1. Lesson 8

1.6. Explore 6

Mathematics 20-2 M6 Lesson 8

Module 6: Proportional Reasoning

 

In Try This 3 and Share 1 you found out that making a pool and hot tub 25% larger could result in different dimensions depending on whether the dimensions are increased by 25%, the area is increased by 25%, or the volume is increased by 25%.

 

This illustration shows four possible sets of dimensions for a hot tub. First, the original dimensions are given with a diameter of 10 feet and a depth of 4 feet. For 25 percent larger dimensions, a hot tub with a diameter of 12.5 feet and a depth of 5 feet is shown. For 25 percent larger area, a hot tub with a diameter of 11.2 feet and a depth of 4 feet is shown. For 25 percent larger volume, a hot tub with a diameter of 10.8 feet and a depth of 4.3 feet is shown.

 

Did you and your partner determine the same new dimensions for making the hot tub 25% larger? If not, compare your answers with the Share 1 Solutions.

Self-Check 4


textbook
  1. Complete “Check Your Understanding” question 2 on page 500 of the textbook. Answer

  2. Complete “Practising” questions 5, 7, 10, 11, and 14 on pages 501 and 502 of the textbook. Answer

  3. Complete “Extending” question 20 on page 503 of the textbook. Answer


notes organizer

This is the last lesson in this module. As you have been progressing through each lesson, you have been adding to your Glossary Terms document and your notes organizer. At this point, you may find it helpful to refer to the following items in Chapter 8 of your textbook.

  • “In Summary” boxes at the end of each section in the textbook

  • “Mid-Chapter Review” on pages 463 and 464 of the textbook

  • “Chapter Review” on pages 505 and 506 of the textbook

It would be useful to review these concepts as you prepare to complete this module.