of Linear Equations
2 - Functions
2.1 - Linear Functions & Graphs
2.2 - Quadratic Functions & Graphs
2.3 - Functions Toolkit
2.4 - Other Functions & Graphs
2.5 - Reciprocal & Rational Functions
2.6 - Transformations of Graphs
2.7 - Polynomial Functions
2.8 - Inequalities
2.9 - Further Functions & Graphs
3 - Geometry and Trigonometry
3.1 - Geometry Toolkit
3.2 - Geometry of 3D Shapes
3.3 - Trigonometry Toolkit
3.4 - Trigonometry
3.5 - Trigonometric Functions & Graphs
3.6 - Trigonometric Equations & Identities
3.7 - Inverse & Reciprocal Trigonometric Functions
3.8 - Further Trigonometry
3.9 - Vector Properties
3.10 - Vector Equations of Lines
3.11 - Vector Planes
4 - Statistics and Probability
4.1 - Statistics Toolkit
4.2 - Correlation & Regression
4.3 - Probability
4.4 - Probability Distributions
4.5 - Binomial Distribution
4.6 - Normal Distribution
4.7 - Further PRobability Distributions
5 - Calculus
5.1 - Differentiation
5.2 - Further Differentiation
5.3 - Integration
5.4 - Further Integration
5.5 - Optimization
5.6 - Kinematics
5.7 - Basic Limits & Continuity
5.8 - Advanced Differentiation
5.9 - Advanced Integration
5.10 - Differential Equations
5.11 - McLaurin Series
5.12 - Further Limits
Other Previous Useful Revision Resources
Number and Algebra
Functions
Geometry and Trigonometry
Statistics and Probability
Calculus
What Is IB Mathematics (Analysis and Approaches) HL?
The IB Mathematics (Analysis and Approaches) HL course is designed for students who enjoy working with abstract math, complex problem solving, and theoretical analysis. It covers a wide range of topics including:
Algebra
Functions
Geometry and Trigonometry
Calculus
Probability and Statistics
The HL level goes deeper into each topic compared to SL, with a focus on rigorous understanding and application. That’s why structured revision notes and consistent practice are essential.
Why Use Revision Notes from Exam Papers Practice?
At Exam Papers Practice, we understand what examiners are looking for and what students need to focus on. Our IB Mathematics (Analysis and Approaches) HL revision notes are crafted by experienced educators and past IB examiners, giving you access to:
Concise Summaries: No more wasting time on bulky textbooks. Our notes are short, focused, and to the point.
Topic-Wise Organization: Easily find notes by topic, whether you’re studying sequences or integration.
Worked Examples: Each concept is followed by step-by-step solved examples, helping you learn how to apply what you’ve just read.
Exam Tips and Common Pitfalls: We highlight common student mistakes and provide tips to avoid them.
Updated to the Latest IB Syllabus: Our materials match the most recent syllabus updates for IB Mathematics (Analysis and Approaches) HL.
How to Study Effectively with Our IB Mathematics (Analysis and Approaches) HL Revision Notes
1. Create a Study Plan
Break down your study time by topic. Allocate more time to challenging areas and review easier topics more quickly. For example:
Week 1: Algebra + Practice Questions
Week 2: Functions and Calculus
Week 3: Trigonometry and Geometry
Week 4: Probability and Statistics
Use our topic-organized IB Mathematics (Analysis and Approaches) HL revision notes to focus on one subject at a time. This way, you avoid feeling overwhelmed.
2. Use the Notes Actively
Don’t just read—study actively. Here’s how:
Write your own summary after each topic
Try solving the example questions before reading the solution
Use a highlighter to mark key formulas and rules
Teach the concept to someone else or explain it out loud
Our notes are designed to make active learning easy and effective.
3. Practice with Past Papers
After reviewing a topic using our revision notes, switch to real exam questions. Our website includes:
Past IB exam papers
Topic-wise question banks
Mark schemes and examiner reports
Doing this helps you apply the theory and get used to exam-style questions for IB Mathematics (Analysis and Approaches) HL.
4. Understand, Don’t Memorize
IB Maths HL exams test understanding, not just memory. That’s why our notes include detailed explanations of why a method works—not just how.
For instance, when studying calculus, don’t just memorize the derivative rules—understand what a derivative represents and how it applies in real-world scenarios.
Struggling with Your IB Maths (Analysis and Approaches) HL Revision?
Get Expert IB Mathematics AA HL Support to Improve Your Grades Today!
If you’re finding IB Maths AA HL challenging and need extra support, consider accessing revision notes, tutoring, or focused exam preparation resources. Whether your goal is to boost your grades or master complex topics like calculus, functions, or statistics, targeted revision can make a huge difference. Using the right resources is key, and multiple options are available to help you succeed in your exams.
Why Consider Expert Guidance for Your IB Mathematics AA HL Revision?
A personal tutor or guided revision can provide support tailored to your individual learning needs. One-on-one sessions focus on the areas you struggle with most, from algebraic reasoning to probability and modeling. Expert guidance ensures you understand key concepts, apply effective problem-solving techniques, and are fully prepared for internal assessments and final exams.
Intensive Revision Sessions: Maximize Your Preparation
Structured revision sessions—whether during holidays or weekly study plans—help you revisit the syllabus, consolidate key topics, and practice with real IB-style exam questions. These intensive study periods are perfect for students aiming to refresh knowledge, improve confidence, and develop exam strategies.
Access the IB Mathematics AA HL Syllabus for Targeted Studying
Reviewing the official IB mathematics syllabus is essential for efficient exam preparation. The syllabus clearly outlines all topics, allowing you to prioritize areas that need more attention. With comprehensive coverage of all IB Maths AA HL topics, including calculus, algebra, functions, and statistics, you can study with confidence knowing you are focusing on the right material.
Where to Find the Best Revision Resources
For additional support, you can check out the services offered by our Sister Companies, Lite Regal International College and Lite Regal Education, both of which provide expert tutors and revision resources. Whether you need a tutor for personalized lessons or are looking to join a revision group, these services have a wide range of options to fit your study needs.
IB Mathematics (Analysis and Approaches) HL can seem challenging, but with structured revision notes and a smart, focused study strategy, mastering it becomes entirely achievable. Our expertly prepared IB Maths AA HL revision materials at Exam Papers Practice guide your learning, help you avoid common pitfalls, and ensure you fully grasp both theory and application across every topic.
