Maths

subject outline

Topics

• Fractions, Decimals, Approximations and Percentages

  This module covers fundamental arithmetic with fractions, decimals, and applications of percentages and approximations.

• Indices, Logarithms and Surds

  Examine the laws and applications of indices, logarithms, and surds in problem-solving.

• Sets

  Understand different types of sets and their applications, including Venn diagrams.

• Polynomials

  Study properties, operations, and graphical representation of polynomials up to degree 3.

• Variation

  Explore different types of variation and their application to percentage change.

• Inequalities

  Learn analytical and graphical methods for solving linear and quadratic inequalities.

• Progression

  Understand arithmetic and geometric progressions, including finding the nth term and sum.

• Binary Operations

  Examine properties of binary operations, including identity and inverse elements.

• Matrices and Determinants

  Perform algebra of matrices and calculate determinants and inverses for specified matrix sizes.

• Euclidean Geometry

  Study properties of angles, lines, polygons, circles, and geometric constructions.

• Mensuration

  Calculate lengths, areas, and volumes for various plane and solid geometrical figures, including spherical Earth.

• Coordinate Geometry

  Apply coordinate geometry principles to lines, including distance, midpoint, gradient, and equations.

• Trigonometry

  Study trigonometric ratios, angles, bearings, and apply trigonometric formulae to solve problems.

• Differentiation

  Introduction to limits of functions and differentiation of algebraic and simple trigonometric functions.

• Application of differentiation

  Apply differentiation principles to solve problems involving rates of change, maxima, and minima.

• Integration

  Learn integration of algebraic and simple trigonometric functions, and calculate area under the curve.

• Measures of Location

  Calculate and interpret measures of central tendency for ungrouped and grouped data.

• Probability

  Understand experimental probability and principles of addition and multiplication of probabilities.