5. Mathematics: Applications and Interpretations

150 hours - SL 240 hours - HL

Mathematics: Applications and Interpretation

Develop complex mathematical thinking skills, in the pursuit of truth and certainty, as approached through the logic and language distinct to mathematics.

Apply a growing knowledge of theory, to solve practical problems in real contexts, across multiple disciplines. Build skills in analysing trends, making predictions, quantifying risk, and exploring relationships and interdependence.

Harness extensive use of technology to explore and construct mathematical models, and to justify conjectures.

Number and Algebra

How can we use algebra as an abstraction of numerical concepts, employing variables, to solve real problems?

Concepts:

SL/HL

Represent patterns, show equivalencies and make generalisations

Systems, relationships

Functions

How can we communicate mathematical ideas using tables, equations and graphs to represent functions?

Concepts:

SL/HL

Representation, relationships, space, modelling, change

Generalisation, validity

Geometry and Trigonometry

How can we quantify spatial awareness in two and three dimensions by analysing, measuring and transforming quantities, movements and relationships?

Concepts:

SL/HL

Generalization, space, relationships, systems, representations

Quantity, change

Statistics and Probability

How can we collect, represent, analyse and interpret data to estimate parameters and make predictions?

How can we critically apply the theory of probability to evaluate risk and make predictions?

Concepts:

SL/HL

Quantity, validity, approximation, modelling, relationships, patterns.

Systems, representation

Calculus

How can we model, interpret and analyse real-world problems and situations using calculus to understand rates of change and accumulations of limiting areas?

Concepts:

SL/HL

Change, patterns, relationships, approximation, space, generalization.

Systems, quantity

Assessment

Internal

Mathematical Exploration (20%, SL, HL ) - Written report of an investigation into a mathematical area of interest.

External

Exam Paper 1 (40% SL, 30% HL) - SL 1 hour 30 minutes HL 2 hours

Short response questions based on all areas of the course. Technology required.

Exam Paper 2 (40% SL, 30% HL) - SL 1 hour 30 minutes HL 2 hours

Extended response questions based on all areas of the course. Technology required.

Exam Paper 3 - HL only (20% HL) - HL 1 hour

Two extended response problem-solving questions. Technology required.

Higher Level

Higher Level HL students study additional concepts within each of the five areas of the course, developing aptitude in interpreting complex problems and applying mathematical solutions.

Additional topics include Vector applications.

HL students also complete the Paper 3 complex problem-solving exam.

See the IB Subject Guide for Mathematics Applications and Interpretation here. Be sure to select this one, and not the other course (Analysis and Approaches).

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