5-ci Qrup, Riyaziyyat

1. Algebra Vectors Calculus
Functions and
equations
Statistics and
probability
Circular
functions and
trigonometry
Option
Group Five: Mathematics
Group Five courses enable students to enjoy Mathematics, and develop an appreciation of its
elegance and power. Problem-solving is central and mathematical skills and concepts are used in a
wide range of real and abstract contexts.
How should students choose their group five course?
Mathematicalstudies SL
With more emphasis on developing students’ mathematical reasoning rather than performing
routine operations, this course encourages students to develop mathematical intuition and apply
mathematics in real life.
Topics covered
External Assessment
Component Weighting Format and syllabus coverage
Paper 1 40% 15 compulsory short-response questions based on the whole syllabus.
Paper 2 40% 6 compulsory extended-response questions based on the whole syllabus
Internal assessment
Component Weighting Format and syllabus coverage
Individual
project
20%
The project is an individual piece of personal research, guided and supervised
by the teacher, involving the collection of information or the generation of
measurements, and the analysis and evaluation of the data.
Mathematics Standard Level and Higher Level
Topics Covered
Standard Level and Higher Level students study the same topics, but the content is different. Higher level
Students must study one of the following topics in more depth: Statistics and probability, Sets, relations and
groups, Calculus, Discrete mathematics.
Mathematical studies SL Mathematics SL Mathematics HL
For studentswithvaried
mathematical backgrounds and
abilities.Thiscourse prepares
studentsforcareersinsocial
sciences,humanities,languagesor
arts. Equivalentinstatusto
mathematicsSL,ithas an emphasis
on applicationsof mathematics,
especiallystatistical techniques.
For studentswishingtostudy
subjectssuchas business
administration,psychology,
chemistry, medicine oreconomics,
whoneeda soundmathematical
background.Youshouldbe at ease
withbasicmathematical concepts,
and be able to applysimple
mathematical techniquescorrectly.
For studentscompetentinarange of
analytical andtechnical skills. Will
mathematicsbe a majorcomponent
of youruniversitystudies,eitherasa
subjectinitsownright or within
coursessuch as physics,engineering
or technology? Doyouhave a strong
interestinmathematics,andenjoy
meetingitschallenges.?
Number and
algebra
Descriptive
statistics
Logic, sets and
probability
Statistical
applications
Geometry and
trigonometry
Mathematical
models
Introduction
to differential
calculus

2. Mathematical inquiry and mathematical modelling are used throughout both courses.
Mathematical inquiry: Students learn mathematics
by being active participants in learning activities
rather than recipients of instruction.
Mathematical modeling: Students solve problems
in the real world by developing, applying and
critically analysing models.
High level mathematics is demanding. Students are encouraged to apply their mathematical knowledge to
solve problems set in a variety of contexts, justifying and proving their results. They develop insight into
mathematical form and structure, studying a broad range of mathematical topics.
Standard Level mathematics focuses on introducing important mathematical concepts. Rather than
insisting on the mathematical rigour required for mathematics HL, students apply the mathematical
knowledge they acquire to solve realistic problems set in an appropriate context.
External Assessment
Component
Weighting
Format and syllabus coverage
SL HL
Paper 1 40% 30%
Based on the core syllabus. No calculator allowed. Section A: Compulsory
short-response questions. Section B: Compulsory extended-response questions.
Paper 2 40% 30%
Based on the core syllabus. Graphic display calculator required.
Section A Compulsory short-response questions.
Section B Compulsory extended-response questions
Paper 3 20%
For HL students only. Graphic display calculator required. Compulsory
extended-response questions based mainly on the syllabus options.
Internal Assessment
Component
Weighting
Format and syllabus coverage
SL / HL
Mathematical
exploration
20%
Individual exploration: a piece of written work that involves investigating an area
of mathematics.
The mathematical exploration allows students to work without the time constraints of a written
examination, and to develop the skills they need for communicating mathematical ideas.