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copy the following table!
IT WILL BE ON THE NEXT TEST!
Definition
Example
Fraction: A number that
represents part of a whole or part
of a set.
½, ¾, ….
Ratio: A comparison of two
quantities by division.
2 out of 3, 2 to 3, 2:3, 2/3
Rate: a ratio comparing two
quantities with different kinds of
units.
36 miles / 3 hours
36 Miles for every 3 hours
$26 for 5 bags
19 songs in 5 minutes
Unit rate: A rate that is simplified
so that it has a denominator of 1.
12 miles/ 1 hour
12 miles per hour
3.8 song in 1 minute
REAL WORLD LINK
• Desiree typed a 15-character text message in
5 seconds.
1. Write the rate Desiree typed as a fraction.
2. What operation would you use to write the
fraction in simplest form?
Questions???
• What is a rate?
• What is a unit rate?
Compare and contrast with a partner and then
we will talk about it..
Examples:
• Samantha picked 45 oranges in 5 minutes.
Write this rate as a unite rate.
1. Write the rate as a fraction.
2. Compare the number of oranges to the
number of minutes.
3. Then divide.
The unite rate is???
Example:
• The Australian dragonfly can travel 18 miles in
30 minutes. How far can the dragon fly travel
in 1 minute?
1. Write the rate as a fraction.
2. Compare the distance to the number of minutes.
3. Then divide.
You try it…
• Ama downloaded 35 songs in 5 minutes. How
many songs did she download per minute?
• Jonathan is baking several loaves of bread to
sell in his bakery. He used 9 cups of water and
12 cups of whole wheat flour. How much
water was used per cup of flour?
Example:
• An adult’s heart beats about 2,100 times
every 30 minutes. A baby’s heart beats about
2,600 times every 20 minutes. How many
more beats does a baby’s heart beat in 60
minutes than an adult’s heart?
– Find the unit rate:
– Using the unit rate for each, determine the
number of beats in 60 minutes.
– Find the difference.
You try it…
• A hummingbird’s heart rate while resting is
about 7,500 beats every 30 minutes. How
many more beats does a hummingbirds heart
beat in 60 minutes that an human baby’s
heart. (human baby’s heart: 2,600 times every
20 minutes.)
Notes:
• We can use what we know about unit rates to
find the unit price.
• A unit price is the cost per unit. To write a
price as a unit price, divide the numerator and
the denominator of the rate by the
denominator.
Example:
• What is the unit price for $36.00 for 4 tickets.
Example:
• Financial Literacy: Four potted plants cost $88.
What is the price per plant?
– Write the rate as a fraction.
– Compare the total cost to the number of plants.
– Then divide.
Homework.