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Mathematics – HL

  • The IB DP higher level mathematics course focuses on developing important mathematical concepts in a comprehensible, coherent and rigorous way, achieved by a carefully balanced approach.
  • Students are encouraged to apply their mathematical knowledge to solve problems set in a variety of meaningful contexts.
  • Students should expect to develop insight into mathematical form and structure, and should be intellectually equipped to appreciate the links between concepts in different topic areas.
  • They are also encouraged to develop the skills needed to continue their mathematical growth in other learning environments.
  • Students are encouraged to take a considered approach to various mathematical activities and to explore different mathematical ideas.
  • Enjoy mathematics, 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.

Topic 1: Algebra
Topic 2: Functions and equations
Topic 3: Circular functions and trigonometry
Topic 4: Vectors
Topic 5: Statistics and probability
Topic 6: Calculus
Topic 7: Statistics and probability
Topic 8: Sets, relations and groups
Topic 9: Calculus
Topic 10: Discrete mathematics

  • KNOWLEDGE QUESTIONS

    • To what extent should mathematical knowledge be consistent with our intuition
    • Some mathematical constants (π, e, φ, Fibonacci numbers) appear consistently in nature. What does this tell us about mathematical knowledge?
    • If we can find solutions in higher dimensions, can we reason that these spaces exist beyond our sense perception?
    • Is mathematics simply the manipulation of symbols under a set of formal rules?
    • Music can be expressed using mathematics. Does this mean that music is mathematical, that mathematics is musical or that both are reflections of a common “truth”?
  • PAPERS

    Paper 1
    Section A: Compulsory short-response questions based on the core syllabus.
    Section B: Compulsory extended-response questions based on the core syllabus.

    Paper 2
    Section A: Compulsory short-response questions based on the core syllabus.
    Section B: Compulsory extended-response questions based on the core syllabus.

    Paper 3
    Compulsory extended-response questions based mainly on the syllabus options.

    Mathematical Exploration
    The individual exploration is a piece of written work that involves investigating an area of mathematics.

VIDEO RESOURCES
SUBJECT RESOURCES
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