- Have students use this website, or show them the image and give them the measurements that they will need
to work with. - http://www.daviddarling.info/encyclopedia/T/Triangular_Lodge.html
- This is a building that is composed on a triangle.
- We know that each side of the triangle is 33 feet long.
- If this is the case, what is the altitude of the building?
- Have student work in small groups or pairs to solve this problem.
- Students will need to work through the formula for geometric mean in the text.
- If they are having trouble, refer them back to the text for this information.
- Solution:
- 33× 33 =1089 feet
√
1089 =33 feet- Be sure that the students understand how the measurements are all the same.
- Allow time for questions and feedback.
III.TechnologyIntegration
- Have students complete some research on circus tents.
- Circus tents use poles and canvas to hold up the tent.
- The use of the poles impacts the height or altitude of the tent.
- Ask the students to report on the most common design of a circus tent.
- Have them make a list of the websites that they visit and to select one type of tent or image to discuss.
- You can conduct a discussion about how geometric mean, altitude and triangles connect with circus tents.
- How are they interconnected?
- This will require the students to use higher level thinking skills since the connections may not be obvious.
IV.NotesonAssessment
- Assess student understanding through discussion.
- Try to have time for each group to share.
- You will see how much the students understand through their sharing and conversation.
Special Right Triangles
I.SectionObjectives
- Identify and use the ratios involved with right isosceles triangles.
- Identify and use the ratios involved with 30− 60 −90 triangles.
- Identify and use ratios involved with equilateral triangles.
- Employ right triangle ratios when solving real- world problems.
II.Cross-curricular-Sports
- Use the following image of a baseball diamond from Wikipedia.
- This is Figure 08.04.01
- http://www.en.wikipedia.org/wiki/File:Baseball_diamond_marines.jpg
- This is a problem to solve.
- Here is the problem.
- If the distance between the bases is 90 feet, how far will the first baseman throw the ball to reach the third
baseman?
Chapter 3. Geometry TE - Enrichment