**Group 5: MathematicsMathematical Studies, Mathematics Standard Level, Mathematics Higher Level, Further Mathematics**

**Mathematics Higher Level**

**General**

Mathematical knowledge provides the key to understanding the world in which we live. Mathematics is studied for a number of important reasons; it is a part of our everyday lives, it develops logical and reasoned thinking, it is a powerful and precise language, it is the tool and language of science and technology, it is challenging, mentally rewarding, interesting and fun.

Mathematics is a compulsory subject and there are three options on offer, one Higher Level course and two Standard Level courses, which are tailored to suit the needs of individuals. In making the selection pupils should take account of the following.

**(i)**Their own abilities in mathematics.

**(ii)**Their own mathematical interests.

**(iii)**Their other choices of subjects within the IB.

**(iv)**Their future academic plans.

**(v)**Their possible career choices.

**Mathematics: Higher Level**

This programme is designed for pupils with a high level of mathematical competence and a good background in mathematics. It is essential for further studies in mathematics or related subjects such as Physics, Engineering and Technology.

**Syllabus Outline**

**Part I:**Compulsory Core

Number and Algebra, Functions and Equations, Trigonometry and Circular Functions, Vectors, Calculus, Statistics and Probability.

**Part II:**Options (A choice of one of the following:)

Further Statistics and Probability, Discrete Mathematics, Sets, Relations and Groups, Series and Differential Equations.

**Internal Assessment**

A mathematical exploration leading to a short report based on a syllabus topic chosen by the student.

**Assessment Outline**

**External Assessment 80%**

**Paper 1**- 2 hours - Core - without calculator - 30%

**Paper 2**- 2 hours - Core - with calculator - 30%

**Paper 3**- 1 hour - Option topic - 20%

**Internal Assessment 20%**

**Mathematics Standard Level**

This programme is designed for pupils with a good mathematical background and ability. It is designed to develop mathematical concepts and understanding, generating an appreciation of mathematics in pupils who anticipate a need for mathematics in their future studies. It is a demanding standard level IBCourse.***Syllabus Outline**

All topics listed are compulsory.

Number and Algebra, Functions and Equations, Trigonometry and Circular Functions, Vectors, Calculus, Statistics and Probability.**Internal Assessment**

A mathematical exploration leading to a short report based on a syllabus topic chosen by the student.**Assessment Outline**

External Assessment 80%

**Paper 1** - 1½hours - Without calculator - 40%**Paper 2** - 1½hours - With calculator - 40%**Internal Assessment 20%****German pupils who wish to attend a German university must take Mathematics Higher Level or Standard Level. Mathematical Studies is not recognised by the German Ministry of Education.***Mathematical Studies**

This programme is designed for pupils with varied mathematical backgrounds and abilities. It is designed to build mathematical competence and encourage an appreciation of mathematics in pupils who do not anticipate a need for mathematics in their future studies. It is the most accessible IB mathematics course and those who gain GCSE grades B&C (or equivalent) should be abletofollowthiscourse.***Syllabus Outline**

All topics listed are compulsory.

Number and Algebra, Sets and Logic, Geometry and Trigonometry, Functions, Financial

Mathematics, Statistics and Probability and Calculus.**Project**

A piece of individual work involving data collection, the analysis and evaluation of that data.**Assessment Outiline****External Assessment 80%****Paper 1** - 1½hours - Fifteen short response questions - 40%**Paper 2** - 1½hours - Six extended response questions - 40%

(but may differ)**Internal Assessment 20%**

Based wholly on the pupils’ Project.**German pupils who wish to attend a German university must take either Mathematics Higher Level or Standard Level. Mathematical Studies i s not recognised by the German Ministry of Educatio*

**Further Mathematics HL**

The Further Mathematics HL course has as co-requisite the regular Mathematics HL course. It is composed of the four Options of the HL (now called Topics, i.e. Statistics and Probability, Sets-Relations-Groups, Calculus and Discrete Mathematics) along with two other Topics namely, Linear Algebra and Geometry.

It is assessed only externally (i.e. there is no Internal Assessment work for this course). Students will sit two examinations of equal weight of duration two and a half hours each.

This course is primarily geared towards extremely gifted (mathematically) students who are also prepared to work very hard. Furthermore, they should have an open and inquisitive mind. The course is appropriate only for students who have a very strong liking for Mathematics and more or less will be studying some related field in their higher education.