Additional Mathematics (Zimbabwe Form 1-4)

This course expands upon the foundational mathematical skills learned in the regular mathematics course, preparing students for higher-level mathematics and related fields. It emphasizes problem-solving, application to other subjects (especially science and technology), and developing mathematical awareness and confidence.

Aims

The Additional Mathematics syllabus aims to enable learners to:

• Develop mathematical skills applicable to industry and technology.
• Build a strong foundation for advanced mathematical studies.
• Apply mathematical skills in research and other advanced techniques.
• Integrate mathematical concepts into other learning areas.
• Appreciate the role of mathematics in personal, community, and national development.
• Effectively utilize ICT tools for mathematical problem-solving.
• Apply mathematical skills and knowledge in real-life situations.
• Enhance confidence, critical thinking, innovation, creativity, and problem-solving skills for sustainable development.

Assessment Objectives

The examinations assess the candidates' ability to:

1. Recall and apply mathematical techniques. 2. Interpret and utilize mathematical data, symbols, and terminology. 3. Understand numerical, algebraic, and spatial concepts and relationships. 4. Identify the appropriate mathematical procedure for a given situation. 5. Formulate problems mathematically and select and apply suitable solution techniques.

Examination Structure

The examination consists of two papers, each lasting 2.5 hours.

Paper 1: Pure Mathematics (100 marks)

• Section A (52 marks): Compulsory short-answer structured questions.
• Section B (48 marks): Six longer structured questions, from which candidates answer four.

Paper 2: Mechanics and Statistics (100 marks)

• Section A (40 marks): Four compulsory structured questions from Mechanics and Statistics.
• Section B (60 marks): Seven Mechanics questions, from which candidates answer five.
• Section C (60 marks): Seven Probability and Statistics questions, from which candidates answer five.

Syllabus Content

The syllabus covers a range of topics in pure mathematics, mechanics, probability, and statistics. Prior knowledge of the Ordinary Level Mathematics syllabus is assumed.

Pure Mathematics:

• Indices and Irrational Numbers
• Polynomials (including Factor and Remainder Theorems)
• Algebraic Identities, Equations, and Inequalities
• Sequences and Series (Arithmetic and Geometric Progressions)
• Coordinate Geometry in Two Dimensions
• Functions (including Inverse and Composite Functions)
• Quadratic Functions
• Logarithmic and Exponential Functions
• Trigonometric Functions
• Differentiation (including Applications to Gradients, Tangents, Normals, Stationary Points, and Rates of Change)
• Integration (including Applications to Area and Volume)

Mechanics:

• Kinematics of Motion in a Straight Line
• Forces and Equilibrium (including Friction)
• Newton's Laws of Motion
• Energy, Work, and Power

Probability and Statistics:

• Probability (including Set Language, Approaches to Probability, Addition and Product Rules, and Conditional Probability)
• Data Collection and Presentation
• Measures of Central Tendency and Dispersion
• Discrete and Continuous Probability Distributions (including Binomial Distribution)
• Normal Distribution
• Sampling Methods
• Estimation

Continuous Assessment

Continuous assessment contributes 30% to the final grade and includes topic tasks, written tests, end-of-term examinations, and a project. This assessment focuses on practical activities, problem-solving, and soft skills development.