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Session 4 - Similarity, Right Triangles, and Trigonometry

Similarity, Right Triangles, and Trigonometry - Grade Band: High School.

Step 4

Connect: Closing the Lesson (20 minutes):

Activity: Height of a Streetlamp

Activity: Height of a Streetlamp

Focus: MP3: Construct viable arguments and critique the reasoning of others and MP4: Model with mathematics

Directions for Giving the Task:

  1. To solve this problem you need to set up the ratio of the sides according to their similarity and solve for the unknown. Since the flagpole's height and its shadow are similar to the triangle of the person and their shadow, we set the proportion of the flagpole: shadow and person: shadow
  2. The idea is to help students understand why they need different math skills to solve this problem.
  3. Use your knowledge of similar triangles and proportions to find the height of the street lamp. Directions can be found on the worksheet as well. 
  4. Set up equivalent fractions h18=56. 
  5. If students use equivalent fractions they will see that h=15.

Decorative question mark:

Why are students doing this/what are they getting out of it? 

Students will demonstrate if their skill has been generalized by attempting a similar problem but with different triangles of similarity.

Please Note

Decorative pencil icon

If this activity seems to be taking a long time, this would be a good breaking point.