1. Module 6

1.20. Page 5

Mathematics 10-3 Module 6: Lesson 4

Module 6: Triangles and Other Polygons

 

Lesson Summary

 

This is a photo of Olympic athlete Tom Longboat.

Charles A. Aylett/Library and Archives Canada/C-014090

Cogwagee (Thomas Charles Longboat) was born in 1887 on the Six Nations reserve near Brantford, Ontario. He began racing in 1905, and just two years later set a course record of 2 h 24 min 24 s for the Boston Marathon of 1907!

 

He participated in the 1908 Olympics and, in 1909, Cogwagee turned professional and won the title of Professional Champion of the World. Since 1951, the Tom Longboat Awards have honoured First Nations athletes from each province. From these provincial award recipients, a male and a female national champion is chosen.

 

Note that Tom Longboat’s Boston Marathon record time was much longer than the record time of 27 min 45 s set by Alexander Wuttunee Decoteau for the five-mile race. Keep in mind that a marathon is more than five times the distance of a five-mile race.

 

These historical races demonstrate a relation between the distance of a race and the time needed to run that distance. As you worked through this lesson, did you also find relations between corresponding parts of similar right triangles?

 

Maybe the stories of the First Nations athletes helped you identify geometric relations. The stories may also have helped you select a sports-related item for your Unit 3 Project.

 

In this lesson you explored this question: How are the relationships among similar triangles used in problem solving?

 

Check your level of understanding of the materials covered in this lesson by completing “Lesson 4 Traffic Lights.” If you select an amber or red traffic light in the multimedia piece, you will receive information about additional work you can complete to improve your understanding of the topics. Complete the suggested work before you proceed to the Lesson 4 Assignment. If you experience difficulty, contact your teacher before starting the Lesson 4 Assignment.

 

To answer this question you explored a variety of real-world contexts involving similar triangles and proportional reasoning.

 

Assignment

 

Retrieve the Lesson 4 Assignment Booklet you saved in your course folder at the start of this lesson. Complete the Assignment Booklet. Resave your Assignment Booklet in your course folder and submit a copy to your teacher for assessment.