Transforming 2D figures

This lesson develops the concept of transformations. In particular students will:

• Describe in words the transformation that maps an object to a transformed image
• Given a geometric figure and a transformation, draw the transformed figure
• Describe transformations as algebraic functions that take points in the plane as inputs and give other points as outputs

An initial activity is given that involves drawing the transformation of a shape on a coordinate grid.

There is a collaborative activity where students transform shapes and then look at a general point (x, y) to determine algebraic rules for each transformation.

There are pre-lesson and post-lesson formative assessment tasks. Detailed teacher notes give suggestions on questioning and how to use the resources. Full solutions are given for each of the sections.

This is a concept development lesson from the Mathematics Assessment Resource Service, a collaboration between UC Berkeley and the Shell Centre team at the University of Nottingham. Further information on the collection is given here.