Description:
This course is designed to strengthen students' mathematical skills and problem-solving abilities in line with the local curriculum. The course provides clear explanations, step-by-step guidance, and ample practice exercises. Through interactive lessons and real-life applications, students develop a deeper understanding of mathematical concepts and build confidence in tackling exam questions. Ideal for students aiming to improve their academic performance or prepare for standardized tests, this course fosters critical thinking and a strong foundation in mathematics for long-term success.

Levels: P1 – P6, S1 – S6

Description:
This course introduces students to the foundational pillars of mathematics (i.e., algebra, geometry, andtrigonometry). It will emphasise algebraic thinking, bridging arithmetic to linear equations, polynomials, factoring, and rational expressions in an intuitive manner. Along the way, students uncover vital connections between algebra and spatial reasoning through coordinate geometry and an introduction to trigonometry. Throughout the course, students will develop critical thinking skills by manipulating variables, solving linear systems, and applying mathematics to practical and specific situations. By synthesising these diverse tools, learners build the confidence to tackle word problems systematically. Ultimately, the course builds towards an introductory study of quadratic, exponential, and logarithmic functions. Upon completion, students walk away with a robust mathematical foundation, equipped with the logical reasoning and analytical skills necessary for future academic success.

Levels: S1 – S3

Description:
The course is designed to elevate students' mathematical fluency from basic algebraic thinking to understanding and applying skills involving the idea of functions and their properties. Students will learn to graph and manipulate absolute value, square root, reciprocal, exponential, and logarithmic functions, mastering transformations of functions and inverses, and interpreting their meaning. They will also be introduced to unit circle trigonometry and sinusoidal and tangent functions, which generalise the relationships previously established in basic triangle trigonometry. Along the way, students will develop robust problem-solving skills by tackling real-world scenarios involving exponential growth and decay, periodic phenomena, and applications of arithmetic and geometric sequences and series. Overall, rather than learning how to memorise concepts, students will build deep conceptual understanding so then they are prepared to walk away with the analytical tools to confidently interpret, model, and solve complex mathematical scenarios.

Levels: S3 – S4

Description:
This course is designed to develop a deeper understanding of algebra, trigonometry, functions, and discrete mathematics, and introduce the concept of vectors. Building on the foundational understanding of functions, students will continue exploring the behaviour and transformations of polynomial, rational, exponential, logarithmic, and trigonometric functions; in addition, students will learn to compute compositions of trigonometric expressions, prove a larger variety of trigonometric identities, and solve a more diverse range of trigonometric equations. The course culminates in discrete mathematics and vectors, moving from sequences and series into the two - and three - dimensional study of vectors, especially the geometry of lines and planes. Overall, students will develop different graphing skills, enhance their algebraic fluency, and the extend their ability to model phenomena—from exponential growth and decay, to compound interest, to simple harmonic motion, and to combining trigonometry with vectors to solve problems. By the end, students will acquire the analytical toolkit needed to approach calculus and university-level mathematics with confidence.

Levels: S4 – S5

Description:
This Calculus course is taught using an intuitive approach, building on algebra, trigonometry, and functions. Students will learn about limits, why they matter, and how to evaluate them for various functions, connecting these concepts to continuity and asymptotes. Students will then apply limits to find the slope of a curve and the equations of its tangent and normal lines at a point. Students are introduced toderivatives, their rules, and how to use them to analyse different types of functions. They will explore how derivatives are used in both theory and real-world problems, including L’Hôpital’s Rule, linear approximation, graph analysis, optimisation, and related rates. Key theorems and derivative tests help deepen the understanding of function behaviour. The course covers approximating area under curves with Riemann Sums and introduces integrals as the inverse of derivatives. Students will learn key techniques and theorems for evaluating definite and indefinite integrals. Finally, they will use integrals to find exact area between curves, volumes of solids of revolution, arc lengths of curves over an interval, and area of surfaces of revolution. The course offers optional brief lessons on first-order separable differential equations.

Levels: S5 – S6