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IB Mathematics: Analysis and Approaches - Course Overview

 Introduction

The IB Mathematics: Analysis and Approaches course is designed for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and skills, and for those who enjoy the challenge of solving both real and abstract problems. This course is ideal for students who wish to study mathematics, engineering, physical sciences, or economics at the university level.

 Course Structure

Standard Level (SL):
Content: The SL course covers a broad range of topics including algebra, functions, trigonometry, calculus, statistics, and probability.
Focus: The focus is on developing mathematical reasoning and analytical skills. Students will explore concepts through problem-solving and by applying mathematics to real-world contexts.

Higher Level (HL):
Content: The HL course includes all SL topics but with additional content, particularly in calculus, functions, and differential equations. HL students will explore topics in greater depth and are introduced to more complex mathematical concepts.
Focus: HL students are expected to develop a more rigorous understanding of mathematical theory and its applications. The HL course is designed for students with a strong interest and ability in mathematics.

Assessment overview -

  • The assessment for both SL and HL courses includes both external and internal components:

External Assessment:
Paper 1  (No Calculator):

  • SL: 40% of the final grade, focusing on short- and long-response questions.
  • HL: 30% of the final grade, with more complex questions compared to SL.

Paper 2 (Calculator Allowed):

  • SL: 40% of the final grade, with questions requiring technology for solving.
  • HL: 30% of the final grade, covering similar topics but at a higher level of difficulty.

Paper 3 (HL only):

  • HL: 20% of the final grade, focusing on problem-solving and exploring advanced topics.

Internal Assessment (IA) – Exploration:

  •  Both SL and HL students are required to complete an individual exploration, which is a mathematical investigation on a topic of the student’s choice.
    – This project allows students to demonstrate their understanding of mathematical concepts, apply their skills to new situations, and communicate their findings effectively.
    The IA is worth 20% of the final grade and is assessed based on criteria including mathematical communication, personal engagement, and the use of mathematics.

Skills Assessed

The Analysis and Approaches course emphasizes several key skills:
1. Mathematical Thinking and Reasoning: Students develop the ability to think logically and apply mathematical principles to solve problems.
2. Communication: Students are expected to communicate their mathematical ideas clearly and effectively, both in writing and through the use of mathematical symbols and notation.
3. Problem-Solving: The course emphasizes the application of mathematics to solve complex problems in a variety of contexts.
4. Use of Technology: Students learn to use technology, such as graphing calculators and computer software, to explore mathematical concepts and solve problems.