Modeling with Functions
MOVIE THEATERS
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Talk to your elbow partner about …
--the last movie you saw in a theater
--whether the theater was really full or empty
--how many people were working while you were there
--what they were selling to eat and drink
--how much electricity you think the theater uses
BACKGROUND VOCABULARY
What topics in our opening discussion do you think address the “operating costs” of a movie theater? Why? What are “operating costs”?
What topics in our opening discussion do you think address the “profit” of a movie theater? Why? What is “profit”?
How do “operating costs” and “profit” work together?
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MODELING RELATIONSHIPS
As a team, make sense of the four representations of the relationship between the number of tickets sold at a movie theater and the profit per day.
What similarities/ differences can you see between the different representations?
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MODELING RELATIONSHIPS
As a team, determine which representation(s) would be the most helpful for determining the:
--daily operating costs for the theater
--number of tickets that must be sold for the theater to have a profit of $500
--daily “break-even point” for the movie theater
--rate of change in the relationship
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DISCUSSION
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CLOSURE:
PHILOSOPHICAL CHAIR
Now that we have discussed how all of the representations can give us all of the information we were seeking, it is time to vote for and defend the MOST helpful representations.
Choose the representation A, B, C, or D that is MOST helpful for each statement (on the next slides).
Stand by that letter and discuss with your group why you made that decision. Your goal is to convince others to join you if they initially selected a different representation.
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STATEMENT 1
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Representation ____ is the MOST helpful for determining the …
daily operating costs for the theater
STATEMENT 2
Representation ____ is the MOST helpful for determining the …
number of tickets that must be sold
for the theater to have a profit of
$500
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STATEMENT 3
Representation ____ is the MOST helpful for determining the …
daily break-even point for the movie
theater
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STATEMENT 4
Representation ____ is the MOST helpful for determining the …
rate of change in the relationship
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FINAL THOUGHTS
If you moved at all during our Philosophical Chair (or even just considered it), what point did the group make that was so compelling?
What is something new that you learned about functions today?
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