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Group 5 Mathematics

Courses offered:

**Mathematics** (SL, HL)

The aims of all courses in Group 5 Mathematics are to enable students to

Enjoy mathematics, and develop an appreciation of the elegance and power of mathematics;

Develop an understanding of the principles and nature of mathematics;

Communicate clearly and confidently in a variety of contexts;

Develop logical, critical and creative thinking, and patience and persistence in problem-solving;

Employ and refine their powers of abstraction and generalization;

Apply and transfer skills to alternative situations, to other areas of knowledge and to future developments;

Appreciate how developments in technology and mathematics have influenced each other;

Appreciate the moral, social and ethical implications arising from the work of mathematicians and the applications of mathematics;

Appreciate the international dimension in mathematics through an awareness of the universality of mathematics and its multicultural and historical perspectives;

Appreciate the contribution of mathematics to other disciplines, and as a particular “area of knowledge” in the TOK course

** A. Mathematics** SL

This course caters for students who already possess knowledge of basic mathematical concepts, and who are equipped with the skills needed to apply simple mathematical techniques correctly. The majority of these students will expect to need a sound mathematical background as they prepare for future studies in subjects such as chemistry, economics, psychology and business administration.

The course consists of the study of six topics.

Requirements:

All topics are compulsory. Students must study all the sub-topics in each of the topics in the syllabus.

There is also prerequisite knowledge required for this course.

Topic 1: Algebra

Topic 2: Functions and equations

Topic 3: Circular functions and trigonometry

Topic 4: Vectors

Topic 5: Statistics and probability

Topic 6: Calculus

Internal Assessment:

Internal assessment in mathematics SL is an individual exploration. This is a piece of

written work that involves investigating an area of mathematics.

**B. Mathematics** HL

This course caters for students with a good background in mathematics who are competent in a range of analytical and technical skills. The majority of these students will be expecting to include mathematics as a major component of their university studies, either as a subject in its own right or within courses such as physics, engineering and technology. Others may take this subject because they have a strong interest in mathematics and enjoy meeting its challenges and engaging with its problems.

The course consists of the study of seven core topics and one option topic.

Requirements:

All topics in the core are compulsory. Students must study all the sub-topics in each of the topics in the syllabus as listed in this guide. There is also prerequisite knowledge required for this course.

Topic 1: Algebra

Topic 2: Functions and equations

Topic 3: Circular functions and trigonometry

Topic 4: Vectors

Topic 5: Statistics and probability

Topic 6: Calculus

Option syllabus content:

Students must study all the sub-topics in one of the following options as listed below:

Option 1: Statistics and probability

Option 2: Sets, relations and groups

Option 3: Calculus

Option 4: Discrete mathematics

Internal Assessment:

Internal assessment in mathematics HL is an individual exploration. This is a piece

of written work that involves investigating an area of mathematics.

Group 5 - Mathematics (HL, SL) Assessment Outline |
||

Maths HL |
Maths SL |
% of Final Grade |

Internal Assessment | Internal Assessment | 20 (HL) / 20 (SL) |

Paper 1 | Paper 1 | 30 (HL) / 40 (SL) |

Paper 2 | Paper 2 | 30 (HL) / 40 (SL) |

Paper 3 | NA | 20 (HL only) |