Analysis & Approaches HL Key Concepts

Short Summary Videos for AA HL Students

Topic 1
Number & Algebra
AA HL - Arithmetic Sequences and Series
AA HL - Geometric Sequences and Series
AA HL - Sigma Notation
AA HL - Exponents Laws and Solving Equations
AA HL - Log Laws and Solving Equations
AA HL - The Binomial Theorem
AA HL - Proof by Deduction
AA HL - Partial Fractions
AA HL - Counting Principles, Combinations and Permutations
AA HL - Proof by Contradiction
AA HL - Proof by Mathematical Induction
AA HL - Complex Numbers and De Moivres Theorem
AA HL - Systems of Linear Equations
AA HL - Binomial Theorem for Fractional & Negative Indices
Topic 2
AA HL - Domain and Range, Composite, Inverse
AA HL - Transformations of Functions
AA HL - Factorising Quadratic Functions and Equations
AA HL - Completing the Square for Quadratics
AA HL - Discriminant Test for Quadratics
AA HL - Rational Functions, Asymptotes and Graphs
AA HL - Exponential and Logarithmic Functions
AA HL - Polynomial Theorems, Remainder, Factor, Division
AA HL - Sum and Product of Roots for Polynomials
AA HL - Sketching Functions with a Calculator
Topic 3
Geometry & Trigonometry
AA HL - Radians, Length of Arc, Area of Sector
AA HL - Unit Circle and Trig Ratios
AA HL - Trig Identities
AA HL - Trig Graphs and Circular Functions
AA HL - Solving Trig Functions and Equations
AA HL - Sine and Cosine Rule, Area of a Triangle
AA HL - Degrees vs Radians
AA HL - Vectors Basics
AA HL - Scalar Product and Angle Between Two Vectors
AA HL - Vector Equation of a Line
AA HL - Intersection of 2 Vector Lines
AA HL - Vector Product
AA HL - Equation of a Plane for Vectors
AA HL - Intersection of a Line and Plane for Vectors
Topic 4
Statistics & Probability
AA HL - Mean, Standard Deviation and Variance
AA HL - Bivariate Statistics
AA HL - Venn Diagrams and Probability
AA HL - Conditional Probability
AA HL - Bayes Theorem
AA HL - Probability Distribution
AA HL - Binomial Distribution
AA HL - Normal Distribution
AA HL - Probability Density Functions
Topic 5
AA HL - Differentiation Rules
AA HL - Equation of a Tangent
AA HL - Optimization and Calculus Curves
AA HL - L'Hôpital's Rule
AA HL - Implicit Differentiation
AA HL - Related Rates
AA HL - Integration Rules
AA HL - Integration by Substitution
AA HL - Integration by Parts
AA HL - Volume of Revolution
AA HL - Kinematics
AA HL - Differential Equations
AA HL - Maclaurin Series

~ Last updated: February 3, 2023 ~

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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.

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