IB Mathematics AA SL
Key Concepts
In the IB Mathematics Analysis & Approaches (AA) Standard Level (SL) 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 mins

Geometric Sequences & Series
11 mins

Sigma Notation
5 mins

Exponent Laws & Solving Equations
9 mins

Log Laws & Solving Equations
11 mins

The Binomial Theorem
11 mins

Proof by Deduction
7 mins
Topic 2
Functions

Domain & Range, Composite, Inverse
12 mins

Transformations of Functions
9 mins

Factorising Quadratic Functions & Equations
11 mins

Completing the Square (Quadratics)
6 mins

Discriminant Test (Quadratics)
7 mins

Rational Functions, Asymptotes & Graphs
9 mins

Exponential & Logarithmic Functions
5 mins

Sketching Functions with a Calculator
5 mins
Topic 3
Geometry & Trigonometry

Radians, Length of Arc, Area of Sector
4 mins

Unit Circle & Trigonometric Ratios
8 mins

Trig Identities
5 mins

Trig Graphs & Circular Functions
8 mins

Solving Trigonometric Functions & Equations
7 mins

Sine & Cosine Rule, Area of a Triangle
10 mins

Degrees v Radians
3 mins
Topic 4
Statistics & Probability

Mean, Standard Deviation & Variance
8 mins

Bivariate Statistics
10 mins

Venn Diagrams & Probability
7 mins

Conditional Probability
6 mins

Probability Distribution
7 mins

Binomial Distribution
8 mins

Normal Distribution
8 mins
Topic 5
Calculus

Differentiation Rules
11 mins

Equation of a Tangent
4 mins

Optimization & Calculus Curves
10 mins

Integration Rules
9 mins

Integration by Substitution
8 mins

Kinematics
9 mins
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Frequently Asked Questions
What are the AA SL Key Concepts?
The IB Math Analysis & Approaches (AA) SL Key Concepts section is one of the four main features on Revision Village for AA SL students (in addition to Questionbank, Practice Exams and Past Papers). The Key Concepts section includes a carefully planned set of AA SL Exam Revision Videos that students can use to refresh specific concepts (e.g. Completing the Square) 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 SL 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 SL 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 SL Key Concept videos replace my textbook?
This is not the aim of the AA SL 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 SL 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 Standard Level examinations.
Who are the teachers in the AA SL Key Concept videos?
The AA SL Key Concept videos on Revision Village are taught by experienced IB Mathematics teachers and examiners, who are passionate about teaching IB Math AA SL 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.