Activity Description Explore the world of translations, reflections, and rotations in the Cartesian coordinate system by performing transformations on squares, triangles and parallelograms. Parameters: Shape, x or y translation, reflections across vertical and horizontal lines, angle and point of rotation.

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Transmographer

Place in mathematics curriculum:

This activity can be used to:

• Illustrate plotting basic shapes on the Cartesian coordinate system
• Develop students mental visualization skills
• Introduce the ideas of translation, reflection and rotation
• Practice students skills at translation, reflection and rotation

This activity allows the user to experiment with translation, reflection and rotation in the Cartesian coordinate plane. This activity would work well in mixed ability groups of two or four for about forty-five minutes if you use the exploration questions or the worksheet and fifteen to twenty minutes otherwise. If you wish to use both supplements, this activity will take approximately sixty minutes.

Preparations for this activity:

• Define translation, reflection, and rotation and show examples
• Explain net translation and net rotation