# Unit Rate and Constant of Proportionality

Relating the Unit Rate and Constant of Proportionality

Representing proportional relationships with an equation

Essential Question: Can you use the constant of proportionality in an equation to represent a real world example?

7.RP.2b

Warm up Example 1: Do we have enough gas to make it to the gas station?  Discussion   Example 2: Andrea’s Portraits (Group Work) Assingnment: Lesson 8 Problem Set

Exit  Lesson 9

Essential Question: Can you use the constant of proportionality in an equation to represent a real world example?

7.RP.2c

Warm up

Discussion

• Which makes more sense: to use a unit rate of “ears of corn per dollar” or of “dollars/cents per ear of corn”?
• Based on the previous question, which would be the independent variable?
• Which would be the dependent variable and why?
• How do you write an equation for a proportional relationship in a generic form? Summary Assignment: Lesson 9 Problem Set

Exit Understanding how to find k from y=kx

Essential Question: Can we identify the unit rate from a graph of a proportional relationship?

7.RP.2d

Grandma’s Special Chocolate Chip Cookie recipe, which yields 4 dozen cookies, calls for 3 cups of flour.

• Create a table based upon this relationship.
• Find the values for at least 3 additional quantities of cookies.  Example 2 (Partner Work)  Discussion

• What quantity is measured along the horizontal axis?
• When you plot the ordered pair (A, B), what does A represent?
• What quantity is measured along the vertical axis?
• When you plot the point (A, B), what does B represent?
• What is the unit rate for this proportional relationship?
• How is the unit rate related to the graph? Exercise 1-2 (Partner Work)      Assignment: Lesson 10 Problem Set

Exit 