- The task will involve spatial thinking and organization to be sure that the students can “see” the correct
positioning of the image. - Then they need to reproduce this.
- Students can choose to use as simple or as complicated an image as they choose.
- The key is that they need to be able to explain their work and have it be accurate.
- Allow time for students to share their work when finished.
III.TechnologyIntegration
- Have students use the following website to work on reflections.
- http://www.mathwarehouse.com/transformations/compositions/reflections-in-math.php
- The website provides a tutorial on how to create a reflection.
- It also provides students with an interactive way to work on reflections.
- Students can practice designing reflections.
- Provide an opportunity for students to ask questions as they work.
IV.NotesonAssessment
- Check student work on reflections.
- Is the reflection accurate?
- Is there anything missing in its representation?
- Is the image too complicated?
- Provide students with feedback on their work.
Rotations
I.SectionObjectives
- Find the image of a point in a rotation in a coordinate plane.
- Recognize that a rotation is an isometry.
- Apply matrix multiplication to rotations.
II.Cross-curricular-Sports
- Provide students with three or four copies of this image of a skateboarder.
- http://www.en.wikipedia.org/wiki/File:Skateboarder1.jpg
- This is Figure 12.04.01.
- Tell the students that they are to use these images to create a scene showing the rotations of a skateboarder.
- Students can create this any way that they choose.
- Ask for students who are knowledgeable about skateboarding.
- Pair these students up with students who don’t consider themselves knowledgeable.
- Then have the students work together to create the scenes.
- Students can show as many different rotations as they would like.
- Be sure to give students an opportunity to share their work.
- Some students may want to extend this scene to include other skateboarding images- that is fine as long as the
concept of rotations is included.
III.TechnologyIntegration
- A great website to explore rotations.
3.12. Transformations