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International Baccalaureate

The Group Five of IB Diploma Programme subjects, subtitled mathematics and computer science consists of four levels of mathematics courses and an elective computer science course. To earn an IB Diploma, a candidate must pass at least one mathematics course. The mathematics courses are Mathematics (HL or SL), Mathematical Studies (SL), and Further Mathematics (SL). It has been suggested that this article or section be merged into International Baccalaureate Organization. ... The International Baccalaureate (IB) Primary Years Programme (PYP) is an educational programme created and managed by the International Baccalaureate Organisation (IBO) for students aged 3 to 12. ... The International Baccalaureate (IB) Middle Years Programme (MYP) is a five-year educational programme intended for students aged approximately 11 to 16 (grades 6-10 in the United States). ... The International Baccalaureate (IB) Diploma Programme (DP) is an educational programme examined in one of three languages (English, French or Spanish) and is a university entrance course. ... The International Baccalaureate Organization (IBO) is an international profit educational foundation, founded in 1968 in Geneva, Switzerland. ... This article does not cite any references or sources. ... This is a list of acronyms connected with the three International Baccalaureate programmes: the IB Diploma Programme, the IB Middle Years Programme and the IB Primary Years Programme. ... This is a list of notable people affiliated with the International Baccalaureate, including IBO directors-general, presidents of the IBO Council of Foundation, and notable graduates of one or more of the three IB programmes. ... A total of 1470 schools (as of September 2005) offer one or more of the three International Baccalaureate (IB) programmes; the majority of these offer the IB Diploma Programme. ... A total of 1924 schools (as of February 2007) offer one or more of the three International Baccalaureate (IB) programmes; the majority of these offer the IB Diploma Programme. ... A total of 1924 schools (as of February 2007) offer one or more of the three International Baccalaureate (IB) programmes; the majority of these offer the IB Diploma Programme. ... A total of 1924 schools (as of February 2007) offer one or more of the three International Baccalaureate (IB) programmes; the majority of these offer the IB Diploma Programme. ... The Group One of IB Diploma Programme subjects, subtitled language A1, refers to the native language or otherwise best language of the student - thus, language A1. ... The Group Two of IB Diploma Programme subjects, subtitled second language, refers to the one or more foreign languages that each Diploma candidate is required to study. ... It has been suggested that IB Psychology SL be merged into this article or section. ... The Group Four of IB Diploma Programme subjects, subtitled experimental sciences, consists of biology, chemistry, physics, Design Technology, and environmental systems. ... Wikibooks has more about this subject: International Baccalaureate The Group Six of IB Diploma Programme subjects is subtitled the arts and electives. In group six, students can take any of the subjects offered in the other five groups. ... The Extended Essay (EE) is one of the requirements of the IB Diploma Programme. ... This article or section does not cite any references or sources. ... This article does not cite any references or sources. ... Image File history File links Wikibooks-logo-en. ... The International Baccalaureate (IB) Diploma Programme (DP) is an educational programme examined in one of three languages (English, French or Spanish) and is a university entrance course. ... Euclid, Greek mathematician, 3rd century BC, as imagined by by Raphael in this detail from The School of Athens. ... Computer science, or computing science, is the study of the theoretical foundations of information and computation and their implementation and application in computer systems. ...

Mathematics HL and SL

Standard Level students study a subset of the material Higher Level students study, though to lesser depth (190 hours versus 240 hours). The core consists of these topics:

• Number and algebra
• Functions and equations
• Circular functions and trigonometry
• Vector geometry
• Matrices and transformations
• Statistics
• Probability
• Calculus

In addition to the core material, Higher Level candidates choose one optional topic from the following: For other uses, see Number (disambiguation). ... This article is about the branch of mathematics. ... Graph of example function, The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its input) and the other as secondary (the value of the function, or output). A... This article is about equations in mathematics. ... In mathematics, the trigonometric functions are functions of an angle, important when studying triangles and modeling periodic phenomena. ... Wikibooks has a book on the topic of Trigonometry All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O. Trigonometry (from Greek trigōnon triangle + metron measure[1]), informally called trig, is a branch of mathematics that deals with... A vector going from A to B. In physics and in vector calculus, a spatial vector, or simply vector, is a concept characterized by a magnitude and a direction. ... Calabi-Yau manifold Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. ... In mathematics, a matrix (plural matrices) is a rectangular table of numbers or, more generally, a table consisting of abstract quantities that can be added and multiplied. ... In mathematics, a transformation in elementary terms is any of a variety of different functions from geometry, such as rotations, reflections and translations. ... This article is about the field of statistics. ... Probability is the likelihood that something is the case or will happen. ... Calculus (from Latin, pebble or little stone) is a branch of mathematics that includes the study of limits, derivatives, integrals, and infinite series, and constitutes a major part of modern university education. ...

• Further statistics
• Sets, relations, and groups
• Discrete mathematics
• Differential equations and series
• (Euclidean geometry and conic sections was once an option but was removed with the 2004 curriculum revision and no longer appeared on HL exams as of the May 2006 exam session)

This article is about the field of statistics. ... This article is about sets in mathematics. ... In mathematics, a relation is a generalization of arithmetic relations such as = and < which occur in statements such as 5 < 6 or 2 + 2 = 4. See relation (mathematics), binary relation and relational algebra. ... This picture illustrates how the hours on a clock form a group under modular addition. ... Discrete mathematics, also called finite mathematics, is the study of mathematical structures that are fundamentally discrete, in the sense of not supporting or requiring the notion of continuity. ... A simulation of airflow into a duct using the Navier-Stokes equations A differential equation is a mathematical equation for an unknown function of one or several variables which relates the values of the function itself and of its derivatives of various orders. ... In mathematics, a series is often represented as the sum of a sequence of terms. ... Euclid Euclidean geometry is a mathematical system attributed to the Greek mathematician [[Euclid]] of Alexandria. ... In mathematics, a conic section (or just conic) is a curved locus of points, formed by intersecting a cone with a plane. ...

Assessment

At both levels, there is an internally assessed component worth 20% of the final mark, a portfolio comprising of:

• A mathematical investigation
• A mathematical modelling task

External assessments given in May are worth 80% of the final mark:

• Paper 1: 20 (15 at SL) short questions on the core
• Paper 2: 5 in-depth, extended questions on the core
• Paper 3: in-depth, extended questions relating to the chosen option

Papers 1 and 2 are two hours long each at HL and 1 hour and 30 minutes long each at SL. Paper 3 is one hour long and is only taken by HL students. In the past, in paper 1 maximum marks were awarded for a correct answer even if no work was shown, while partial marks were awarded if relevant work was shown without a correct answer. As of 2006, work must be shown for all papers.

This external assessment model will be modified as of May 2008. Under the new model, Paper 1 will be a non-calculator exam consisting of Section A (with questions similar to the "old" Paper 1) and Section B (with questions similar to the "old" Paper 2). Paper 2 will consist of similar Sections A and B, but students will be required to have graphing calculators for this paper. Paper 3 will be unchanged and will still require that students have graphing calculators. All calculator programs must be removed, and CAS (Computer Algebra System) calculators, such as the TI-89, and those with QWERTY keyboards are forbidden. Using them will result in a PRF, and the graders will deduct 10% of their overall work and report it on a PRF. If the calculator box is not filled in, they will give the examinee a calculator penalty of 1 mark and note it on the front cover. A computer algebra system (CAS) is a software program that facilitates symbolic mathematics. ...

Further Mathematics

The Further Mathematics course, offered only at the Standard Level, is the most rigorous of the Group Five courses. The course assumes knowledge of the core material of higher level course; its own core consists of all options of Mathematics HL and an additional unit of geometry. There are no options. Most students in Further Mathematics SL take it as their elective choice or as an extra subject, since the course is usually taken concurrently with Mathematics HL (unless Mathematics HL has already been completed as a certificate subject). Calabi-Yau manifold Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. ...

Mathematical Studies

Offered only at the Standard Level, this course is aimed at students not requiring mathematics in their future studies. It emphasises applying mathematics to real-world situations. Its core consists of:

• Number and algebra
• Sets and logic
• Geometry and trigonometry
• Statistics and probability
• Functions and equations
• Financial mathematics

Students also choose one option of the following: For other uses, see Number (disambiguation). ... This article is about the branch of mathematics. ... This article is about sets in mathematics. ... Logic (from Classical Greek λόγος logos; meaning word, thought, idea, argument, account, reason, or principle) is the study of the principles and criteria of valid inference and demonstration. ... Calabi-Yau manifold Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. ... Wikibooks has a book on the topic of Trigonometry All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O. Trigonometry (from Greek trigōnon triangle + metron measure[1]), informally called trig, is a branch of mathematics that deals with... This article is about the field of statistics. ... Probability is the likelihood that something is the case or will happen. ... Graph of example function, The mathematical concept of a function expresses the intuitive idea of deterministic dependence between two quantities, one of which is viewed as primary (the independent variable, argument of the function, or its input) and the other as secondary (the value of the function, or output). A... This article is about equations in mathematics. ...

• Matrices and graph theory
• Further statistics and probability
• Introductory differential calculus

In mathematics, a matrix (plural matrices) is a rectangular table of numbers or, more generally, a table consisting of abstract quantities that can be added and multiplied. ... A pictorial representation of a graph In mathematics and computer science, graph theory is the study of graphs, mathematical structures used to model pairwise relations between objects from a certain collection. ... This article is about the field of statistics. ... Probability is the likelihood that something is the case or will happen. ... Differential calculus is the theory of and computations with differentials; see also derivative and calculus. ...

Assessment

• Individual piece of work involving the collection and generation, and analysis and evaluation of data (20%)
• Paper 1: 20 short questions on the core (2 hours)(30%)
• Paper 2: 5 in-depth questions on the core (2 hours)(30%)
• Paper 3: 4 options, but candidates only choose one (1 hour)(20%)