"AA" stands for "Analysis and Approaches," and it is one of the two options available for the Higher Level (HL) Mathematics course. IB Math HL - Analysis and Approaches is an advanced and in-depth mathematics course that is designed for students who have a strong interest and aptitude in mathematics.

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Created by Tassawar Iqbal Last updated Fri, 20-Oct-2023 English
What will i learn?
  • The successful completion of the Math Analysis and Approaches (HL) course not only equips students with advanced mathematical knowledge but also helps develop essential skills that are valuable for academic and professional success in various fields that require strong analytical and problem-solving abilities.

Curriculum for this course
5 Topics
Numbers and Algebra
13 Sub Topics
  • Standard form
  • Arithmetic sequences and series.
  • Geometric sequences and series.
  • Financial Mathematics with A.P and G.P
  • Laws of exponents & Logarithms
  • Deductive and Inductive proofs
  • The binomial theorem
  • Counting principles, permutations and combinations.
  • Partial fractions.
  • Complex numbers
  • Systems of linear equations
  • The quadratic formula , The discriminant
  • Odd , even and Self-inverse functions
10 Sub Topics
  • Straight line, Gradient , Intercepts.
  • Function, domain, range and graph , inverse function
  • Composite functions
  • The quadratic function
  • The reciprocal function
  • Exponential functions
  • Logarithmic functions
  • Polynomial functions
  • Rational functions
  • Modulus equations and inequalities.
Geometry and Trigonometry
3 Sub Topics
  • Geometry & shapes
  • Trigonometric Functions
  • Vectors
4 Sub Topics
  • Statistics
  • Bivariate Statistics
  • Probability
  • Distributions
4 Sub Topics
  • Differential Calculus
  • Integral Calculus
  • Knematics
  • Maclaurin Series
Title Lectures Price
Inquiry Based Session-1 lesson 1 50$
Regular Package/ 4 lesson 4 200$
Standard Package/8 Lesson 8 340$
Premium Package/12 12 480$
Fast Track/16 Lesson 16 600$
  • O level
  • 10 Grade
  • For individuals who have a genuine passion for mathematics and aspire to achieve excellence in the subject.
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Math Analysis and Approaches (HL) is a course offered in the International Baccalaureate (IB) Diploma Programme. It is designed for students who have a strong background in mathematics and who are interested in pursuing a degree in mathematics, engineering, or a related field at the university level. The course aims to develop students' understanding of mathematical concepts and techniques, as well as their ability to apply these in real-world contexts.

The HL (Higher Level) component of the course is intended for students who wish to study mathematics in greater depth and with a more rigorous approach. It covers a wide range of topics in pure mathematics, including algebra, functions, trigonometry, vectors, calculus, and statistics. The emphasis is on developing a deep conceptual understanding of these topics and on applying mathematical reasoning and problem-solving skills to solve complex problems.

Some of the key areas covered in Math Analysis and Approaches (HL) include:

  1. Algebra: Polynomial equations, matrices, and complex numbers.
  2. Functions: Exponential, logarithmic, and trigonometric functions, and their properties.
  3. Calculus: Limits, derivatives, and integrals, including applications of differentiation and integration.
  4. Vectors: Vector equations, scalar and vector products, and lines and planes in 3D space.
  5. Statistics and Probability: Descriptive statistics, probability distributions, and statistical inference.

The HL course also places a strong emphasis on developing students' mathematical reasoning, communication, and presentation skills. Students are expected to be able to explain and justify mathematical concepts, solutions, and techniques clearly and concisely.

Overall, Math Analysis and Approaches (HL) provides a rigorous and comprehensive foundation in mathematics, preparing students for further studies in mathematics or related fields at the university level. It equips students with the necessary skills and knowledge to tackle complex mathematical problems and to apply mathematical concepts in various real-world contexts.

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Updated Wed, 18-Oct-2023
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About the instructor
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  • 1 Courses
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As an esteemed educator in the field of mathematics, I have demonstrated an unwavering commitment to fostering a deeper understanding of mathematical concepts among students. With a wealth of experience and a passion for teaching, I have made substantial contributions to the world of education.


Education and Professional Development:

I hold a Bachelor of Education (B.Ed) degree, which laid the foundation for an illustrious career in teaching. Building upon this strong educational background, they have furthered their academic pursuits by pursuing a Ph.D. in mathematics. This ongoing research effort reflects their dedication to advancing the frontiers of mathematical knowledge.


In recognition of the importance of professional development, I completed the International Baccalaureate (IB) Category-1 professional development workshop. This demonstrates their commitment to staying current with innovative teaching methods and approaches in the field of mathematics.


Teaching Experience:

With over three years of experience as an International Baccalaureate (IB) Diploma Program (IBDP) mathematics teacher, I have honed their expertise in guiding students through the complexities of mathematics. Their proficiency extends to both the Standard Level (SL) and Higher Level (HL) mathematics courses, demonstrating a versatile teaching style.


I have also dedicated more than seven years to teaching O & A Level and IGCSE mathematics, highlighting their depth of knowledge and skill in adapting to various educational curricula. This diverse experience equips them with a comprehensive understanding of the challenges and demands that students face in different educational contexts.


Professional Qualifications:

In addition to their academic qualifications and extensive teaching experience, I have earned a Postgraduate Certificate (PG Cert) in education. This credential underlines their commitment to professional growth and the enhancement of their teaching capabilities.


My multidimensional expertise, which spans academic qualifications, practical teaching experience, and a deep commitment to ongoing professional development, positions them as a remarkable figure in the field of mathematics education. Their contributions to the academic community and dedication to empowering students with mathematical knowledge mark them as a true leader in the realm of mathematics education.



As I continue my journey as a mathematics educator and researcher, their passion for the subject and their unwavering dedication to their students shine through as exemplary qualities. Their journey is a testament to the transformative power of education and the profound impact of educators who inspire and guide the next generation of mathematicians.

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