Lesson 4

1. Lesson 4

Mathematics 20-2 M6 Lesson 4

Module 6: Proportional Reasoning

 

Lesson 4: Scale Factor

 
Focus

 

This is a photo of Crazy Horse’s face carved into the stone on the side of a mountain.

© Glenda Powers/#6260390/Fotolia

 

Road trips are an opportunity to visit some amazing local attractions or to experience local history. In the Black Hills of South Dakota, the Crazy Horse Memorial is an example of history on a large scale.

 

Sculptor Korczak Ziolkowski and Lakota Chief Henry Standing Bear officially started the Crazy Horse Memorial on June 3, 1948. The Memorial’s mission is to honor the culture, tradition and living heritage of North American Indians. The original Crazy Horse sculpture depicts the Lakota warrior, Crazy Horse, seated on his horse and pointing over the horse’s head as he says, “My lands are where my dead lie buried.”1

 

 

In order to create the Crazy Horse Memorial, a small model was first sculpted by Mr. Ziolkowski. He used this small model to create a larger model, which is an exact scale enlargement of the original sculpture. The final monument on the mountain will be a very large duplicate of these sculptures. When completed the Crazy Horse mountain carving will be 641 ft long by 563 ft high (approximately 195.4 m by 171.6 m). Crazy Horse’s completed head is 87 ft 6 in (26.67 m) high. The horse’s head is 219 ft (66.8 m) or 22 stories high.


 

This lesson will help you answer the following critical question:

  • How can scale factor be used to produce proportional 2-D shapes or 3-D objects?
Assessment


Did You Know?


The Crazy Horse Memorial is a carving on a massive scale! For more information on the memorial and the museum, including a video of the explosive engineering that is being used to carve the mountain, type “Crazy Horse Memorial” into your favourite Internet search engine. The Crazy Horse Memorial webpage also has webcams, photo galleries, and more information on the carving process.

While you will not be handing in any work from Lesson 4 for marking, the activities in this lesson will prepare you for other assignments in this module.

 

Materials and Equipment
  • calculator
  • ruler

 

 

1Crazy Horse Memorial Foundation