IGCSE

IGCSE Add Math

IGCSE Additional Mathematics (Add Math) is a course designed to build upon the foundation of basic mathematics and expand students' mathematical knowledge and skills.

90%

of students score

A and above

78%

students get a top score of

A* in

IGCSE Add Math

80%

students showed exceptional
performance in their first semester of

IGCSE Add Math

Course Concept

IGCSE Additional Mathematics (Add Math) is a course designed to build upon the foundation of basic mathematics and expand students' mathematical knowledge and skills. It provides a deeper understanding of mathematical concepts and introduces more advanced topics that are essential for higher-level mathematics. It is divided in:

  • Algebra: Students develop their algebraic skills by solving equations, manipulating algebraic expressions, and applying algebraic techniques to various problems. Topics include quadratic equations, simultaneous equations, functions, and inequalities.
  • Geometry and Trigonometry: Students study geometric principles and relationships, including angles, polygons, circles, and geometric transformations. Trigonometry covers trigonometric functions, identities, and applications in solving triangles and problems involving angles.
  • Calculus: Students are introduced to the basic principles of calculus, including differentiation and integration. They learn to apply calculus concepts to solve problems related to rates of change, optimization, and area under curves.
  • Vectors: This section introduces the concept of vectors and their properties. Students learn to perform vector operations, such as addition, subtraction, scalar multiplication, and dot product. They apply vector principles to solve problems in both two-dimensional and three-dimensional space.
  • Statistics and Probability: Students explore statistical methods, including data representation, measures of central tendency and dispersion, and correlation. Probability concepts cover events, sample spaces, probability calculations, and basic probability distributions.
  • Matrices: Students learn about matrix operations, matrix algebra, and the application of matrices in solving systems of linear equations and transformations.

IGCSE Add Math

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Syllabus

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COURSE SYLLABUS PDF
1. Functions

IGCSE Additional Mathematics - 1. Functions introduces the concept of functions and their properties. Students learn about domain, range, and functional notation. This module provides insights into how mathematical relationships between variables can be represented and manipulated, forming the foundation for more advanced mathematical topics and applications.

10. Trigonometry

IGCSE Additional Mathematics - 10. Trigonometry covers the study of angles and relationships within triangles. Students learn about trigonometric ratios, the sine and cosine rules, and solving trigonometric equations. This module provides insights into the applications of trigonometry in various fields, such as geometry, physics, and engineering, fostering a deeper understanding of the properties of triangles and circular functions.

11. Permutations And Combinations

IGCSE Additional Mathematics - 11. Permutations and Combinations explores the counting and arrangement of objects. Students learn about permutation and combination formulas, factorials, and applications in probability and counting problems. This module provides insights into how to determine the number of ways objects can be arranged or selected, contributing to problem-solving skills in various mathematical contexts.

12. Series

IGCSE Additional Mathematics - 12. Series delves into the study of mathematical series, including arithmetic and geometric progressions. Students learn about sum formulas, finite and infinite series, and their applications. This module provides insights into the patterns and behavior of sequences of numbers, fostering skills in calculation and analysis of series in various mathematical and real-world scenarios.

13. Vectors In Two Dimensions

IGCSE Additional Mathematics - 13. Vectors in Two Dimensions focuses on the understanding and application of vectors in a two-dimensional plane. Students learn about vector representation, addition, subtraction, scalar multiplication, and dot product. This module provides insights into how vectors are used to describe quantities with both magnitude and direction, applicable in physics, engineering, and various mathematical contexts.

14. Calculus

IGCSE Additional Mathematics - 14. Calculus introduces students to the basics of calculus, including differentiation and integration. Learners study concepts like rates of change, gradients of curves, and the calculation of areas under curves. This module provides insights into mathematical tools used to analyze functions' behavior and their applications in various fields.

2. Quadratic Functions

IGCSE Additional Mathematics - 2. Quadratic Functions focuses on the study of quadratic equations and their graphical representation. Students learn about parabolic curves, vertex form, and solving quadratic equations using various methods. This module provides insights into the behavior of quadratic functions, their roots, and applications in real-world scenarios, enhancing algebraic skills and graphical analysis.

3. Factors Of Polynomials

IGCSE Additional Mathematics - 3. Factors of Polynomials involves the study of polynomial expressions and their factorization. Students learn techniques to factorize quadratic and higher-degree polynomials. This module provides insights into breaking down complex expressions into simpler factors, which is crucial in simplifying equations, solving equations, and understanding the behavior of polynomial functions.

4. Equations, Inequalities And Graphs

IGCSE Additional Mathematics - 4. Equations, Inequalities, and Graphs covers the study of algebraic equations and inequalities and their graphical representations. Students learn about linear and quadratic equations, as well as inequalities and their solutions. This module provides insights into the visual representation of mathematical relationships, enhancing skills in solving equations and interpreting graphs.

5. Simultaneous Equations

IGCSE Additional Mathematics - 5. Simultaneous Equations focuses on solving systems of equations with multiple variables. Students learn methods for solving linear and quadratic equations simultaneously. This module provides insights into solving real-world problems involving multiple unknowns, fostering skills in algebraic manipulation and critical thinking.

6. Logarithmic And Exponential Functions

IGCSE Additional Mathematics - 6. Logarithmic and Exponential Functions explores logarithms and exponential relationships. Students learn about properties of logarithms, solving exponential and logarithmic equations, and applications in real-world contexts. This module provides insights into the behavior of functions that involve rapid growth or decay, offering tools for modeling various natural phenomena and quantitative relationships.

7. Straight-Line Graphs

IGCSE Additional Mathematics - 7. Straight-Line Graphs involves the study of linear equations and their graphical representations. Students learn about slope, intercepts, and equations of lines. This module provides insights into the relationship between algebraic equations and their graphical interpretations, fostering skills in analyzing and drawing straight-line graphs, which are fundamental in various mathematical and scientific disciplines.

8. Coordinate Geometry Of The Circle

IGCSE Additional Mathematics - 8. Coordinate Geometry of the Circle focuses on the properties and equations of circles in the coordinate plane. Students learn about the standard form of a circle's equation, its center, and radius. This module provides insights into how algebraic techniques can be used to describe geometric shapes, enhancing skills in working with equations and visualizing geometric relationships.

9. Circular Measure

IGCSE Additional Mathematics - 9. Circular Measure involves the exploration of angles and measurements within circles. Students learn about radian measure, arc length, and sector area calculations. This module provides insights into the connection between angles and circular measurements, contributing to an understanding of trigonometric concepts and their applications in various mathematical and scientific contexts.

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Our team of teachers boast top 1% scores for the subjects they teach. All of our teachers have demonstrated an exceptional ability to convey material in a fun, personalized, and results-driven way.

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With AP Guru, you will get...
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Here’s What AP Guru’s Alumni Say

Suyash Tapia

A* in A Level Physics

Superb! Chirag and all the AP Guru that were provided gave my son the boost in confidence and the knowledge to complete his A level's with a self-assurance that had been previously missing. The gut feeling is that he has done really well and will achieve a minimum of A grades in Physics, Chemistry & Maths, which will secure his place at Uni. Thanks to AP Guru!

Suyash Tapia

A* in A Level Math

Superb! Chirag and all the AP Guru that were provided gave my son the boost in confidence and the knowledge to complete his A level's with a self-assurance that had been previously missing. The gut feeling is that he has done really well and will achieve a minimum of A grades in Physics, Chemistry & Maths, which will secure his place at Uni. Thanks to AP Guru!

Ash Russell

A* in A Level Chemistry

AP Guru Group is nothing short of excellent. The process from start to finish; matching with the right tutor, setting up lessons, receiving feedback, and being made aware of updates (the list goes on) was seamless, personable, and dependable.

Ash Russell

A* in A Level Physics

AP Guru Group is nothing short of excellent. The process from start to finish; matching with the right tutor, setting up lessons, receiving feedback, and being made aware of updates (the list goes on) was seamless, personable, and dependable.

Eli Reid

A in Math and Physics

The team at AP Guru has been great and really helped with my children. Chirag was so friendly and knowledgeable and has been invaluable in this difficult time. Thank you!!

Denny Flores

A* in A level Maths

Kavita was a wonderful tutor for my daughter during the months running up to A-level Maths. She clearly explained the areas that my daughter was struggling with. In addition to covering problem topics, Kavita boosted my daughter's confidence, which is almost as important as the academic content. I couldn't rate Kavita more highly.

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A* in A-level Physics

I used AP Guru for about 4 years for my girls - GCSEs, and A levels. They were really helpful in providing the appropriate tutors for different subjects and working around their schedule. Highly recommended!

Gualberto Anu

A* in A-level Further Math

I used AP Guru for about 4 years for my girls - GCSEs, and A levels. They were really helpful in providing the appropriate tutors for different subjects and working around their schedule. Highly recommended!

Gualberto Anu

A* in A-level Chemistry

I used AP Guru for about 4 years for my girls - GCSEs, and A levels. They were really helpful in providing the appropriate tutors for different subjects and working around their schedule. Highly recommended!

Gia Shah

A in A Level Chemistry

We were delighted with the outcome of Harry's tutoring from AP Guru. Chirag and his team were extremely knowledgeable and professional and met our requirements exactly. We would not hesitate to recommend AP Guru.

Gia Shah

A* in A Level Math

We were delighted with the outcome of Harry's tutoring from AP Guru. Chirag and his team were extremely knowledgeable and professional and met our requirements exactly. We would not hesitate to recommend AP Guru.

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