- Ask students to use the image to prove that an equilateral triangle is also equiangular.
- Show how an equiangular triangle is also equilateral.
- Allow time for the students to share their work in small groups.
- Have students work on designing their own geodesic dome.
- They can draw it out on graph paper.
- Once they decide on the size of the equilateral triangle, the rest comes together quite easily by repeating the
pattern. - The technology integration can help with this.
III.TechnologyIntegration
- In designing their geodesic domes, the students may want some support from technology.
- Students can research geodesic domes and look at some designs for them.
- Here is another option. Use this website.
- http://www.fetchaphrase.com/dome/index.html
- This website shows you how to build a geodesic dome out of cardboard.
- Students can use this to construct small geodesic domes.
IV.NotesonAssessment
- Collect student explanations of the different concepts and theorems from the text.
- Be sure that the students have an understanding of how to prove each one of them using the image of the
geodesic dome. - If anything is unclear, provide students with correction and feedback.
Congruence Transformations
I.SectionObjectives
- Identify and verify congruence transformations.
- Identify coordinate notation for translations.
- Identify coordinate notation for reflections over the axes.
- Identify coordinate notation for rotations about the origin.
II.Cross-curricular-ArtImages
- Have the students select a singular image.
- They can choose any image that they would like to choose as long as it is singular and simple.
- Then have the students make several different copies of the image.
- If it is in book, they can use a copy machine.
- The students are going to create a piece of art using the image and what they have learned about transforma-
tions. - Each of the transformations needs to be represented.
- Students are going to include a reflection, a rotation, a slide and a dilation of their image.
- Students should do this in a creative way.
- Students are welcome to use more copies of the image as long as at least one of the above listed transformations
is in the art piece.
III.TechnologyIntegration
3.4. Congruent Triangles