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Do Now
1. Nancy earns $180 in 20 hours. What is her
unit rate of her earnings?
2. William can pack 60 toys in 4 hours. What is
his unit rate with which he packs toys?
3. There are 90 students in 3 classes. What is
the unit rate of students per class?
Review
• A ratio is the comparison of two numbers or
measures that have the same unit.
– Ratio of girls to boys in a class 16 girls to 15 boys
– Ratio of wins to losses for Pelicans 34 wins to 48
losses
Review
• A Rate is a ratio between two quantities of
different units.
– 110 miles in 2 hours
– Travel 240 miles on 15 gallons of gas
Review
• Unit rate is the ratio of two measurements in which the
denominator is 1.
• When two ratios are equal, it is called a proportion.
• You solve for a unit rate by setting up a proportion in
which the denominator is 1 and solving for the
unknown.
– 110 miles in 2 hours – How many miles traveled in 1 hour?
– 110 miles / 2 hours = T miles / 1 hour
• Solve for the unknown – T Miles traveled in 1 hour
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Cross multiple
110 X 1 = T X 2
110 = 2T
110 / 2 = 2T / 2
55 = T
55 miles traveled in 1 hour
Lesson
• Objective – Compute unit rate of fractions for
ratios of lengths, areas, time, and other
quantities measured in like and different units
with 80% or greater accuracy.
• How does the objective relate to our review of
ratio, rate, and unit rate?
Lesson
Compute unit rate of fractions
•Step 1 – Identify the two items.
•Step 2 – Set up a proportion where your identified two items
equals and unknown in the numerator and a 1 in the
denominator.
•Step 3 – Solve for the unknown.
•Step 4 – Write out answer in simplest form using the correct
units.
– Sophia used 1/3 of an ounce of cheese to make 1/12 of a pound
of pizza dough. How many ounces of cheese are needed to
make a pound of pizza dough?
Guided Practice
1) Jackson eats 1/4 part of a banana in 1/2
minute. How much time he will need to eat full
banana?
Guided Practice
2) Mike ran 1/2 mile in each 1/7 of an hour;
compute the unit rate (miles per hour) as the
complex fraction.
Guided Practice
3) Mary made 1/5 of a batch of cookies in 1/10
of an hour. How many batches of cookies can
she make in one hour?
Independent Practice
• You will have no more than 30 minutes to
work on your independent practice.
• Independent practice work is to be done
quietly or with 6 in voice if you need to work
with a partner.
• We will review answers as you are working the
problems.
Lesson Review
• A ratio is the comparison of two numbers or
measures that have the same unit.
• A Rate is a ratio between two quantities of
different units.
• Unit rate is the ratio of two measurements in
which the denominator is 1.
• When two ratios are equal, it is called a
proportion.
• You solve for a unit rate by setting up a
proportion in which the denominator is 1 and
solving for the unknown.
Exit Ticket
1. Addison plays 1/2 of a song in 1/8 of a
minute. How many minutes will he need to
play a full song?
2. Joey fills 1/5 of a toffee box in 1/25 of
a minute. How much time will he take to fill a
toffee box?
3. Claire power walks 1/9 of a mile in 1/54 of an
hour. Compute the unit rate as the complex
fraction.