Cambridge IGCSE Mathematics - Additional
Cambridge IGCSE Additional Mathematics supports learners in building competency, confidence and fluency in their use of techniques and mathematical understanding. This course helps learners to develop a feel for quantity, patterns and relationships. Learners will develop their reasoning, problem-solving and analytical skills in a variety of contexts. It provides a strong foundation of mathematical knowledge both for candidates studying mathematics at a higher level and those who will require mathematics to support skills in other subjects. It is designed to stretch the most able candidates and provides a smooth transition to Cambridge AS & A Level Mathematics.
Aims of the Syllabus
The aims are to enable students to-
• Develop an understanding of mathematical principles, concepts and methods in a way which encourages confidence, provides satisfaction and enjoyment, and develops a positive attitude towards mathematics
• Develop a feel for number and understand the significance of the results obtained
• Apply mathematics in everyday situations and develop an understanding of the part that mathematics plays in learners’ own lives and the world around them
• Analyse and solve problems, present the solutions clearly, and check and interpret the results
• Recognise when and how a situation may be represented mathematically, identify and interpret relevant factors, select an appropriate mathematical method to solve the problem, and evaluate the method used
• Use mathematics as a means of communication with emphasis on the use of clear expression and structured argument
• Develop an ability to apply mathematics in other subjects, particularly science and technology
• Develop the ability to reason logically, make deductions and inferences, and draw conclusions
• Appreciate patterns and relationships in mathematics and make generalisations
• Appreciate the interdependence of different areas of mathematics
• Acquire a foundation for further study of mathematics or for other disciplines.
Syllabus
- Functions
- Quadratic functions
- Equations, inequalities and graphs
- Indices and surds
- Factors of polynomials
- Simultaneous equations
- Logarithmic and exponential functions
- Straight line graphs
- Circular measure
- Trigonometry
- Permutations and combinations
- Series
- Vectors in two dimensions
- Differentiation and integration
Objectives of Assessment
The assessment objectives (AOs) are:
1. Demonstrate knowledge and understanding of mathematical techniques
Candidates should be able to recall and apply mathematical knowledge, terminology and definitions to carry out routine procedures or straightforward tasks requiring single or multi-step solutions in mathematical or everyday situations including-
• Organising, processing and presenting information accurately in written, tabular, graphical and diagrammatic forms
• Using and interpreting mathematical notation correctly
• Performing calculations and procedures by suitable methods, including using a calculator
• Understanding systems of measurement in everyday use and making use of these
• Estimating, approximating and working to degrees of accuracy appropriate to the context and converting between equivalent numerical forms
• Using geometrical instruments to measure and to draw to an acceptable degree of accuracy
• Recognising and using spatial relationships in two and three dimensions.
2. Reason, interpret and communicate mathematically when solving problems
Candidates should be able to analyse a problem, select a suitable strategy and apply appropriate techniques to obtain its solution, including-
• Making logical deductions, making inferences and drawing conclusions from given mathematical data
• Recognising patterns and structures in a variety of situations, and forming generalisations
• Presenting arguments and chains of reasoning in a logical and structured way
• Interpreting and communicating information accurately and changing from one form of presentation to another
• Assessing the validity of an argument and critically evaluating a given way of presenting information
• Solving unstructured problems by putting them into a structured form involving a series of processes
• applying combinations of mathematical skills and techniques using connections between different areas of mathematics in problem solving
• Interpreting results in the context of a given problem and evaluating the methods used and solutions obtained.
Assessment
Paper 1 (Core)
Weightage- 35%
56 marks
Short-answer questions
Questions will be based on the Core curriculum
Externally assessed
1 hour
Paper 2 (Extended)
Weightage- 35%
70 marks
Short-answer questions
Questions will be based on the Extended curriculum
Externally assessed
1 hour 30 minutes
Paper 3 (Core)
Weightage- 65%
104 marks
Structured questions
Questions will be based on the Core curriculum
Externally assessed
2 hours
Paper 4 (Extended)
Weightage- 65%
130 marks
Structured questions
Questions will be based on the Extended curriculum
Externally assessed
2 hours 30 minutes
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