1. Course 2, Lesson 1-6 1. The amount a cashier earns is shown in the table. Determine whether the amount earned is proportional to the number of hours worked by graphing on the coordinate plane. Explain your reasoning. 2. An online music club charges a $10 enrollment fee and $2 per month. Does the graph show a proportional relationship. Explain your reasoning. Number of Hours0123 Earnings ($)081624

2. Course 2, Lesson 1-6 ANSWERS 1. proportional; The graph is a straight line that passes through the origin. 2. The graph is a straight line but does not pass through the origin. So, the relationship is not proportional.

3. HOW can you show that two objects are proportional? Ratios and Proportional Relationships Course 2, Lesson 1-6

4. Ratios and Proportional Relationships Course 2, Lesson 1-6 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.2c Represent proportional relationships by equations. 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

5. Ratios and Proportional Relationships Course 2, Lesson 1-6 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 1 Make sense of problems and persevere in solving them. 2 Reason abstractly and quantitatively. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics.

6. To write and solve proportions To use unit rates to write equations Ratios and Proportional Relationships Course 2, Lesson 1-6

7. Ratios and Proportional Relationships Course 2, Lesson 1-6 proportion cross products

8. Ratios and Proportional Relationships Course 2, Lesson 1-6 Words A proportion is an equation stating that two ratios or rates are equivalent. NumbersAlgebra

9. How did what you learned today help you answer the HOW can you show that two objects are proportional? Course 2, Lesson 1-6 Ratios and Proportional Relationships

10. How did what you learned today help you answer the HOW can you show that two objects are proportional? Course 2, Lesson 1-6 Ratios and Proportional Relationships Sample answers: The cross products of any proportion are equal. You can use unit rates to write an equation expressing the relationship between two proportional quantities.

11. Explain how to solve a proportion to determine an unknown value. Ratios and Proportional Relationships Course 2, Lesson 1-6