| As this freight train moves down a straight section of track, the locomotive performs a translation on the boxcars. Translation is one of the four types of linear transformation |
You will learn precise definitions of the four fundamental linear transformation types:
Reflection
Translation
Rotation
Dilation
You will learn precise definitions of isometry and similarity.
You will look at web a site that provides a manipulative way to look at linear transformations. This will expand your geometric intuition.
You will look at a web site that provides alternate examples of linear transformations. You will compare the methods of these examples with purely geometric methods. This will extend your critical thinking about geometry.
You will write three short papers. You will revise your papers with your partner before submitting them to your teacher for assessment.
You will work with a group of three to design a web page that proves one of the following:
Reflections are isometries
Translations are isometres
Dilations are similarities
This will improve your ability to think creatively about geometry.
One task is to study a two column proof that rotations are isometries. You will have to understand this proof well enough to repeat it in a quiz and reproduce the picture that goes with the proof.
Your group of three will compete with the other groups in your class in a game that allows you to test your understanding of linear transformations.