# Cambridge IGCSE Mathematics (US)

This syllabus is available only to Centers participating in the NCEE Excellence for All initiative in the USA. An essential subject for all learners, Cambridge IGCSE Mathematics (US) encourages the development of mathematical knowledge as a key life skill, and as a basis for more advanced study. The syllabus aims to build learners' confidence by helping them develop a feel for numbers, patterns and relationships, and places a strong emphasis on solving problems and presenting and interpreting results. Learners also gain an understanding of how to communicate and reason using mathematical concepts.

**Aims of the Course**

The aims are to enable students to-

• Develop their mathematical knowledge and oral, written, and practical skills in a way that encourages confidence and provides satisfaction and enjoyment

• Read mathematics, and write and talk about the subject in a variety of ways

• Develop a feel for numbers, carry out calculations, and understand the significance of the results obtained

• Apply mathematics in everyday situations and develop an understanding of the part that mathematics plays in the world around them

• Solve problems, present the solutions clearly, check and interpret the results

• Develop an understanding of mathematical principles

• Recognize when and how a situation may be represented mathematically, identify and interpret relevant factors, and, where necessary, select an appropriate mathematical method to solve the problem

• Use mathematics as a means of communication with emphasis on the use of clear expression

• Develop an ability to apply mathematics in other subjects, particularly science and technology

• Develop the abilities to reason logically, to classify, to generalize, and to prove

• Appreciate patterns and relationships in mathematics

• Produce and appreciate imaginative and creative work arising from mathematical ideas

• Develop their mathematical abilities by considering problems and conducting individual and cooperative enquiry and experiment, including extended pieces of work of a practical and investigative kind

• Appreciate the interdependence of different branches of mathematics

• Acquire a foundation appropriate to their further study of mathematics and of other disciplines.

**Syllabus**

- Number
- Algebra
- Functions
- Geometry
- Transformations and Vectors
- Geometrical Measurement
- Coordinate Geometry
- Trigonometry
- Probability
- Statistics

**Objectives of Assessment**

The assessment objectives are-

• Organize, interpret, and present information accurately in written, tabular, graphical, and diagrammatic forms

• Perform calculations by suitable methods

• Use an electronic calculator and also perform some straightforward calculations without a calculator

• Understand systems of measurement in everyday use and make use of them in the solution of problems

• Estimate, approximate, and work to degrees of accuracy appropriate to the context and convert between equivalent numerical forms

• Use mathematical and other instruments to measure and to draw to an acceptable degree of accuracy

• Interpret, transform, and make appropriate use of mathematical statements expressed in words or symbols

• Recognize and use spatial relationships in two and three dimensions, particularly in solving problems

• Recall, apply, and interpret mathematical knowledge in the context of everyday situations

• Make logical deductions from given mathematical data

• Recognize patterns and structures in a variety of situations, and form generalizations

• Respond to a problem relating to a relatively unstructured situation by translating it into an appropriately structured form

• Analyze a problem, select a suitable strategy, and apply an appropriate technique to obtain its solution

• Apply combinations of mathematical skills and techniques in problem solving

• Set out mathematical work, including the solution of problems, in a logical and clear form using appropriate symbols and terminology

• Present concise reasoned arguments to justify solutions or generalizations, using symbols, diagrams or graphs and related explanations.

**Assessment**

**Paper 1 (Core)**

1 hour

Weighting- 35%

56 marks

Short-answer questions. Questions will be based on the Core curriculum. Calculators are not permitted. Externally assessed.

**Paper 2 (Extended)**

1 hour 30 minutes

Weighting- 35%

70 marks

Short-answer questions

Questions will be based on the Extended curriculum. Calculators are not permitted. Externally assessed.

**Paper 3 (Core)**

2 hours

Weighting- 65%

104 marks

Structured questions. Questions will be based on the Core curriculum. Scientific calculators are required. Externally assessed.

**Paper 4 (Extended)**

2 hours 30 minutes

Weighting- 65%

130 marks

Structured questions. Questions will be based on the Extended curriculum. Scientific calculators are required. Externally assessed.

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