Module 7.1 Lesson 2.notebook 1 September 04, 2015 Lesson 2: Proportional Relationship 09/4/15 Homework: Lesson #2 Problem Set Do Now Exit Ticket from Lesson 1
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Module 7.1 Lesson 2.notebook
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September 04, 2015
Lesson 2: Proportional Relationship
09/4/15Homework: Lesson #2 Problem Set
Do Now
Exit Ticket from Lesson 1
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EXIT TICKET
Watch the video clip of Tillman the English Bulldog, the Guinness World Record holder for Fastest Dog on a Skateboard.
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EXIT TICKET1. At the conclusion of the video, your classmate takes out his or her calculator and says, “Wow that was amazing! That means the dog went about 5 meters in 1 second!” Is your classmate correct, and how do you know?
2. After seeing this video, another dog owner trained his dog, Lightning, to try to break Tillman‛s skateboarding record. Lightning‛s fastest recorded time was on a 75-meter stretch where it took him 15.5 seconds. Based on this data, did Lightning break Tillman‛s record for fastest dog on a skateboard? Explain how you know.
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Problem Set Solutions (continued)
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If a proportional relationship is described by the set of ordered pairs that satisfies the equation y = kx, where k is a positive constant, the k is called the constant of proportionality. It is the value that describes the multiplicative relationship between two quantities, x and y. The (x, y) pairs represent all the pairs of values that make the equation true.
Finding Constant of Proportionality
yx = k
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Discussion
Does everyone pay the same cost per ounce? How do you know?
Isabelle's brother takes an extra-long time to create his dish. When he puts it on the scale, it weighs 15 ounces. If everyone pays the same rate in this store, how much will his dish cost? How did you calculate this cost?
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Cost is proportional to weight.
y = 0.40 xwhere x represents the weight y represents the cost
y = kx
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Is the number of ounces proportional to the number of cups? How do you know?
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Ounces is proportional to cups.
y = 8 xwhere x represents the cups y represents the ounces
y = kx
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Alex's total earnings are proportional to the number of weeks he worked. There exists a constant value, 28, that can be multiplied by the number of weeks to determine the corresponding earnings for that week. The table shows an example of a proportional relationship.
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Closing1.) How do we know if two quantities are proportional to each other?
2.) How can we recognize a proportional relationship when looking at a table or set of ratios?
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