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

7th Grade Module 1-Lesson 10 Interpreting Graphs of Proportional Relationships Objective: Interpret what points on the graph of a proportional relationship mean in terms of the situation or context of the problem, including the point (0,0). Identify and interpret in context the point (1, r) on the graph of a proportional relationship where r is the unit rate.

Take out Lesson 10 -- Classwork - sp. 37 Classwork: Module 1 Lesson 10 Take out Lesson 10 -- Classwork - sp. 37

Classwork: Module 1 Lesson 10 Complete the following independently. (15 minutes)

Classwork: Module 1 Lesson 10 Discuss your results with a partner. (5 minutes)

Classwork: Module 1 Lesson 10 Have students share out their results to the entire class. This can be done using the smartboard or document camera.

Take out Lesson 10 -- Classwork - sp. 38 Classwork: Module 1 Lesson 10 Take out Lesson 10 -- Classwork - sp. 38

Classwork: Module 1 Lesson 10 Complete independently or with a partner; be prepared to share out.

Discussion: Module 1 Lesson 10 *Use the following questions to lead a class discussion on the point (1, r) and why it must be on the graph and what it means. Questions can be discussed whole group, small group, or with partners. How is the unit rate related to the graph? What quantity is measured along the horizontal axis? When you plot the ordered pair (A, B) what does A represent? What quantity is measured doing the vertical axis? When you plot the point (A, B) what does B represent? What is the unit rate for this proportional relationship? Starting at the origin, if you move one unit along the horizontal axis, how far would you have to move vertically to reach the line you graphed? Why are we always moving 1.5 units vertically? Continue moving one unit at a time along the horizonal axis. What distance vertically do you move? Does this number look familiar? Is it the unit rate? Do you think this will always be the case, whenever two quantities that are proportional are graphed? Graphs of different proportional relationship have different points, but what point must be on every graph of a proportional relationship? Explain why.

Take out Lesson 10 -- Classwork - sp. 39-41 Classwork: Module 1 Lesson 9 Take out Lesson 10 -- Classwork - sp. 39-41 *The following exercises are additional practice to understand how to interpret proportional relationships with graphical representations. These exercises can be done in small groups, with a partner, or individually. They could also be used as homework or a lesson exit ticket.

Exercises: Module 1 Lesson 10

Exercises: Module 1 Lesson 10

Exercises: Module 1 Lesson 10

Closing: Module 1 Lesson 10 What points are always on the graph of two quantities that are proportional to each other? How can you use the unit rate to create a table, equation, or graph of a relationship of two quantities that are proportional to each other? How can you identify the unit rate from a table, equation, or graph? How do you determine the meaning of any point on a graph that represents two quantities that are proportional to each other?

Exit Ticket: Module 1 Lesson 10

Problem Set: Module 1 Lesson 10 Take out Problem Set- sp. 42-44 Homework: Due _________ Continued...

Problem Set: Module 1 Lesson 10 Continued...

Problem Set: Module 1 Lesson 10 Continued...