Ratios, Rates, and Unit Rates

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Ratios, Rates, and Unit Rates
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RATIOS

• A ratio makes a comparison. There
• are 3 green aliens and 4 purple
• aliens. The ratio of
• green aliens to
• purple aliens is
• 3 to 4.

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RATIOS

• A ratio makes a comparison. The
• ratio of green aliens to total aliens
• is 3 to 7. The ratio of
  
• total aliens to purple
• aliens is 7 to 4.

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RATIOS

• A ratio makes a comparison. Ratios
• can be written in three different
• ways.
• 3 to 4
• 34

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RATES

• A rate is a ratio that compares quantities that
• are measured in different units.

This spaceship travels at a certain speed.
Speed is an example of a rate. Speed can be
measured in many different ways. This spaceship
can travel 100 miles in 5 seconds. 100 miles in
5 seconds is a rate.
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RATES

• A rate is a ratio that compares quantities that
• are measured in different units.

Rates are often written in fraction form. 100
miles in 5 seconds is a rate. It can be written
as..
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RATES

• A rate is a ratio that compares quantities that
• are measured in different units.

One key word that often identifies a rate is
PER. Miles per gallon, Points per free
throw, Dollars per pizza, Sticks of gum per
pack What other examples of rates can your group
think of?
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UNIT RATES

• Most of the time when we work with rates we
• use a unit rate. A unit rate compares a quantity
• to one unit of another quantity.

This alien can walk at a rate of 10 miles in 2
hours. His speed is a unit rate of 5 miles per 1
hour or simply 5 miles per hour.
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UNIT RATES

• A unit rate compares a quantity to one unit of
• another quantity. These are all examples of
• unit rates.

6 tentacles per head 1 tail per body
2 eyes per alien 1 foot per leg
3 windows per spaceship 3 riders per spaceship 2
people riders per dog rider
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Example 1

• By design, movies can be viewed on screens with
  varying aspect ratios. The most common ones are
  43, 3720, 169, and 4720
• A. Order the width-to-height ratios from least to
  greatest.

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Example 1

• By design, movies can be viewed on screens with
  varying aspect ratios. The most common ones are
  43, 3720, 169, and 4720
• B. A wide-screen television has screen width 32
  in. and height 18 in. What is the aspect ratio of
  this screen?

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Example 2

• Blank videotapes can be purchased in packages of
  3 for 4.99, or 10 for 15.49. Which is the
  better buy?

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Example 3

• Leron can buy a 64 oz. carton of orange juice for
  2.49 or a 96 oz. carton for 3.99. Which is the
  better buy?

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Ok What Did You Learn?

• Share one piece of paper with a neighbor. Please
  put your name on your half.

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Ok What Did You Learn?

• Match each term below with its corresponding
  example. Use each term only once.

Ratio 120 miles per 3 hours Rate
15 ft/s Unit rate 1.15 per pound Unit
price 42
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Ok What Did You Learn?
Ratio 120 miles per 3 hours Rate
15 ft/s Unit rate 1.15 per pound Unit
price 42