Maths+SL

=Mathematics SL in the IB Diploma Programme = toc This course caters for students who already possess a good knowledge of basic mathematical concepts and who are equipped with the skills needed to apply simple mathematical techniques correctly. The majority of these 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.

All mathematics courses share the same general aims, which are to enable students to
 * Aims**


 * Appreciate the international dimensions of mathematics and the multiplicity of its cultural and historical perspectives;
 * Foster enjoyment from engaging in mathematical pursuits, and to develop an appreciation of the beauty, power and usefulness of mathematics;
 * Develop logical, critical and creative thinking in mathematics
 * Develop mathematical knowledge, concepts and principles;
 * Employ and refine the powers of abstraction and generalisation;
 * Develop patience and persistence in problem-solving;
 * Have an enhanced awareness of, and utilise the potential of, technological developments in a variety of mathematical situations; and
 * Communicate mathematically, both clearly and confidently, in a variety of contexts.

Course Requirements
A substantial level of mathematical ability and background knowledge is required to handle this demanding course. Students should have sustained at least a grade level 5 in grades 9 and 10 Mathematics; conforming to BIS recommendations. Exceptions to this are considered on a case-by-case basis.

**Topics Studied in Grades 11 and 12**
Seven topic areas are offered at Standard Level; all of which are compulsory.

Core topics


 * 1) Algebra
 * 2) Functions and equations
 * 3) Circular functions and trigonometry
 * 4) Matrices
 * 5) Vectors
 * 6) Statistics and probability
 * 7) Calculus

Recommended time allocation: 140 hours

Two pieces of work, based on different areas of the syllabus, representing the following two types of task:
 * The Portfolio**


 * Type I: Mathematical investigation
 * Type II: Mathematical modelling

Recommended time allocation for the portfolio: 10 hours

__Essential Resources __
Mathematics for the International Student Mathematics Standard Level Haese & Harris Publications, 2007 ISBN 1 876543 03 5
 * Text**

__**Graphical Display Calculator (GDC)**__ In 2004 the GDC became compulsory in all DP mathematics courses. Students taking any mathematics examinations will be at a disadvantage if they do not have access to a suitable GDC.

__Recommended / approved models__ __NOTE__ Students at BIS are recommended to purchase the **Casio CFX-9850G Plus**, available through the school office.
 * **//Texas Instruments//** || **//Casio//** ||
 * TI-84 Plus Silver Edition || CFX-9850G Plus/Graph 65 Plus ||
 * TI-84 Plus || FX1.0 Plus ||
 * TI-83 Plus Silver Edition || CFX-9950 Plus ||
 * TI-83 Plus || FX-9750G Plus/Graph 35 Plus ||

__Assessment and Grading __
Mathematics Standard Level is assessed by external examination, which comprises 80% of the final grade. The examination is in two parts, Paper 1 (40%), Paper 2 (40%). Paper 1 is a non-calculator paper. A full description of Paper 1 and Paper 2 may be found by following the link.
 * IB External Assessment**

Each portfolio contributes 10% of the final grade (20% in total). Tasks are set and internally assessed by the teacher and moderated externally. The IBO assessment criteria for portfolio tasks may be found by following the link.
 * IB Internal Assessment**

All student attainment requires positive performance assessment; whatever the level of individual ability. Attainment grades for all BIS Mathematics courses comprise 20% semester exam, 40% continuous assessment, 20% written assignments, 15% homework and 5% participation. Students are encouraged to routinely examine their attainment against the following IBO recommended grade descriptors in order to understand and monitor their own progress.
 * BIS Continuous Assessment in Mathematics**

Demonstrates a thorough knowledge and understanding of the syllabus; successfully applies mathematical principles at a sophisticated level in a wide variety of contexts; successfully uses problem-solving techniques in challenging situations; recognises patterns and structures; makes generalisations and justifies conclusions; understands and explains the significance and reasonableness of results; and draws full and relevant conclusions; communicates mathematics in a clear, effective and concise manner, using correct techniques, notation and terminology; demonstrated the ability to integrate knowledge, understanding and skills from different areas of the course; uses technology proficiently.
 * Grade 7 Excellent performance**

Demonstrates a broad knowledge and understanding of the syllabus; successfully applies mathematical principles in a variety of contexts; uses problem-solving techniques in challenging situations; recognises patterns and structures, and makes some generalisations; understands and explains the significance and reasonableness of results, and draws relevant conclusions; communicates mathematics in a clear and effective manner, using correct techniques, notation and terminology; demonstrates some ability to integrate knowledge, understanding and skills from different areas of the course; uses technology proficiently.
 * Grade 6 Very good performance**

Demonstrates a broad knowledge and understanding of the syllabus; successfully applies mathematical principles in performing routine tasks; successfully carries out mathematical processes in a variety of contexts; and recognises patterns and structures; understands the significance of results and draws some conclusions; successfully uses problem-solving techniques in routine situations; communicates mathematics effectively, using suitable notation and terminology; demonstrates and awareness of the links between different areas of the course; uses technology appropriately.
 * Grade 5 Good performance**

Demonstrates a satisfactory knowledge of the syllabus; applies mathematical principles in performing some routine tasks; successfully carries out mathematical principles in straightforward context; shows some ability to recognise patterns and structures; uses problem-solving techniques in routine situation; has limited understanding of the significance of results and attempts to draw some conclusions; communicates mathematics adequately, using some appropriate techniques, notation and terminology; uses technology satisfactory.
 * Grade 4 Satisfactory performance**

Demonstrates partial knowledge of the syllabus and limited understanding of mathematical principles in performing some routine tasks; attempts to carry out mathematical processes in straightforward contexts; communicates some mathematics, using appropriate techniques, notation or terminology; uses technology to a limited extent.
 * Grade 3 Mediocre performance**

Demonstrates limited knowledge of the syllabus; attempts to carry out mathematical processes at a basic level; communicates some mathematics, but often uses inappropriate techniques, notation or terminology; uses technology inadequately.
 * Grade 2 Poor performance**

Demonstrates minimal knowledge of the syllabus; demonstrates little or no ability too use mathematical processes, even when attempting routine tasks; is unable to make effective use of technology.
 * Grade 1 Very poor performance**


 * Approximate grade boundaries used at BIS relative to the IBO grade level descriptors**
 * Grade Level || **1** || **2** || **3** || **4** || **5** || **6** || **7** ||
 * Boundary (%) || 0 - 9 || 10 - 24 || 25 - 39 || 40 - 54 || 55 - 69 || 70 - 84 || 85 -100 ||
 * GPA Contribution || 0 || 0 || 0 || 1 || 2 || 3 || 4 ||

Pre-Diploma Course (Grade 10 preparation)
The BIS Grade 10 curriculum is now aligned to best meet the needs of students in grades 11 and 12 - both diploma and non-diploma students. Emphasis is on consolidation of basic number rules and processes; algebraic manipulation skills; functions and graphs; understanding and applying the laws of probability and statistics; trigonometry; furthering knowledge of plane geometry and 3D vector space; and kinematics. In addition students will complete and in-depth mathematical investigation concentrating on structure and content; accurate communication; correct terminology and notation, and demonstrating sound logical reasoning and analysis while working towards a generalised mathematical statement. If time permits, students will begin studying approaches to rates of change and the Calculus.

Semester 1 Content (Grade 11)

 * Topic 1 Algebra
 * Topic 2 Functions
 * Portfolio 1

Semester 2 Content (Grade 11)

 * Topic 3 Trigonometric Function
 * Topic 7 Calculus
 * Portfolio 2

Semester 3 Content (Grade 12)

 * Topic 4 Matrics
 * Topic 5 Vectors
 * Topic 6 Statistics & Probability

Semester 4 Content (Grade 12)

 * Mock Exam
 * Portfolio 3
 * Revision

