IBDP – MATHEMATICS – APPLICATIONS & INTERPRETATIONS SL
The IB DP Mathematics: applications and interpretation course recognizes the role that mathematics and technology play in various fields in a data-rich world. It emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications. To provide a strong base, this course includes topics that are part of a pre-university mathematics course. Students are encouraged to solve real-world problems and communicate this mathematically and interpret conclusions. Students develop strong technology skills, and will be intellectually equipped to appreciate the links between the theoretical and practical concepts. All external assessments involve the use of technology. Students develop the skills needed to continue their mathematical growth in other learning environments. The internally assessed exploration allows students to develop independence in mathematical learning. Throughout the course students are encouraged to take a considered approach to various mathematical activities.
IBDP – MATHEMATICS –APPLICATIONS AND INTERPRETATIONS SL
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- Chapter 1: Measuring space: accuracy and 2D geometry
- Chapter 2: Representing space : non right angled trigonometry and volumes
- Chapter 3: Representing and describing data: descriptive statistics
- Chapter 4: Dividing up space : coordinate geometry , lines , Voronoi diagrams
- Chapter 5: Modelling constant rate of change: linear function
- Chapter 6: Modelling relationships: linear correlation of bivariate data
- Chapter 7: Quantifying uncertainty: probability, binomial and normal distributions
- Chapter 8: Testing for validity: Spearman’s hypothesis testing and x^2 test for independence
- Chapter 9: Modelling relationships with functions: power f unctions
- Chapter 10: Modelling Rates of change: Exponential and logarithmic functions
- Chapter 11: Modelling Periodic Phenomena: Trigonometric Functions
- Chapter 12: Analyzing Rates of Change: Differential Calculus
- Chapter 13: Approximating Irregular Spaces: Integration
Mathematics: applications and interpretation curriculum overview
| Syllabus component | Recommended teaching hours (SL) |
|---|---|
| ● Number and algebra ● Functions ● Geometry and trigonometry ● Statistics and probability ● Calculus | 16 31 18 36 19 |
| Development of investigational, problem-solving and modelling skills and the exploration of an area of mathematics | 30 |
| Total teaching hours | 150 |
Assessment model:
The assessment objectives include:
- Knowledge and understanding
- Problem solving
- Communication and interpretation
- Technology
- Reasoning
- Inquiry approaches
| Type of assessment | Format of assessment | Time (hours) SL | Weighting of final grade (%) SL |
|---|---|---|---|
| External | |||
| Paper 1 | No technology allowed. Section A: compulsory short-response questions based on the syllabus. Section B: compulsory extended-response questions based on the syllabus | 1.5 | 40 |
| Paper 2 | Technology allowed. Section A: compulsory short-response questions based on the syllabus. Section B: compulsory extended-response questions based on the syllabus. | 1.5 | 40 |
| Internal | |||
| Exploration | 15 | 20 |
The aims of all DP mathematics courses are to: develop a curiosity and understanding of the concepts and principles of mathematics, communicate mathematics concisely in a variety of contexts, develop logical and creative thinking, and patience in problem solving, employ and refine their powers of abstraction and generalization, take action to apply skills to other areas of knowledge and in their communities, appreciate how developments in technology and mathematics influence each other, appreciate the moral, social and ethical questions arising from the work of mathematicians, appreciate the universality of mathematics and its multicultural, international and historical perspectives, develop the ability to reflect critically upon their own work and of others, and independently and collaboratively extend their understanding of mathematics.
