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Do Now Nancy earns $180 in 20 hours. What is her unit rate of her earnings? William can pack 60 toys in 4 hours. What is his unit rate with which he packs toys? There are 90 students in 3 classes. What is the unit rate of students per class? 10 minutes - 3 minutes for the students and 7 minutes to review how the students solved the problems.

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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 5 minutes Have students provide examples of ratios

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**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 5 minutes Have students provide examples of rate

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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 10 minutes – With examples the students provided calculate as a group the unit rate.

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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? 10 minutes – Have a student read the objective. Then have other students provide the objective in their own words – Use Think-Pair-Share. Have the students Answer the question – Use Think-Pair-Share.

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**Compute unit rate of fractions**

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? Model

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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? 10 minutes total for Guided Practice

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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.

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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?

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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. 30 minutes

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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. 7 minute

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Exit Ticket Addison plays 1/2 of a song in 1/8 of a minute. How many minutes will he need to play a full song? 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? Claire power walks 1/9 of a mile in 1/54 of an hour. Compute the unit rate as the complex fraction. 3 minutes

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Ratios and Unit Rates.

Ratios and Unit Rates.

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