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Problem Solving Classroom

Tips from a Master Teacher (This is a work in progress.)

Pirates, Portraits & Perspective

by Mark Illingworth
Pirates, Portraits & Perspective

Students develop the mathematics for creating a portrait in which four people of different heights all appear to be the same height. As with any Exploration, they start by building a model of the most basic version of the problem. Then they ask what-if questions and challenge assumptions in the model to generate new paths of exploration. All of this leads to great small group work followed by an interesting debriefing session with the whole class.

Course(s): Geometry

Difficulty: 3/5

Length: medium

Topics: ratios, proportions, similarity, similar triangles

Problem Type: Exploration

Layered by difficulty? yes

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