1. Materials Needed for this Lesson Student packet with Class Notes, Exit Ticket and Problem Set Graph Paper Straight Edge

2. 7th Grade Module 1-Lesson 8 Representing Proportional Relationships with Equations Objective: Us e the constant of proportionality to represent proportional relationships by equations in real world contexts as they relate the equations to a corresponding ratio table and/or graphical representation.

3. Class Discussion: How could we use what we know about the constant of proportionality to write an equation?

4. Classwork:Module 1 Lesson 8 Take out Lesson 8 -- Classwork - sp. 29

5. Classwork:Module 1 Lesson 8

7. Discussion:Module 1 Lesson 8 Write the pairs of numbers from your chart as ordered pairs; where x = gallons and y = miles driven. (__,__) (__,__) (__,__) Constant of proportionality: k = y/x W hat does this ratio mean in context of the problem? *Discussion of this question should guide students to understanding that the constant is the same as the unit rate and the constant of proportionality is the multiplier in their equation.

8. Discussion:Module 1 Lesson 8 Equation for your mother's gas records: y = __ x What are the independent and dependent variables in this context? Independent Variable: Dependent Variable: *Discussion of variables should lead to students discussing how the variables are represented on a graph; independent (x- value), dependent (y-value).

9. Classwork:Module 1 Lesson 8 Take out Lesson 8 -- Classwork - sp. 30

10. Classwork:Module 1 Lesson 8

11. Closing: Module 1 Lesson 8 How can unit rate be used to write an equation relating two variables that are proportional?

12. Exit Ticket: Module 1 Lesson 8 a. Determine whether John's wages are proportional to time. If they are, determine the unit rate. If not, explain why not. b. Determine whether Amber's wages are proportional to time. If they are, determine the unit rate. If not, explain why not. c. Write an equation to model the relationship between each person's wages. Identify constant of proportionality for each. Explain what it means in the context of the situation. d. How much would each worker make after working 10 hours? Who will earn more money? e. How long will it take each worker to earn $50?

13. Problem Set: Module 1 Lesson 8 Homework Due: _______ Continued...

14. Problem Set: Module 1 Lesson 8