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Ratios, Rates, and Unit Rates

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Most of the time when we work with rates we. use a unit rate. A unit rate ... Match each term below with its corresponding example. Use each term only once. ... – PowerPoint PPT presentation

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Title: Ratios, Rates, and Unit Rates


1
Ratios, Rates, and Unit Rates
2
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.

3
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.

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

5
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.
6
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..
7
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?
8
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.
9
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
10
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.

11
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?

12
Example 2
  • Blank videotapes can be purchased in packages of
    3 for 4.99, or 10 for 15.49. Which is the
    better buy?

13
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?

14
Ok What Did You Learn?
  • Share one piece of paper with a neighbor. Please
    put your name on your half.

15
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
16
Ok What Did You Learn?
Ratio 120 miles per 3 hours Rate
15 ft/s Unit rate 1.15 per pound Unit
price 42
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