Lessons 1&2: Describing and Graphing Situations

Problem No. 1 Instructions:
[list=1][*]Gather in groups of 4.[/*][*]Individually, think about the first question.[/*][*]Share your thinking with your group.[/*][/list]
A customer at a bagel shop is buying 13 bagels. The shopkeeper says, “That would be $16.25.”
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[/img][img]data:image/png;base64,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[/img][br]Jada, Priya, and Han, who are in the shop, all think it is a mistake.[br][list][*]Jada says to her friends, “Shouldn’t the total be $14.75?”[/*][*]Priya says, “I think it should be $13.00.”[/*][*]Han says, “No, I think it should be $11.25.”[/*][/list]Explain how the shopkeeper, Jada, Priya, and Han could all be right.
Consider displaying a table to summarize the different possibilities for calculating the price of 13 bagels (or the prices for 6 or more bagels), as well as the table showing the best price for each number of bagels bought.
Class discussion
[list][*]“If we graph the relationship between ’number of bagels’ and ’price’...[/*][/list][center][img]data:image/png;base64,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[/img][/center][list][*]“If we graph the relationship between ’number of bagels’ and ’best price’... [/*][/list][center][img]data:image/png;base64,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[/img][/center][br][list][*]“’Number of bagels’ and ’price’ do not form a function, but ’number of bagels’ and ’best price’ do form a function. Why is this? [/*][/list]
Problem No. 2
[list=1][*]Individually, think about the second problem.[br][/*][*]Share your thinking with your group.[/*][/list]
Three days in a row, a dog owner tied his dog’s 5-foot-long leash to a post outside a store while he ran into the store to get a drink. Each time, the owner returned within minutes.
The dog’s movement each day is described here.[br][table][tr][td][img]data:image/png;base64,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[/img][/td][td][list][*]Day 1: The dog walked around the entire time while waiting for its owner.[/*][*]Day 2: The dog walked around for the first minute, and then laid down until its owner returned.[/*][*]Day 3: The dog tried to follow its owner into the store but was stopped by the leash. Then, it started walking around the post in one direction. It kept walking until its leash was completely wound up around the post. The dog stayed there until its owner returned.[/*][/list][br][list][*]Each day, the dog was 1.5 feet away from the post when the owner left.[/*][*]Each day, 60 seconds after the owner left, the dog was 4 feet from the post.[/*][/list][/td][/tr][/table][br]Your teacher will assign one of the days for you to analyze. Write the day in the space below.
Sketch a graph that could represent the dog’s distance from the post, in feet, as a function of time, in seconds, since the owner left.
From the graph, is it possible to tell how many times the dog changed directions while walking around? Explain your reasoning.
Class discussion
“In this situation, what is the input and what is the output?”[br]“Is it possible for the distance to be the input and the time to be the output? Why or why not?
Close

Information: Lessons 1&2: Describing and Graphing Situations