- Understand the meaning of symmetry.
- Determine all the symmetries for a given plane figure.
- Draw or complete a figure with a given symmetry.
- Identify planes of symmetry for three- dimensional figures.
II.Cross-curricular-PuzzleCreation
- Review the basics of symmetry with the students.
- Have them define symmetry and describe what makes something symmetrical.
- Review symmetry in nature or in other objects or buildings.
- Then assign students the task of taking a symmetrical image and making it into a puzzle.
- Students can use an image from a magazine, a computer image, or a hand drawn image.
- They are going to use cardboard to create a puzzle.
- They can make it as simple or complex as they wish.
- Have students create their puzzle and then exchange puzzles with a peer and work to assemble the other
person’s puzzle. - Allow time for students to share their work when finished.
III.TechnologyIntegration
- Explore the sculptures of Quark Park on the following website.
- http://www.symmetrymagazine.org/cms/?pid=1000396
- Have the students work to discuss each different sculpture in small groups.
- Students should make notes on the symmetrical elements of each sculpture and be prepared to share them with
the class.
IV.NotesonAssessment
- Assess student work through observation.
- Observe students as they create their puzzles.
- Inquire into how symmetry can assist someone in creating or putting together a puzzle.
- Then listen in as students discuss the symmetrical elements of the sculpture in Quark Park.
Dilations
I.SectionObjectives
- Use the language of dilations.
- Calculate and apply scalar products.
- Use scalar products to represent dilations.
II.Cross-curricular-Dilationsincontext
- Ask the students to think about the concept of dilations and to come up with one career where people would
use dilation in their work. - Students need to write a hypothesis on how they think that this profession would use dilations.
- Have them write down their hypothesis.
- Ask students to make a list of questions that they are going to explore.
- If you have use of technology, complete this with the use of the computer.
Chapter 3. Geometry TE - Enrichment