# Unit Rate and Constant of Proportionality

Relating the Unit Rate and Constant of Proportionality

Essential Question:

7.RP.2d

Example 1

Discussion

• How are the constant of proportionality and the unit rate alike?

Example 2

Example 3

d. To the nearest egg, how many eggs would you need to make one crepe for every student at SRMS?

Lesson 7 Problem Set

Exit Ticket

Glencoe: 4-10 Ex 1 (1-4, 7-10)

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 1 Continued

Example 2: Andrea’s Portraits (Group Work)

Summary

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

S.33

Al’s Produce Stand

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 1

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