- Apply various triangles congruence postulates and theorems.
- Know the ways in which you can prove parts of a triangle congruent.
- Find distances using congruent triangles.
- Use construction techniques to create congruent triangles.
II.Cross-curricular-Quiltmaking
- Today have the students use what they have already been working on with regard to their quilts to explain the
different congruence postulates. - This can be a discussion piece that takes place in small groups.
- As the students discuss each of the triangles and how to prove congruence, the students will expand their
understanding of the information. - Next, allow time for students to “catch up” on unfinished work with regard to the quilts.
- If students are sewing, they will probably need an extra day to sew their quilt squares.
III.TechnologyIntegration
- Have students go to the following website to explore the concepts behind proving triangles are congruent.
- http://www.onlinemathlearning.com/congruent-triangles.html
- This website not only has information for students to learn with, but also has short videos for students to
watch. - This is created as a support for students to expand what they have already learned.
IV.NotesonAssessment
- Listen to student explanations during the presentations.
- Listen for accuracy in student explanations.
- If the students are missing important information stop them and provide correction/feedback.
- If the students are not clear in their explanations, help them to clarify their explanation on how to determine
congruence. - You can also use this class as a way for students to complete their quilt squares.
- Help the students to make a backing for the quilt if it is made of cloth.
- If it is in poster form, then display the student quilt posters in the class.
Isosceles and Equilateral Triangles
I.SectionObjectives
- Prove and use the Base Angles Theorem.
- Prove that an equilateral triangle must also be equiangular.
- Use the converse of the Base Angles Theorem.
- Prove that an equiangular triangle must also be equilateral.
II.Cross-curricular-GeodesicDomes
- For this activity, students are going to examine the equilateral triangles in a geodesic dome.
- Use this website to see this image. This is Figure 04.07.01.
- http://www.en.wikipedia.org/wiki/File:Epcot07.jpg
- Ask students to use to image to justify the Base Angles Theorem.
Chapter 3. Geometry TE - Enrichment