Affiliated to CAIE

Candidacy School for IB – PYP, MYP & DP

future-oriented

Mathematics Department

Even though everyone learns mathematics at school, it is difficult to define exactly what mathematics is. Clearly numbers, shapes and equations form part of it, but only a small part compared to the vast space of mathematical concepts and ideas. The best way to understand what mathematics is and what mathematicians work on – is to do mathematics.

IBDP course

Application of Mathematics

Despite being so abstract and theoretical, Mathematics has countless applications in every possible aspect of life. Without mathematics our civilisation would be little more advanced than the ancient Egyptians: we wouldn’t have governments funded by a tax system, no phones, no television, no computers, no internet and no satellite navigation. The cultural value and the monetary economic value of mathematics are too large to measure.

IBDP course

Language of the universe

Mathematics is also the language of the universe, from the electrochemical signals in our brain to the equations of General Relativity which govern the motion of stars and galaxies everywhere in the universe. It is one of humanity’s most noble endeavours to understand the universe we live in, and that would not be possible without mathematics.

IBDP course

Fundamental Ideas

One idea that appears everywhere in mathematics is abstraction. Instead of thinking about particular numbers, shapes, equations or any other objects, mathematicians tend to think about their underlying structures and patterns. This means that the results, called Theorems, are more general and provide deeper insight.
Another fundamental idea in mathematics is proof. Mathematicians can’t just say that an idea is true, or test it in a few cases. They need a rigorous and watertight argument to deduce that it is always true. Maybe this makes mathematics more difficult than other sciences, but it also means that mathematicians can obtain absolute and definitive knowledge – which is impossible in any other discipline.

Curriculum

Syllabus outline

Syllabus Component Suggested teaching hours - SL Suggested teaching hours - HL

Topic 1 - Number and algebra

16
29

Topic 2 - Functions

31
42

Topic 3 - Geometry and trigonometry

18
46

Topic 4 - Statistics and probability

36
52

Topic 5 - Calculus

19
41

The "toolkit" and Mathematical exploration
Investigative, problem-solving and modelling skills development leading to an individual exploration. The exploration is a piece of written work that involves investigating an area of mathematics.

30
30

Total teaching hours

150
240

IBDP course

Assessment outline

For SL

Assessment component Weighting
External Assessment (3 hours)
Paper 1 (90 minutes)
Technology required (80 marks)
Compulsory short-response questions based on the syllabus (80 marks)
80%
40%
Paper 2 (90 minutes)
Technology required (80 marks)
Compulsory extended-response questions based on the syllabus (80 marks)
40%
Internal Assessment: This component is internally assessed by the teacher and externally moderated by the IB at the end of the course.
Mathematical Exploration: Internal assessment in mathematics is an individual exploration. This is a piece of written work that involves investigating an area of mathematics.(20 marks)
20%

For HL

Internal assessment task Weighting
External assessment (5 hours)
Paper 1(120 minutes)
Technology required (110 marks)
Compulsory short response questions based on the syllabus.
80%
30%
Paper 2 (120 minutes)
Technology required (110 marks)
Compulsory extended response questions based on the syllabus
30%
Paper 3 (60 minutes)
Technology required (55 marks)
Two compulsory extended response problem-solving questions.
20%
Internal assessment: This component is internally assessed by the teacher and externally moderated by IB at the end of the course.
Mathematical Exploration: Internal assessment in mathematics is an individual exploration. This is a piece of written work that involves investigating an area of mathematics (20 marks)
20%

Share this:

Like this:

Like Loading...
X
wpChatIcon
%d bloggers like this: