IB Mathematics AA HL - Key Concepts
In the IB Mathematics Analysis & Approaches (AA) Higher Level (HL) Key Concepts section, you will find summary videos that will help you review the most important concepts and skills necessary for success. They are ideal for a quick refresher before tackling questions in the Revision Village Questionbank or Practice Exams sections of the website.
Topic 1
Number & Algebra
Arithmetic Sequences & Series
8 minutes
Geometric Sequences & Series
11 minutes
Sigma Notation
5 minutes
Exponent Laws & Solving Equations
9 minutes
Log Laws & Solving Equations
11 minutes
The Binomial Theorem
11 minutes
Counting Principles, Combinations & Permutations
6 minutes
Proof by Mathematical Induction
8 minutes
Complex Numbers & De Moivre's Theorem
11 minutes
Systems of Linear Equations
9 minutes
Proof by Deduction
7 minutes
Partial Fractions
8 minutes
Proof by Contradiction
3 minutes
Binomial Theorem for Fractional & Negative Indices
6 minutes
Topic 2
Functions
Domain & Range, Composite, Inverse
12 minutes
Transformations of Functions
9 minutes
Factorising Quadratic Functions & Equations
11 minutes
Completing the Square (Quadratics)
6 minutes
Discriminant Test (Quadratics)
7 minutes
Rational Functions, Asymptotes & Graphs
9 minutes
Exponential & Logarithmic Functions
5 minutes
Sketching Functions with a Calculator
5 minutes
Polynomial Theorems: Remainder, Factor, Division
10 minutes
Sum & Product of Roots (Polynomials)
5 minutes
Topic 3
Geometry & Trigonometry
Radians, Length of Arc, Area of Sector
4 minutes
Unit Circle & Trigonometric Ratios
8 minutes
Trig Identities
5 minutes
Trig Graphs & Circular Functions
8 minutes
Solving Trigonometric Functions & Equations
7 minutes
Sine & Cosine Rule, Area of a Triangle
10 minutes
Degrees v Radians
3 minutes
Vector Basics
7 minutes
Scalar Product & Angle Between Two Vectors
9 minutes
Vector Equation of a Line
6 minutes
Intersection of 2 Vector Lines
6 minutes
Vector Product
8 minutes
Equation of a Plane (Vectors)
8 minutes
Intersection of a Line & Plane
5 minutes
Topic 4
Statistics & Probability
Mean, Standard Deviation & Variance
8 minutes
Bivariate Statistics
10 minutes
Venn Diagrams & Probability
7 minutes
Conditional Probability
6 minutes
Probability Distribution
7 minutes
Binomial Distribution
8 minutes
Normal Distribution
8 minutes
Bayes Theorem
6 minutes
Probability Density Functions
8 minutes
Topic 5
Calculus
Differentiation Rules
11 minutes
Equation of a Tangent
4 minutes
Optimization & Calculus Curves
10 minutes
Integration Rules
9 minutes
Integration by Substitution
8 minutes
Kinematics
9 minutes
Integration by Parts
7 minutes
Volume of Revolution
6 minutes
L'Hôpital's Rule
6 minutes
Implicit Differentiation
6 minutes
Related Rates
8 minutes
Differential Equations
12 minutes
Maclaurin Series
7 minutes
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Frequently Asked Questions
What are the AA HL Key Concepts?
The IB Math Analysis & Approaches (AA) HL Key Concepts section is one of the four main features on Revision Village for AA HL students (in addition to Questionbank, Practice Exams and Past Papers). The Key Concepts section includes a carefully planned set of AA HL Exam Revision Videos that students can use to refresh specific concepts (e.g. Integration by Parts) that they may have missed or misunderstood in class. The revision videos typically range between 5 and 10 minutes in length and are a short and concise way for students to quickly refresh a concept, before practicing exam questions, either in the Questionbank or Practice Exams section of the Revision Village website.
How should I best use the AA HL Key Concepts?
A great way to improve in mathematics is by practicing lots of questions, but sometimes we forget key pieces of theory. It’s recommended that students use the AA HL Key Concepts in conjunction with solving exam questions. Stuck on a specific question? Go to the Key Concepts section and watch one of the revision videos that recaps the theory. It’s recommended that students then return to the original question and try and solve it again.
Do the AA HL Key Concept videos replace my textbook?
This is not the aim of the AA HL Key Concept section on Revision Village. These videos are short and concise and aim to ‘recap’ the theory, as opposed to teaching and explaining the theory, which is the purpose of textbooks. The AA HL Key Concept section on Revision Village aims to support students’ revision process by providing an easy way to quickly recap the concepts that occur frequently on Analysis and Approaches Higher Level examinations.
Who are the teachers in the AA HL Key Concept videos?
The AA HL Key Concept videos on Revision Village are taught by experienced IB Mathematics teachers and examiners, who are passionate about teaching IB Math AA HL concepts in a simple, intuitive and engaging manner. The team is dedicated to helping each and every student achieve their best possible IB Mathematics grade.