IB Mathematics AA

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IB Mathematics: Analysis and Approaches (Math AA) builds a strong theoretical mathematical foundation, focusing on abstract thinking, rigorous argumentation, and complex problem-solving. This course emphasizes precision and proof methods, making it an ideal preparation for subjects requiring in-depth mathematics such as Mathematics, Physics, Engineering, and Computer Science.

Common Challenges When Learning IB Mathematics AA

Course Content

1.1: Arithmetic Sequences & Series
1.2: Geometric Sequences & Series
1.3: Sigma Notation
1.4: Exponent Laws & Solving Equations
1.5: Log Laws & Solving Equations
1.6: The Binomial Theorem
1.7: Counting Principles, Combinations & Permutations
1.8: Proof by Mathematical Induction
1.9: Complex Numbers & De Moivre's Theorem
1.10: Systems of Linear Equations
1.11: Proof by Deduction
1.12: Partial Fractions
1.13: Proof by Contradiction
1.14: Binomial Theorem for Fractional & Negative Indices
2.1: Domain & Range, Composite, Inverse
2.2: Transformations of Functions
2.3: Factorising Quadratic Functions & Equations
2.4: Completing the Square (Quadratics)
2.5: Discriminant Test (Quadratics)
2.6: Rational Functions, Asymptotes & Graphs
2.7: Exponential & Logarithmic Functions
2.8: Sketching Functions with a Calculator
2.9: Polynomial Theorems: Remainder, Factor, Division
2.10: Sum & Product of Roots (Polynomials)
3.1: Radians, Length of Arc, Area of Sector
3.2: Unit Circle & Trigonometric Ratios
3.3: Trig Identities
3.4: Trig Graphs & Circular Functions
3.5: Solving Trigonometric Functions & Equations
3.6: Sine & Cosine Rule, Area of a Triangle
3.7: Degrees v Radians
3.8: Vector Basics
3.9: Scalar Product & Angle Between Two Vectors
3.10: Vector Equation of a Line
3.11: Intersection of 2 Vector Lines
3.12: Vector Product
3.13: Equation of a Plane (Vectors)
3.14: Intersection of a Line & Plane
4.1: Mean, Standard Deviation & Variance
4.2: Bivariate Statistics
4.3: Venn Diagrams & Probability
4.4: Conditional Probability
4.5: Probability Distribution
4.6: Binomial Distribution
4.7: Normal Distribution
4.8: Bayes Theorem
4.9: Probability Density Functions
5.1: Differentiation Rules
5.2: Equation of a Tangent
5.3: Optimization & Calculus Curves
5.4: Integration Rules
5.5: Integration by Substitution
5.6: Kinematics
5.7: Integration by Parts
5.8: Volume of Revolution
5.9: L'Hôpital's Rule
5.10: Implicit Differentiation
5.11: Related Rates
5.12: Differential Equations
5.13: Maclaurin Series"
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IB Mathematics AA
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Frequently Asked Questions

Frequently Asked Questions About

IB Mathematics AA

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Math AA focuses deeply on abstract mathematical theory, algebra, calculus, and proof, preparing students for highly mathematical fields (Math, Physics, Engineering, etc.). Math AI emphasizes applying mathematics in real-world contexts, using technology and data analysis, suitable for social sciences, business, design, and similar fields.
Both levels cover 5 core topics. However, HL delves significantly deeper theoretically, including more complex concepts, proof techniques, and problems, especially in Algebra, Functions, and Calculus. HL demands a much higher level of abstract thinking and mathematical skill compared to SL.
The GDC is still a permitted tool in some parts of the Math AA exams (Paper 2, Paper 3-HL) to aid in calculations and exploration. However, the focus of Math AA is on understanding and applying theory, manual problem-solving skills, and rigorous logical reasoning, so the reliance on the GDC is less than in Math AI.
The Math AA IA (Mathematical Exploration) typically encourages students to explore more theoretical mathematical topics, such as proving a theorem, analyzing an abstract mathematical model, or conducting an in-depth study of a specific mathematical concept or field.
Math AA is an ideal preparation and often a prerequisite for university programs and careers that demand a very strong mathematical foundation and high-level analytical thinking, such as Pure Mathematics, Theoretical Physics, Engineering disciplines (Mechanical, Electrical, Aerospace, etc.), Computer Science (especially theoretical and AI specializations), Statistics, Econometrics, and Quantitative Finance.
Yes. Intertu Education provides trial classes for IB Mathematics AA. This is an excellent opportunity for you and your parents to directly experience our teaching methodology, meet our teachers, and assess suitability before deciding to enroll in the official course. Please contact our counseling department to learn more.
The tuition fee for IB Mathematics AA at Intertu Education depends on the chosen study hour package and the level of support service (Standard, Premium, Platinum) that parents select, aiming to best meet specific learning needs and goals. To receive a detailed fee quotation and advice on the most suitable study package, please contact Intertu's consulting team directly.