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.

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– 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?

LessonCompute 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.