Uganda Senior Six (S6) Mathematics

This course covers the essential mathematical skills necessary for effective participation in various aspects of life. It caters to learners who may continue to university as well as those entering the workforce directly after Senior Six. The curriculum emphasizes practical application and relevance to the world of work, equipping learners with problem-solving skills and preparing them for further learning or vocational training. The course comprises Pure Mathematics, Statistics, and Probability.

Subsidiary Mathematics

Subsidiary Mathematics focuses on providing learners with a range of mathematical skills applicable to everyday situations and other subjects. The syllabus aims to develop logical thought, build upon basic mathematical concepts, and empower learners to construct and apply mathematical models to real-world scenarios.

Senior Five Term 1:

• Matrices and their Applications: Covers matrix operations, determinants, inverses, and their application in solving simultaneous equations and real-life problems.
• Linear Programming: Introduces linear inequalities, graphing, and optimization techniques to maximize gains and minimize losses in real-life scenarios.
• Quadratics: Focuses on solving quadratic equations, finding roots, determining maximum and minimum values, and applying quadratics to real-life situations.
• Statistics: Covers data collection, organization, presentation, measures of central tendency (mean, mode, median), and measures of dispersion (range, variance, standard deviation).

Senior Five Term 2:

• Indices, Logarithms, and Surds: Includes simplifying expressions, solving equations, and performing operations involving indices, logarithms, and surds.
• Series: Covers patterns, sequences, arithmetic progressions, geometric progressions, and their applications in real-life situations.
• Permutations and Combinations: Introduces the concepts of permutations and combinations, factorial notation, and their application in solving problems.
• Moving Averages: Focuses on calculating and plotting moving averages, identifying trends, and using them for forecasting.
• Index Numbers: Covers calculating simple and weighted price index numbers, value indices, and cost of living indices, and their use in comparing relative changes.

Senior Five Term 3:

• Scatter Diagrams and Correlations: Introduces scatter diagrams, correlation concepts, and the Spearman's rank correlation coefficient.
• Vectors: Covers vector notations, operations, magnitude, direction, dot product, angle between vectors, and applications in two dimensions.
• Trigonometry: Includes trigonometric ratios, special angles, graphs of trigonometric functions, identities, and solving trigonometric equations.
• Probability Theory: Covers terminologies, experimental probability, probability laws, contingency tables, mutually exclusive and independent events, probability tree diagrams, and conditional probability.

Senior Six Term 1:

• Differentiation: Focuses on finding derivatives of functions, including linear, quadratic, cubic, and natural logarithmic functions, and applying them to maximization and minimization problems.
• Discrete Random Variables: Covers discrete random variables, probability mass functions, probability distribution tables, expectation, variance, standard deviation, and binomial distribution.

Senior Six Term 2:

• Integration: Includes definite and indefinite integrals, area under a curve, and applications to displacement, velocity, and acceleration.
• Continuous Random Variables: Covers continuous random variables, probability density functions, expectation, variance, and standard deviation.
• Normal Distribution: Introduces the normal distribution, its properties, standardization, standard normal distribution tables, and using them to determine probabilities.

Senior Six Term 3:

• Differential Equations: Covers the concept of differential equations, finding general and particular solutions, and solving problems related to natural occurrences.

Core Mathematics

The Core Mathematics syllabus builds upon the primary school curriculum and focuses on developing critical thinking, creativity, and problem-solving skills. It covers a range of topics across four years, culminating in the Senior Four examinations. The curriculum emphasizes the practical application of mathematics in everyday life and the workplace, preparing learners for further education and contributing to national development. The four main themes are Numbers, Geometry and Measures, Data and Probability, and Patterns and Algebra. The detailed syllabus can be found here: