Mathematics: Analysis and Approaches (HL/SL)

Entry Guidance

Mathematics: Analysis and Approaches at SL and HL is appropriate for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and to develop strong skills in mathematical thinking. They will also be fascinated by exploring real and abstract applications of these ideas, with and without the use of technology. Students who take Mathematics: Analysis and Approaches will be those who enjoy the thrill of mathematical problem solving and generalisation. This subject is aimed at students who will go on to study subjects with substantial mathematics content such as Mathematics, Engineering, Physical Sciences or Economics.

Course Aims

The mathematics courses aim to contribute to students' personal attributes, subject understanding and global awareness by enabling them to:

• Develop a curiosity and enjoyment of mathematics, and appreciate its elegance and power.

• Develop an understanding of the concepts, principles and nature of mathematics.

• Communicate mathematics clearly, concisely and confidently in a variety of contexts.

• Develop logical and creative thinking, and patience and persistence in problem solving to instil confidence in using mathematics.

• Employ and refine their powers of abstraction and generalisation.

• Take action to apply and transfer skills to alternative situations, to other areas of knowledge and to future developments in their local and global communities.

• Appreciate how developments in technology and mathematics influence each other.

• Appreciate the moral, social and ethical questions arising from the work of mathematicians and its applications.

• Appreciate the universality of mathematics and its multicultural, international and historical perspectives.

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

• Develop the ability to reflect critically upon their own work and the work of others.

• Independently and collaboratively extend their understanding of mathematics.

Course Content

All topics are compulsory:

• Algebra

• Functions and equations

• Circular functions and trigonometry

• Vectors (HL only)

• Statistics and probability

• Calculus

Assessment Outline

HL Assessment Component Weighting

External Assessment (5 hours) 80%

• Paper 1: No technology required (2 hours; 110 marks)

Section A - Compulsory short-response questions based on the syllabus

Section B - Compulsory extended-response questions based on the syllabus

• Paper 2: Technology required (2 hours; 110 marks)

Section A - Compulsory short-response questions based on the syllabus Section B - Compulsory extended-response questions based on the syllabus

• Paper 3: Technology required (1 hour; 55 marks)

30%

30%

Two compulsory extended-response problem solving questions 20%

Internal Assessment 20%

• Mathematical exploration

• This is a piece of written work that involves investigating an area of mathematics (20 marks)

SL Assessment Component Weighting

External Assessment (3 hours) 80%

• Paper 1: No technology allowed (1 hour 30 minutes; 80 marks)

Section A - Compulsory short-response questions based on the syllabus Section B - Compulsory extended-response questions based on the syllabus

• Paper 2: Technology required (1 hour 30 minutes; 80 marks)

Section A - Compulsory short-response questions based on the syllabus

Section B - Compulsory extended-response questions based on the syllabus

40%

40%

Internal Assessment 20%

• Mathematical exploration

• This is a piece of written work that involves investigating an area of mathematics (20 marks)

For Further Advice

Contact Emma Chamberlain, Head of Mathematics: Emma.Chamberlain@dulwich-seoul.kr