1. Course 2, Lesson 1-7 Solve each proportion. 1. 2. Solve. Assume all situations are proportional. 3. For every 4 students, 3 like peanut butter and jelly sandwiches. If there are 12 students, how many like peanut butter and jelly sandwiches? 4. On the biking portion of a triathlon, an athlete biked 18 miles in 60 minutes. How many miles will the athlete have biked in 3 hours? 5. If 258 cars pass through an intersection in six hours, how many cars pass through the intersection every two hours? 6. A train travels 4.4 miles in 4 minutes. At this rate, how many miles will it travel in 58 minutes?

2. Course 2, Lesson 1-7 ANSWERS 1. 16 2. 3 3. 9 4. 54 5. 86 cars 6. 63.8 miles

3. HOW can you show that two objects are proportional? Ratios and Proportional Relationships Course 2, Lesson 1-7

4. Ratios and Proportional Relationships Course 2, Lesson 1-7 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. 7.RP.2 Recognize and represent proportional relationships between quantities. 7.RP.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. 7.RP.2d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

5. Ratios and Proportional Relationships Course 2, Lesson 1-7 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Mathematical Practices 1Make sense of problems and persevere in solving them. 3Construct viable arguments and critique the reasoning of others. 4Model with mathematics.

6. To find a constant rate of change by using: A table A graph Ratios and Proportional Relationships Course 2, Lesson 1-7

7. Ratios and Proportional Relationships Course 2, Lesson 1-7 rate of change constant rate of change

8. How did what you learned today help you answer the HOW can you show that two objects are proportional? Course 2, Lesson 1-7 Ratios and Proportional Relationships

9. How did what you learned today help you answer the HOW can you show that two objects are proportional? Course 2, Lesson 1-7 Ratios and Proportional Relationships Sample answers: By finding the constant rate of change from a table or graph. The constant rate of change would show a proportional relationship.

10. Create a table of data that has a constant rate of change. What is the constant rate of change for your table? Ratios and Proportional Relationships Course 2, Lesson 1-7