Zambia Grade 10 School Syllabus - Additional Mathematics

This syllabus outlines the subject matter for Additional Mathematics at the Grade 10 level in Zambia. It emphasizes an outcome-based approach to learning, focusing on practical application and problem-solving. The syllabus aims to equip learners with the necessary mathematical knowledge and skills for everyday life, further education, and future employment.

General Outcomes

The overarching goals of the Additional Mathematics syllabus are to:

• Develop clear mathematical thinking and expression.
• Build mathematical knowledge and skills applicable to various contexts.
• Enhance understanding of mathematical concepts to facilitate further study.
• Foster appreciation for mathematical problem-solving in everyday life.
• Enable learners to represent, interpret, and utilize data effectively.

Specific Topics Covered in Grade 10

The Grade 10 syllabus covers the following topics:

• 10.1 Coordinate Geometry: This section focuses on understanding and applying the principles of coordinate geometry, including calculating distances between points, finding midpoints, determining equations of straight lines, understanding parallel and perpendicular lines, and calculating areas of rectilinear figures.
• 10.2 Systems of Equations: Learners will explore different types of systems of equations, including linear and quadratic equations, and develop skills in solving them using various methods. This includes systems with three variables.
• 10.3 Functions: This topic introduces the concept of functions, including notation, domain, co-domain, and range. Learners will also study inverse functions, composite functions, and graphs of functions, with a focus on quadratic functions and inequalities.
• 10.4 Circular Measures: This section covers radian measure, arc length, and the area of a sector. Learners will develop skills in converting between radians and degrees and applying these concepts to solve problems.
• 10.5 Trigonometric Functions: This topic introduces the six trigonometric functions and their relationships. Learners will learn to find trigonometric ratios of special angles, draw graphs of trigonometric functions, solve trigonometric equations, and prove trigonometric identities.
• 10.6 Permutations and Combinations: This section explores the principles of permutations and combinations, including factorials. Learners will develop skills in calculating permutations and combinations and solving related problems.
• 10.7 Binomial Theorem: This topic introduces the binomial theorem and Pascal's Triangle. Learners will learn to expand binomial expressions and solve problems involving the binomial theorem.

Grades 11 and 12

The syllabus also provides a scope and sequence for Grades 10-12, indicating that topics like calculus (differentiation and integration), vectors, and further statistics are covered in the subsequent grades. This structured approach ensures a progressive development of mathematical understanding and skills throughout the senior secondary phase.