
IB Math AI SL 5.2 – Increasing and Decreasing Functions
Introduce how the first derivative describes a function’s behaviour with this editable lesson presentation for IB Mathematics: Applications and Interpretation SL. Students use the sign of f′(x) to identify where a function is increasing, decreasing or constant, connecting algebraic reasoning with the slope and shape of a graph.
The slides include clear definitions, visual explanations, guided discussion prompts and practice classifying function behaviour from derivative information. The lesson builds a foundation for later work on extrema and optimisation.
Use the matching notes for added explanation and the worksheet for independent practice:
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