Mathematics — Category Pages

Geometric Shapes in Maths

A geometric shape is identified by properties such as its boundaries, angles, lengths and dimensions. Those properties remain meaningful when the shape is moved, turned or drawn at…

Area and Perimeter of Shapes

Perimeter measures the distance around a boundary. Area measures the size of a region. A fence follows a boundary; paving covers a region. The same drawing can support…

3D Coordinate Axes and Planes

An ordered pair locates a point in a plane. An ordered triple locates a point in three-dimensional space. The additional coordinate lets us distinguish positions that share the…

Trigonometric Ratios

Trigonometric ratios connect an angle with ratios of side lengths. In a right triangle, sine, cosine and tangent tell you how the opposite, adjacent and hypotenuse sides compare.…

Trigonometric Equations

A trigonometric equation asks for the angle or input values that make a relationship involving sine, cosine, tangent or another trigonometric function true. Because these functions repeat, a…

Trigonometric Identities

Trigonometric identities are equality statements that remain true for every input where both sides are defined. They let us rewrite expressions without changing their value, much as factoring…

Trigonometric Functions

Trigonometric functions turn angles into numerical outputs. Sine and cosine arise as coordinates on the unit circle; tangent compares those coordinates; secant, cosecant and cotangent are built from…

Trigonometry studies relationships between angles and lengths. These lessons connect right triangles, the unit circle, graphs, equations and identities. Trigonometry lessons Preparing for trigonometry Begin with Lines and…

Coordinate Geometry

Coordinate geometry uses numbers and equations to describe points, lines and curves. These lessons connect geometric relationships with coordinates, graphs and algebraic methods. Coordinate geometry lessons Preparing for…

Geometry

Geometry studies points, lines, angles, two-dimensional shapes and three-dimensional objects. These lessons develop geometric definitions, measurement methods and spatial reasoning through diagrams and worked examples. Geometry lessons Preparing…

Decimals

A metric ruler locating 2.6 centimetres as 26 millimetres: six millimetres beyond the 2 cm mark. Decimals use base-ten place value to write whole amounts and fractional parts…

Functions in Maths

A function is a relationship that assigns exactly one output to each input in its domain. The same output may come from several inputs, but one input cannot…