Mathematics Secondary 5 SO:

Mathematics meets strategy. You’ll use systems of linear inequalities to model real situations with constraints, then apply optimization techniques to find the most efficient or cost-effective solution. This is where reasoning meets decision-making.

You’ll explore new families of functions — radical, absolute value, and rational — learning to describe their domains, ranges, and transformations. Each brings a unique shape and meaning to how we model real phenomena.

You’ll see how exponential growth and decay shape the world — from population models to finance. Then, you’ll meet their mirror: logarithms. You’ll learn the rules, graphs, and equations of both, understanding how they connect multiplicative and additive reasoning in one elegant system.

You’ll extend trigonometry beyond triangles into continuous functions. Using radians and the unit circle, you’ll study the sine, cosine, and tangent functions — exploring their graphs, periodicity, and identities. Trigonometry becomes a bridge between geometry and wave-like motion.

You’ll study vectors as tools for representing movement, direction, and force. From their components and norms to their algebraic and geometric operations, you’ll learn to add, subtract, and scale vectors — and to use the scalar product and linear combinations to describe spatial relationships precisely.

Circles, ellipses, parabolas, and hyperbolas — geometry in motion. You’ll explore how each conic arises from a simple plane cut through a cone, revealing how algebra and geometry unite to describe elegant curves found everywhere in mathematics, physics, and design.