2. Math Module 1 Ratios and Unit Rates
Topic A: Representing and Reasoning about Ratios
Lesson 5: Solving Problems by Finding Equivalent Ratios
6.RP RP.3a
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3. Lesson 5 Target
I can use tape diagrams to find an equivalent ratio when given the part-to-part ratio and total of those two quantities.
I can make the connection between the constant, c, in the definition of equivalent ratios and the value of the unit in the tape diagram used to solve ratio problems.

4. Classwork
Example 1: 10 minutes
Lesson 5

5. Classwork
Example 1: 10 minutes
Lesson 5

6. Classwork
Example 1: 10 minutes
Lesson 5 12

7. Classwork
Example 1: 10 minutes
Lesson 5
192 vehicles

8. Classwork
Example 1: 10 minutes
Lesson 5

9. Classwork
Example 1: 10 minutes
Lesson 5

10. Classwork
Example 2: 10 minutes
Lesson 5

11. 14 x 12 = 168 non-commercial vehicles.
Classwork
Example 2: 10 minutes
Lesson 5
Since every section of the tape diagram represents 12 vehicles, you multiply the number of sections times 12.
14 x 12 = 168 non-commercial vehicles.
5 x 12 = 60 commercial vehicles.

12. Classwork
Exercises: 16 minutes
Lesson 5

13. Classwork
Exercises: 16 minutes
Lesson 5

14. Classwork
Exercises: 16 minutes
Lesson 5

15. Classwork
Exercises: 16 minutes
Lesson 5

16. Lesson 5
Closing
Explain how tape diagrams can be helpful in solving ratio word problems.
I can use tape diagrams to find an equivalent ratio when given the part-to-part ratio and the total of those two quantities.