5.12 Transformations
Translations
I.SectionObjectives
- Graph a translation in a coordinate plane.
- Recognize that a translation is an isometry.
- Use vectors to represent a translation.
II.ProblemSolvingActivity-TranslationTeamwork
- For this activity, the students will be creating a game.
- Divide students onto teams of two.
- The first step is for students to design translations on a coordinate grid. They will need to create four different
translations. - Then have them write the coordinates for each translation on a separate index card.
- Finally, they need to write directions indicating the spacing of the translation. For example, three up and four
to the right. - Now they can put the whole thing together.
- Each team joins another team.
- They put all of the game cards together and they have to match up the correct diagram with the card coordinates
and the directions. - This can have a time limit for students as well.
III.MeetingObjectives
- Students will graph translations on a coordinate plane.
- Students will recognize that a translation is an isometry.
IV.NotesonAssessment
- When students are finished, collect each teams “playing cards”
- Check student work for accuracy.
- Offer correction/feedback when necessary.
Matrices
I.SectionObjectives
- Use the language of matrices.
- Add matrices.
- Apply matrices to translations.
Chapter 5. Geometry TE - Problem Solving