proportions
DESCRIPTION
Proportions. What is a Proportion?. An equation which shows two equivalent ratios. Why do we use Proportions?. They help us to find relationships in the real world which are similar. There are two methods to evaluate a proportion. Method 1 -- Scale Factor Method 2 -- Cross Products. - PowerPoint PPT PresentationTRANSCRIPT
PROPORTIONS
What is a Proportion? An equation which shows two equivalent
ratios
Why do we use Proportions?
They help us to find relationships in the real world which are similar
There are two methods to evaluate a proportion
Method 1 -- Scale Factor
Method 2 -- Cross Products
Scale Factor Method
Step 1 – Setup the Problem
Julian is the best cake baker in Richmond. To make a cake, he uses 1 egg for every 2 cups of flour. If the recipe calls for 10 cups of flour, how many eggs does he need?
eggs 1 X
flour 2 10
RatioItem
Scale Factor Method
Step 2 – Find number (scale factor) that you can multiply by to get from side with two numbers to side with variable.
eggs 1 X
flour 2 10
Scale Factor Method
Step 2 – Find number (scale factor) that you can multiply by to get from side with two numbers to side with variable.
eggs 1 X
flour 2 10
x5
x5
Scale Factor Method
eggs 1 X
flour 2 10
x5
x5
Step 3 – Multiple to find the answer
2 x 5 = 10 and 1 x 5 = 5; therefore, X = 5
Cross Products Method
Step 1 – Setup the Problem
Tom is driving to New York. He travels 70 miles every 2 hours. If the trip takes 8 hours, how many miles will he travel?
Miles 70 X
Hours 2 8
Ratio
Cross Products Method
Step 2 – Multiple numbers from top left to bottom right
Miles 70 X
Hours 2 8
70 8 = 560
Cross Products Method
Step 3 - Multiply numbers from top right to bottom left
2 · x = 2x
Miles 70 X
Hours 2 8
Cross Products Method
Step 4 - Write products as an equation
Miles 70 X
Hours 2 8
560=2x
Cross Products Method
Step 5 – Divide by this number to get x by itself
560=2x
Example
Cats
Dogs
Wendy works at a kennel. There are 3 cats for every 2 dogs. If she takes in 18 cats, how many dogs will she have?
Ratio
Example
miles
hours
Simone is taking a trip to Florida for spring break. Her family travels 1250 miles in 25 hours. At their rate of travel, how many miles did they travel per hour?