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Module 1 Lessons 3 and 4Identifying Proportional andNon Proportional RelationshipsIn Tables

9/8/15Homework:1.) Lesson 3 Problem Set #1-5, 8 2.) Lesson 4 Problem Set #1-23.) Cumulative Review Sheet #1 due tomorrow

Do NowExit Ticket from Lesson 2

Module 7.1 Lessons 3­4.notebook

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If the hours change, does that mean the pay 

MUST change?

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How did you determine the pay for      hours? S.8

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Describe the relationship between the amount of money earned and the number of hours worked in this example.

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Describe the relationship between the amount of money earned and the number of hours worked in this example.

The two quantities are in a proportional relationship since time can be multiplied by the same number to get the amount of pay. 

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How can multiplication and division be used to show the earnings are proportional to the number of hours worked?

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How can multiplication and division be used to show the earnings are proportional to the number of hours worked?Every measure of time (hours) can be multiplied by the constant 8 to get each measure of pay.

Each measure of y (pay) can be divided by 8 to get the corresponding x (hours).

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Yes, pay is proportional to hours because when hours are multiplied by 8, it  gives the corresponding pay amount.  

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Get into pairs and complete Examples 1 ­ 4S.9

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Complete the following class work independently.

Which Team Will Win The Race??

• You have decided to run in a long distance race. There are two teams that you can join.

• Team A runs at a constant rate of 2.5 miles per hour. • Team B runs 4 miles the first hour and then 2 miles per hour

after that.

Task: Create a table for each team showing the distances that would be run for times of 1, 2, 3, 4, ,5 and 6 hours.

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a. For which team is distance proportional to time? Explain your reasoning.

b. Explain how you know distance for the other team is not proportional to time.

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c. If the race were 2.5 miles long, which team would win? Explain.

If the race were 3.5 miles long, which team would win? Explain.

If the race were 4.5 miles long, which team would win? Explain.

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d. For what length race would it be better to be on Team B than Team A? Explain

e. Using this relationship, if the members on the team ran for 10 hours, how far would each member run on each team?

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f. Will there always be a winning team, no matter what the length of the course? Why or why not?

g. If the race is 12 miles long, which team should you choose to be on if you wish to win? Why would you choose this team?

h. How much sooner would you finish on that team compared to the other team?

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Closure

How can you use a table to determine whether the relationship between two quantities is proportional?

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