DP IB Maths AI HL Revision Notes & Key Concepts | Topic Base Questions
Perfect for IB Mathematics (Applications and Interpretation) HL Exam Review in line with the latest syllabus
Excel in the IB Mathematics (Applications and Interpretation) HL exams with our carefully curated collection of revision notes and key concepts. Access detailed notes, worked examples, and essential formulas showing what examiners expect. Ideal for exam practice, mastering marking schemes, and applying effective problem-solving strategies to achieve top results. These resources also support IB Mathematics AI SL students in reinforcing fundamental mathematical skills. For further study, explore our IB Mathematics AI HL topic questions and past papers to enhance your preparation.
Find all IB Maths AI HL revision notes by topic, aligned with the syllabus for efficient exam preparation.
Latest Topic Driven Revision Resources
Topic 1 - Number & Algebra
1.1 - Number Toolkit
1.2 - Exponentials & Logs
1.3 - Sequences & Series
1.4 - Financial Applications
1.5 - Complex Numbers
1.6 - Further Complex Numbers
1.7 - Matrices
1.8 - Eigenvalues & Eigenvectors
Topic 2 - Functions
2.1 - Linear Functions & Graphs
2.2 - Further Functions & Graphs
2.3 - Modelling with Functions
2.4 - Functions Toolkit
2.5 - Transformation of Graphs
2.6 - Further Modelling with Functions
Topic 3 - Geometry & Trigonometry
3.1 - Geometry Toolkit
3.2 - Geometry in 3D Shapes
3.3 - Trigonometry
3.4 - Further Trigonometry
3.5 - Voronoi Diagrams
3.6 - Matrix Transformations
3.7 - Vector Properties
3.8 - Vector Equations of Lines
3.9 - Modelling with Vectors
3.10 - Graph Theory
Topic 4 - Statistics & Probability
4.1 - Statistics Toolkit
4.2 - Correlation & Regression
4.3 - Further Correlation & Regression
4.4 - Probability
4.5 - Probability Distributions
4.6 - Random Variables
4.7 - Binomial Distribution
4.8 - Normal Distribution
4.9 - Further Normal Distribution
4.10 - Poisson Distribution
4.11 - Hypothesis Testing
4.12 - Further Hypothesis Testing
4.13 - Transition Matrices & Markov Chains
Topic 5 - Calculus
5.1 - Differentiation
5.2 - Further Differentiation
5.3 - Integration
5.4 - Further Integration
5.5 - Kinematics
5.6 - Differential Equations
5.7 - Further Differential Equations
Key Concept Videos
Topic 1 - Number & Algebra
Annuities
Arithmetic Sequences & Series
Compound Interest & Depreciation
Eigenvalues, Eigenvectors & Matrix Powers
Forms of Complex Numbers (Rectangular, Polar, Euler)
GDC Tips - Complex Numbers
GDC Tips - Finance Solver (TVM Solver)
GDC Tips - Matrices
Geometric Sequences & Series
Introduction to Complex Numbers
Introduction to Matrices
Loans & Amortization
Operations of Complex Numbers
Percentage Error
Rounding & Significant Figures
Scientific Notation
Sigma Notation
Solving Simultaneous Equations using Matrices
Topic 2 - Functions
Domain & Range, Composite, Inverse
Forms of Linear Lines
Functions Overview & Types
GDC Tips - Intersection of Two Lines
GDC Tips - Plotting Functions & analysis Tools
GDC Tips - Using nSolve to Solve Equations
Gradients & Intercepts of Linear Lines
Parallel & Perpendicular Gradients
Perpendicular Bisectors
Transformations of Functions
Topic 3 - Geometry & Trigonometry
Degrees vs Radians
Geometric Transformations
Geometry of 3D Shapes
Graph Theory
Graphs of Trigonometric Functions
Lengths of an Arc, Area of Sector (Circles)
Pythagorars Theorem
Right Angles Trigonometry (Sin, Cos, Tan)
Scalar Product & Angle Between Two Vectors
Sine & Cosine Rules, Area of a Triangle
Unit Circles & Trogonometric Ratios
Vector Equation of a Line
Vector Product
Vector Basics
Voronoi Diagrams
Topic 4 - Statistics & Probability
Binomial Distribution
Coefficient of Determination
Combination of Random Variables
Correlation (Pearson's & Spearman's)
Data Sampling Methods
Estimation & Confidence Intervals
Hypothesis Testing
Line of Regression Equation & Reliability
Mean, Median, Mode
Non-Linear Regression
Normal Distribution
Outliers
Possion Distribution
Probability Distribution
Quartiles, Interquartile Range, Box & Whisper Diagrams
Transition Matrices & Markov Chains
Tree Diagrams (Probability)
Venn Diagrams (Probability)
Topic 5 - Calculus
Area Enclosed by a Curve and the x or y-axis
Basics of Antidifferentiation
Basics of Differentiation
Euler's Method
Finding Areas Under Curves
Further Differentiation Rules
Further Integration Rules
Integration by Substitution
Kinematics
Overview of Integral Calculus
Related Rates
Separable Differential Equations
The Second Derivative
Trapezoidal Rule
Turning Points (MaxMin, Optimization)
Volumes of Revolution about the x or y-axis
Other Previous Useful Resources
Topic 1 - Number & Algebra
Topic 2 - Functions
Topic 3 - Geometry & Trigonometry
Topic 4 - Statistics & Probability
Topic 5 - Calculus
Why IB Maths AI HL is Challenging
The IB Mathematics: Applications and Interpretation (AI) Higher Level (HL) course emphasizes mathematical reasoning, modeling, and technology usage. Unlike traditional math courses, it requires students to apply concepts in real-world contexts and effectively use technology like graphing calculators and software.
Key challenges students often face include:
Understanding abstract mathematical concepts
Applying mathematics in real-world scenarios
Mastering the use of technology in problem-solving
Efficiently managing time during exams
To excel, students need a structured revision plan supported by high-quality IB Maths AI HL revision notes and practice materials.
Key Concepts to Focus On
1. Algebra and Functions
Sequences and Series – Understanding arithmetic and geometric progressions.
Logarithms and Exponential Functions – Key properties and real-life applications.
Polynomials and Rational Functions – Graphing, roots, and asymptotes.
Matrices and Transformations – Operations and their applications in geometry.
2. Statistics and Probability
Descriptive Statistics – Mean, median, mode, standard deviation, and variance.
Probability Distributions – Normal and binomial distributions.
Regression and Correlation – Using statistical tools for data analysis.
3. Calculus
Differentiation – Techniques, applications, and optimization problems.
Integration – Definite and indefinite integrals, area under curves.
Differential Equations – Solving first-order equations and their applications.
4. Mathematical Models
Linear and Non-Linear Models – Application in economics, physics, and biology.
Graphical Representations – Using technology to visualize functions and trends.
5. Use of Technology
Graphing Calculators – Efficient use of tools like the TI-84 and Casio CG50.
Mathematical Software – Exploring GeoGebra, Desmos, and spreadsheets.
Effective Study Strategies for IB Maths AI HL
1. Use Structured Revision Notes
Our IB Maths AI HL revision notes are designed to simplify complex topics, providing clear explanations, step-by-step examples, and key takeaways. Use these notes to reinforce your understanding and identify weak areas.
2. Practice Past Papers Regularly
At Exam Papers Practice, we offer a vast collection of IB Maths AI HL past papers with detailed solutions. Practicing past papers helps in:
Understanding exam patterns and question styles.
Identifying time-consuming problems and improving speed.
Building confidence by applying learned concepts to real questions.
3. Break Down Difficult Concepts
For challenging topics like calculus and probability distributions, break them down into small sections:
Start with basic definitions and formulas.
Work on example problems step by step.
Use visual aids like graphs and diagrams.
Apply concepts to real-world problems to improve understanding.
4. Utilize Technology for Better Understanding
Leverage graphing calculators and software like GeoGebra and Desmos to visualize functions and statistical data. Understanding graphs and patterns can make complex topics easier to grasp.
5. Develop a Study Schedule
Consistency is key to mastering IB Maths AI HL. Follow a study plan that includes:
Daily practice sessions (1-2 hours per day).
Weekly revision of key concepts.
Solving timed mock exams every two weeks.
6. Learn from Mistakes
Analyze errors from past papers and mock exams. Identify patterns in mistakes, whether they are calculation errors, misinterpretations, or conceptual gaps, and focus on correcting them.
7. Join Study Groups
Discussing problems with peers helps reinforce concepts and provides alternative problem-solving approaches. Teaching others is one of the best ways to solidify your understanding.
Struggling with IB Maths AI HL? Boost Your Exam Performance Today!
Master IB Maths AI HL with Revision Notes & Topic-Based Questions
Struggling to fully understand IB Maths AI HL concepts for the 2026 exams? You’re not alone. Our DP IB Maths AI HL Revision Notes & Key Concepts are designed to simplify complex ideas, reinforce understanding, and boost your exam performance. With structured topic-based notes and practice questions, you can confidently revise every part of the syllabus.
Why Use IB Maths AI HL Revision Notes & Topic-Based Questions?
Revision notes aren’t just summaries — they are powerful tools to consolidate understanding and apply concepts in real exam scenarios. With our resources, you can:
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Understand Key Concepts Clearly: Covers all syllabus topics — Number & Algebra, Functions, Geometry & Trigonometry, Statistics & Probability, and Calculus.
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Practice Effectively: Topic-based questions help you apply concepts in different contexts, just like in real IB exams.
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Build Exam Confidence: Clear explanations and structured notes improve speed, accuracy, and problem-solving skills.
Detailed Solutions and Step-by-Step Guidance
Our topic questions include fully worked solutions that show exactly how marks are awarded and how examiners expect answers to be structured. This approach helps you understand the logic behind every solution, avoid common mistakes and misconceptions, and improve your exam technique to maximize your marks.
Fully Aligned with the 2026 IB Maths AI HL Syllabus
Every revision note and topic question strictly follows the official IB Math AI HL syllabus. From theoretical concepts to practical applications, you can revise confidently knowing you’re studying exactly what you’ll face in your exams.
Revise Smarter, Not Harder
Success in IB Maths AI HL isn’t about memorization — it’s about strategic, focused revision. By using our notes and topic-based questions, you can quickly review essential concepts, apply your knowledge across different question types, and track your progress to focus on areas that need improvement.
Where to Find the Best Educational Support
For additional help, explore our sister organizations — Lite Regal International College and Lite Regal Education — which offer expert tutors, revision programs, and study support for IB students. Whether you prefer one-on-one tutoring or structured group sessions, you’ll find tailored options to match your learning needs.
Combine our IB Maths AI HL revision notes, topic-based questions, and past papers with effective study strategies like spaced repetition and active recall. Revise consistently, master concepts deeply, and confidently work toward achieving a 7 in your IB Maths AI HL exams.
