- Does it work according to Napolean’s Theorem?
- If not, what would make a difference?
- Is the shape incorrect or does there need to be more shapes?
- How detailed did the student get?
- Is the stained glass window colorful and creative?
- Provide students with feedback on their work.
Altitudes in Triangles
I.SectionObjectives
- Construct the altitude of a triangle.
- Apply the Concurrency of Altitudes Theorem to identify the point of concurrency of the altitudes of the
triangle (the orthocenter). - Use the Concurrency of Altitudes Theorem to solve problems involving the orthocenter of triangles.
II.Cross-curricular-Sculpture
- Investigate the concept of altitude by using the following image. This is Figure 05.05.01
- This is an image of the Mihashira Torii sculpture.
- http://www.en.wikipedia.org/wiki/File:Yamato_mihasira006.jpg
- Use this image and ask the students to share how they think the concept of altitude impacts this sculpture.
- Brainstorm ideas and write them on the board.
- Then set students to work on designing and building their own sculpture.
- You will need dowels, small hand saws, sand paper and wood glue or fast drying glue.
- You can use dowels with a small diameter so that they will be easy to cut.
- The students need to work with a triangle as the basic shape of the sculpture and demonstrate the altitude of
the triangle in their sculpture. - Allow time for the students to work and then present their sculptures when finished.
III.TechnologyIntegration
- Investigate the concept of altitude using the computer.
- Ask the students to search all of the different ways that altitude impacts our way of life.
- Have them keep a list of the websites that they visit.
- They also need to make notes on at least ten different ways that altitude impacts how we live.
- Allow time for students to share their research when finished.
IV.NotesonAssessment
- Assessment is completed through observation.
- Walk around and see how the students are doing on their sculptures.
- Help out when needed.
Inequalities in Triangles
I.SectionObjectives
Chapter 3. Geometry TE - Enrichment