This document appears to be notes from a math lesson on proportional relationships. It includes examples of proportional word problems involving the cost of food by weight, conversions between cups and ounces, and earnings over time. It also defines proportional relationships as satisfying an equation where y=kx, discusses finding the constant of proportionality k, and explains that proportional relationships can be recognized from consistent ratios that form a straight line when graphed. The document provides work through solutions and discusses recognizing and applying proportional relationships.

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Lesson 2:
Proportional
Relationship
09/10/15
Homework:
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 TICKET
1. 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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S.3

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Problem Set Solutions (continued)
S.3

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S.7

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S.4

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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
y
x
= k

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S.5

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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 x
where x represents the weight
y represents the cost
y = kx
S.5

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Is the number of ounces proportional to the number of cups? How do you
know?
S.5

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Ounces is proportional to cups.
y = 8 x
where 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.
S.6

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Closing
1.) 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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