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Mathematics: Approaches and Analysis
This course recognizes the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course includes topics that are both traditionally part of a pre-university mathematics course (for example, functions, trigonometry, calculus) as well as topics that are amenable to investigation, conjecture and proof, for instance the study of sequences and series at both SL and HL, and proof by induction at HL.
The course allows the use of technology, as fluency in relevant mathematical software and hand-held technology is important regardless of choice of course. However, Mathematics: analysis and approaches has a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments.
Mathematics: analysis and approaches: Distinction between SL and HL
Students who choose Mathematics: analysis and approaches at SL or HL should be comfortable in the manipulation of algebraic expressions and enjoy the recognition of patterns and understand the mathematical generalization of these patterns. Students who wish to take Mathematics: analysis and approaches at higher level will have strong algebraic skills and the ability to understand simple proof. They will be students who enjoy spending time with problems and get pleasure and satisfaction from solving challenging problems.
Syllabus Outline:
1. Number and Algebra
2. Functions
3. Geometry and Trigonometry
4. Statistics and Probability
5. Calculus
6. Toolkit and mathematical Exploration
Assessment Outline – SL
External assessment (3 hours)
Paper 1 (90 minutes) Technology required. (80 marks)
Compulsory short-response questions based on the syllabus.(80 marks)
Paper 2 (90 minutes)
Technology required. (80 marks)
Compulsory extended-response questions based on the syllabus. (80 marks)
Internal assessment
This component is internally assessed by the teacher and externally moderated by the IB at the end of the course.
Mathematical exploration
Internal assessment in mathematics is an individual exploration.
This is a piece of written work that involves investigating an area of mathematics. (20 marks)
Assessment Outline – HL
Assessment Component
External assessment (5 hours)
Paper 1 (120 minutes)
Compulsory short-response questions based on the syllabus.
Paper 2 (120 minutes)
Technology required. (110 marks)
Compulsory extended-response questions based on the syllabus. (80 marks)
Paper 3 (60 minutes)
Technology required (55 marks)
Two compulsory extended response problem-solving questions.
Internal assessment
This component is internally assessed by the teacher and externally moderated by the IB at the end of the course.
Mathematical exploration
Internal assessment in mathematics is an individual exploration. This is a piece of written work that involves investigating an area of mathematics. (20 marks)