Mathematics: Applications and Interpretation

This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world. As such, it emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modelling. To give this understanding a firm base, this course also includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics.

The course makes extensive use of technology to allow students to explore and construct mathematical models. Mathematics: applications and interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures.

Aims

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

  1. Develop a curiosity and enjoyment of mathematics, and appreciate its elegance and power
  2. Ddevelop an understanding of the concepts, principles and nature of mathematics
  3. Communicate mathematics clearly, concisely and confidently in a variety of contexts
  4. Develop logical and creative thinking, and patience and persistence in problem solving to instil confidence in using mathematics
  5. Employ and refine their powers of abstraction and generalization
  6. Take action to apply and transfer skills to alternative situations, to other areas of knowledge and to future developments in their local and global communities
  7. Appreciate how developments in technology and mathematics influence each other
  8. Appreciate the moral, social and ethical questions arising from the work of mathematicians and the applications of mathematics
  9. Appreciate the universality of mathematics and its multicultural, international and historical perspectives
  10. Appreciate the contribution of mathematics to other disciplines, and as a particular “area of knowledge” in the TOK course
  11. Develop the ability to reflect critically upon their own work and the work of others
  12. Independently and collaboratively extend their understanding of mathematics.

SYLLABUS COVERAGE

1 Measuring space: accuracy and 2D geometry.

2. Representing space: non-right angled trigonometry and volumes

3. Representing and describing data: descriptive statistics