Zambia Grade 11 Mathematics Syllabus

This syllabus outlines the expected learning outcomes, topics, and assessment criteria for Grade 11 Mathematics in Zambia. It aims to equip learners with the necessary mathematical knowledge, skills, and values to apply them in everyday life and further studies. The syllabus follows an outcome-based education approach, emphasizing learner-centered activities and practical application of concepts.

General Outcomes

Upon completion of this course, learners should be able to:

• Demonstrate clear mathematical thinking and expression.
• Apply mathematical concepts to real-life situations.
• Develop problem-solving skills using mathematical knowledge.
• Prepare for further studies in mathematics and related fields.
• Utilize mathematical tools and technology effectively.
• Appreciate the importance of mathematics in various disciplines.

Key Competences

Learners will develop the following key competences:

• Apply mathematical concepts in everyday life and other subjects.
• Solve mathematical and other related problems accurately.
• Use mathematical skills in other disciplines.
• Demonstrate creativity and imagination through mathematical work.
• Reason logically, communicate mathematically, and learn independently.
• Develop positive attitudes towards mathematics.

Topics Covered

The Grade 11 Mathematics syllabus covers the following topics:

• Approximations: Relative and absolute errors, tolerance, percentage error, estimation.
• Sequences and Series: Arithmetic and geometric progressions, nth term, sum of series, arithmetic and geometric means, sum to infinity.
• Coordinate Geometry: Length of a line segment, midpoint, gradient, equation of a straight line, parallel and perpendicular lines.
• Relations and Functions: Inverse functions, composite functions, applications of linear functions.
• Quadratic Functions: Quadratic functions and their graphs, sketching graphs, maximum and minimum values, roots/zeros.
• Quadratic Equations: Solving quadratic equations using graphical method, factorization, completing the square, and quadratic formula. Applications of quadratic equations.
• Variation: Direct, inverse, joint, and partial variation. Graphs of variation and problem-solving involving variations.
• Circle Theorems: Properties of circles, angle properties, tangent properties.
• Construction and Loci: Constructing line and angle bisectors, loci of points in two and three dimensions, constructing tangents to circles.
• Trigonometry: Trigonometric ratios, special angles, sine and cosine rules, area of triangles, trigonometric equations, graphs of trigonometric functions, applications of trigonometry.
• Mensuration: Area of sectors, surface area and volume of three-dimensional figures (pyramids, cones, prisms, frustums).
• Probability: Laws of probability, tree diagrams, grids, mutually exclusive events, compound events, independent events, applications of probability.
• Statistics: Cumulative frequency tables and curves, measures of dispersion (range, interquartile range, semi-interquartile range, percentiles, variance, standard deviation).

Recommended Textbook:

• Progress in Mathematics (Zambia): Grade 11: Learner's Book by M. Chiyaka, F. Finch, and S. M. Muke.

Assessment

Learners will be assessed through continuous assessment and a final examination conducted by the Examinations Council of Zambia. Continuous assessment will involve various methods such as tests, assignments, projects, and practical exercises. The final examination will cover the entire syllabus.