UNIT RATES
By Skanda Sudhir
VOCABULARY AND SYMBOLS
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: -This symbol is a shorter way to say, is to
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:: - This symbol is a shorter way to say, as is to.
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Unit – A math measurement used to find length, width, height,
weight, capacity, etc.
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Sample- A part of a whole quantity to figure out how many of that
unit is in the quantity.
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Ratio- The proportional relation; rate
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Quantity- An amount out of a whole amount of different units.
WHAT ARE UNIT RATES AND HOW DO THEY
HELP US?
Unit rates describe how many units of the first quantity can
correspond to the type of units of the second quantity. A common
unit rate is miles or kilometer per hour. Basically, you write
unit rates like this: (exp.) minute : hour :: 60 : 1.
Unit rates help us by seeing how many of a unit is in a whole
quantity. How? You sample and multiply! But the answer isn’t
always right same or not in the real world because you can’t tell if
all the quantities are the same amount or not.
EXAMPLES AND REAL WORLD EXAMPLES
Here are examples of unit rates
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People : mile :: 400 : 1
o
Kids : school :: 1000 : 1
o
Feet : yards :: 3 : 1
o
The hunger : millionaires :: 10 : 15
Here are some real world examples:
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Usually used in finding ratios.
Scientists, people who find population of people in a city, state,
country, etc., etc. use unit rates to find different populations.
PROBLEMS
Sample problem 1: If there is 5 orphanages in 1 city, than how many
orphanages are in 1,150 cities?
1)
The art museum has a painting that is 3ft wide. If the original painting
was 6ft long and 2ft wide, how long was the painting in the museum?
2)
Scientists counted 1,785 cardinals living in an acre of land. How many
cardinals would live in 15 acres of land?
3)
The ratio of my height to my baby brother’s height is 6 in. to 15 in. What
is my baby brother’s height if I’m 60 in?