Mathematics

5 sections available · 40 chapters available

Free Mathematics study notes for IB Middle Years Programme (MYP) students. Each chapter breaks down a key concept with examples and practice prompts you can turn into AI drills in the thinka app.

Numerical and abstract reasoning

Thinking with models

Spatial reasoning

  • Geometrical Elements, Angles and Distance

  • Triangle Properties and Pythagoras' Theorem

  • Perimeter, Area, Volume and Surface Area

  • The Cartesian Plane and Coordinate Geometry

  • Circle Geometry

  • Transformations and Symmetry

  • Trigonometric Ratios in Right-Angled Triangles

  • Similarity, Congruence and Three-Dimensional Coordinate Geometry (Extended)

  • Sine and Cosine Rules, Angle Measures, the Unit Circle and Vectors (Extended)

Reasoning with data

  • Data Collection, Population Sampling and Representation

  • Graphical Analysis and Interpretation of Data

  • Measures of Central Tendency and Dispersion

  • Cumulative Frequency and Box Plots

  • Probability of an Event

  • Theoretical and Experimental Probability

  • Independent, Mutually Exclusive, Combined and Successive Events

  • Standard Deviation and Conditional Probability (Extended)

Investigating patterns, modelling and communication

  • Investigating Patterns: Selecting Techniques and Describing Rules

  • Verifying and Justifying General Rules

  • Mathematical Modelling in Real-Life Contexts

  • Validity, Degree of Accuracy and Reflecting on Results

  • Communicating Mathematics: Notation, Representation and Reasoning

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