Lesson 3
1. Lesson 3
1.6. Explore 6
Module 6: Proportional Reasoning

Read “Example 4: Solving a problem that involves different rates” on pages 456 to 458 of your textbook. April used a function while Joanna used equivalent ratio. Which strategy do you prefer?
Self-Check 2
- Complete “Check Your Understanding” question 1 on pages 458 and 459 of the textbook. Answer
- Complete “Practising” questions 3, 5, 12, and 18 on pages 459 to 461 of your textbook. Answer
The following questions are optional if you feel you need more practice solving rate problems.
- Try “Practicing” questions 7, 8, 11, and 16 on pages 459 to 461 of your textbook. Answer
- Try “Extending” questions 19 and 20 on page 461 of your textbook. Answer
- Try “Extending” question 18 on page 453 of your textbook. Answer
Did you know that an understanding of rates can help you to solve some types of puzzles? Well, now’s your chance to use your problem-solving strategy to analyze and solve a rate puzzle!
Share 2

With a partner, complete “Applying Problem-Solving Strategies” on page 462 of the textbook.
You may find it helpful to draw the diagram on a piece of grid paper. As you work through your solution, consider the following questions:
- How does the ruler on the left relate to the diagram? How does the ruler relate to a graph?
- What math have you learned that you can apply to this question?

Use the “Mid-Chapter Review: Frequently Asked Questions” on page 463 of your textbook to supplement or start your notes organizer for Module 6. For instance, consider the following:
- What strategies can you use to compare rates?
- What strategies can be used to solve a problem involving a rate?