The Mathematics Higher Level (HL) course focuses on introducing important mathematical concepts through the development of mathematical techniques. The intention is to introduce students to these concepts in a comprehensible and coherent way, rather than insisting on the mathematical rigour required for Mathematics HL. Students should, wherever possible, apply the mathematical knowledge they have acquired to solve realistic problems set in an appropriate context.The internally assessed component, the Exploration, offers students the opportunity for developing independence in their mathematical learning. Students are encouraged to take a considered approach to various mathematical activities and to explore different mathematical ideas. The Exploration also allows students to work without the time constraints of a written examination and to develop the skills they need for communicating mathematical ideas.This course does not have the depth found in the mathematics HL courses. Students wishing to study subjects with a high degree of mathematical content should therefore opt for a Mathematics HL course. The majority of Mathematics SL 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.
Areas of Study
binomial theorem • sequences • series • numerical logarithms • quadratics • exponential and logarithmic functions • trigonometric functions • unit circle • analytical trigonometry • triangle trigonometry • vectors • descriptive statistics • probability • distributions • differential calculus • integral calculus
Examination Structure
The Mathematics SL program is a two year course that culminates in two formal examination papers to be written at the end of the course. This examination is externally set by the IB organisation and is worth 80% of the final mark. The exam is intended for students to show what they know and what they can do. Together, the papers are comprised of questions which address the entire syllabus although not all topics will appear on any one paper. For Paper 1, students are not allowed access to a calculator of any kind, while on Paper two, students must have access to a graphic display calculator. There are two sections A and B on each paper.
Internal Assessment
In addition to an examination, students will participate in an Exploration which makes up the remaining 20% of their IB grade. The Exploration is an opportunity for students to select an area of mathematical interest and investigate that area in some depth. The Exploration will take the form of a report that will be marked by the teacher according to preset criteria and then moderated externally by the IB organisation to ensure consistency in applying the criteria.