Proportional Relationships Do Now What is the probability of rolling an even number on a 6 sided number cube Do Now Yogurt Town How it works 1 Choose your frozen yogurt flavor How it works ID: 493908
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Slide1
Module 1 Lesson 2
Proportional RelationshipsSlide2
Do Now
What is the probability of rolling an even number on a 6 sided number cube?Slide3
Do NowSlide4
Yogurt TownSlide5
How it works…
1. Choose your frozen yogurt flavor.Slide6
How it works…
2. Choose your toppings!Slide7
How it works…
3. Weigh it in to find your price!Slide8
Yogurt Town Pricing
Weight (ounces)
12.5
10
5
8
Cost ($)
5
4
2
3.20
Does everyone pay the same cost per ounce?
How do we know?Slide9
Yogurt Town Pricing
Weight (ounces)
12.5
10
5
8
Cost ($)
5
4
2
3.20
Does everyone pay the same cost per ounce?
How do we know?
Yes, everyone pays the same per ounce.
The unit rate, which can be found by dividing the cost by the weight, is $0.40 for each
cost:weight
ratio.Slide10
Yogurt Town Prices
Jaylen’s brother takes an extra long time to choose his toppings. When he places his on the scale, it weighs 15 ounces. How much will his yogurt cost?Slide11
Yogurt Town Prices
Jaylen’s brother takes an extra long time to choose his toppings. When he places his on the scale, it weighs 15 ounces. How much will his yogurt cost?
$6.00
To find this, we multiply the ounces (15) by the cost per ounce ($0.40)
All of this tells us the cost is proportional to the weight.Slide12
Yogurt Town Pricing
Weight (ounces)
x
12.5
10
5
8
Cost ($)
y
5
4
2
3.20
x 0.40
x 0.40
x 0.40
x 0.40Slide13
Yogurt Town Pricing
Weight (ounces)
x
12.5
10
5
8
Cost ($)
y
5
4
2
3.20
x 0.40
x 0.40
x 0.40
x 0.40
y = 0.40 • xSlide14
Recipes
The diagram above is found in the back of a cook book. What does it tell us?
Is the number of ounces proportional to the number of cups? Why or why not?Slide15
Recipes
The diagram above is found in the back of a cook book. What does it tell us?
The number of ounces in a given number of cups.
Is the number of ounces proportional to the number of cups? Why or why not?
Yes. You can multiply the number of cups by 8 to get the number of ounces. Slide16
Recipes
How can we write an equation for this scenario?Slide17
Recipes
How can we write an equation for this scenario?
y = 8 • xSlide18
Lesson Summary
Measures in one quantity are proportional to measures of a second quantity if there is a
number that can be multiplied by the first quantity to get the second.