Unit Rate and Constant of Proportionality

Relating the Unit Rate and Constant of Proportionality

Essential Question:

7.RP.2d

TExample 1

7.1.7.Exa1

7.1.7.Exa1.27.1.7.Exa1.1

7.1.7.Vocab

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Discussion

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

T Example 2 

7.1.7.Exa2

7.1.7.Exa2.1

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 Example 3

7.1.7.Exa3

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

 

 

 

7.1.7.Summary

 

 

 

 

 

 

 

Lesson 7 Problem Set

Exit Ticket

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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

S  Example 1: Do we have enough gas to make it to the gas station?

7.1.8.Exa1a

 

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Discussion

7.1.8.Discussion

T Example 1 Continued

7.1.8.Exa1b

S Example 2: Andrea’s Portraits (Group Work)

7.1.8.Exa27.1.8.Exa2cSummary

7.1.8.Summary

Assingnment: Lesson 8 Problem Set

 

Exit

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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 S.33

7.1.9.Exa1Al’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?

7.1.9.Exa2

Summary

7.1.9.Summary

 

 

Assignment: Lesson 9 Problem Set

 

 

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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.

 

T Example 1

7.1.10.Exa1

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 Example 2 (Partner Work)

7.1.10.Exa2

7.1.10.Exa2bc

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?

S Exercise 1-2 (Partner Work)

7.1.10.Exe1

7.1.10.Exe1a-f

7.1.10.Exe2a-c

7.1.10.Exe2d

7.1.10.Exe2e-f

 

7.1.10.Summary

Assignment: Lesson 10 Problem Set

 

Exit

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