- Use the language of matrices.
- Add matrices.
- Apply matrices to translations.
II.Cross-curricular-ProgressiveMatrices
- This website has an image of a progressive matrix.
- http://www.en.wikipedia.org/wiki/File:RavenMatrix.gif
- Have the students discuss the elements of how this image is representative of a matrix.
- Then have them use this as a model to create their own matrix pattern.
- Students should complete at least three steps of the progressive matrix.
- Students can use black and white or color.
- Students could expand this idea into a design with dimensions.
- Students can also use paint chips from a hardware store, or small mosaic tiles.
- Students could use elements of nature such as rocks or small leaves.
- This could be a very creative assignment.
- Allow time for the students to share their work when finished.
III.TechnologyIntegration
- Complete a research assignment on how the banking industry uses matrices.
- Students will need to visit several different websites to do this.
- Have them write a short essay and include examples on how the banking industry relies on matrices to support
their work.
IV.NotesonAssessment
- Assess each design.
- Is it modeled off of the example on Wikipedia?
- Does it show a progression?
- What would be the next step in the progression?
- Provide students with feedback on their work.
Reflections
I.SectionObjectives
- Find the reflection of a point in a line on a coordinate plane.
- Multiple matrices.
- Apply matrix multiplication to reflections.
- Verify that a reflection is an isometry.
II.Cross-curricular-Art
- Students are going to create a reflection.
- They can choose a picture, a symbol, a shape or an image.
- The key thing is that they can reproduce it as a reflection.
- The students are going to show how this image is reflected in a horizontal or vertical plane.
- They can work in small groups on this.
Chapter 3. Geometry TE - Enrichment