# The IB mathematical studies SL

The IB mathematical studies SL (Standard Level) course focuses on important interconnected mathematical topics.

The syllabus IB mathematical studies SL focuses on:

- placing more emphasis on student understanding of fundamental concepts than on symbolic manipulation and complex manipulative skills;
- giving greater emphasis to developing students’ mathematical reasoning rather than performing routine operations;
- solving mathematical problems embedded in a wide range of contexts;
- using the calculator effectively.

## Mathematics and Statistical Techniques

There is an emphasis on applications of mathematics and statistical techniques. It is designed to offer students with varied mathematical backgrounds and abilities the opportunity to learn important concepts and techniques and to gain an understanding of a wide variety of mathematical topics, preparing them to solve problems in a variety of settings, develop more sophisticated mathematical reasoning and enhance their critical thinking.

## Important Interconnected Mathematical Topics

The IB mathematical studies SL (standard level) course focuses on important interconnected mathematical topics. The syllabus focuses on: placing more emphasis on student understanding of fundamental concepts than on symbolic manipulation and complex manipulative skills; giving greater emphasis to developing students’ mathematical reasoning rather than performing routine operations; solving mathematical problems embedded in a wide range of contexts; using the calculator effectively. There is an emphasis on applications of mathematics and statistical techniques. It is designed to offer students with varied mathematical backgrounds and abilities the opportunity to learn important concepts and techniques and to gain an understanding of a wide variety of mathematical topics, preparing them to solve problems in a variety of settings, develop more sophisticated mathematical reasoning and enhance their critical thinking.

## Syllabus Component of IB Mathematical Studies SL

All topics are compulsory. Students must study all the sub-topics in each of the topics in the syllabus as listed in the IB Mathematical Studies SL guide. Students are also required to be familiar with the topics listed under prior learning.

- Topic 1: Numbers and Algebra
- Topic 2: Descriptive Statistics
- Topic 3: Logic, Sets and Probability
- Topic 4: Statistical Application
- Topic 5: Geometry and Trigonometry
- Topic 6: Mathematical Models
- Topic 7: Introduction to Differential Calculus

The aims of all DP mathematics courses are to enable students to:

- enjoy and develop an appreciation of the elegance and power of mathematics
- develop an understanding of the principles and nature of mathematics
- communicate clearly and confidently in a variety of contexts
- develop logical, critical and creative thinking, and patience and persistence in problem-solving
- employ and refine their powers of abstraction and generalization
- apply and transfer skills to alternative situations, to other areas of knowledge and to future developments
- appreciate how developments in technology and mathematics have influenced each other
- appreciate the moral, social and ethical implications arising from the work of mathematicians and the applications of mathematics
- appreciate the international dimension in mathematics through an awareness of the universality of mathematics and its multicultural and historical perspectives
- appreciate the contribution of mathematics to other disciplines, and as a particular “area of knowledge” in the TOK course.

#### Course Materials

#### Numbers and Algebra > Metric Units

- Metric Units of Length in International System Units
- Metric Units of Area in International System Units
- Conversion of Capacity in International System Units
- Conversion from Capacity to Volume in International System Units
- Conversion from Volume to Capacity in International System Units
- Celsius and Fahrenheit in International System Units

#### Numbers and Algebra > Arithmetic Sequences

- Indentifying Number Sequences
- Describing Number Patterns
- General Rule of a Number Sequence
- Determining Arithmetic Sequences
- The First Term and Common Difference of Arithemtic Sequences
- Finding a Term from Arithemtic Sequences
- Rule of Arithmetic Sequences
- Number of Terms of Arithmetic Sequences
- Problems of Arithmetic Sequences

#### Logic, Sets and Probability > Probability Diagrams

- Sample Space by 2-Dimensional Grids
- Sample Space by Tree Diagrams
- Using Grids to find Probabilities
- Basic Tree Diagrams
- Further Tree Diagrams
- Tree Diagrams Sampling Without Replacement
- Tree Diagrams Sampling With Replacement
- Using Venn Diagrams to find Probabilities
- Two-Way Tables and Venn Diagrams to find Probabilities