Real –World Practice with Rates and Unit Rates 1

Warm Up OBJECTIVE: Students will use unit rates to compare quantities in real- life situations. Language Objective: Students will use vocabulary relating to rates like per and for every. Agenda 2 Kyle can mow 3 lawns in 2 hours. If Kyle takes the same time to mow each lawn, how long does it take him to mow 1 lawn? Write a sentence! Hint: Convert the time from hours to minutes. We’ll use a unit rate to solve this question: 2 hours  2 (60 minutes) = 120 minutes 120 minutes 3 lawns 40 minutes 1 lawn = This means that Kyle can mow 1 lawn in 40 mins.

Launch Agenda 3 Please watch the following video on Usain Bolt, the Olympic Gold Medalist in the Men’s 100-meter spring. Answer the questions below! 1) How fast does Usain run the 100 meter sprint? 2) Does he run this race in seconds, minutes or hours? 3) After how many meters can Usain tell if he will win a race? 4) What country is Usain from? seconds After 70 meters Jamaica

Launch Agenda 4 Let’s find the Usain’s speed using rates and unit rates! We will compare distance (meter) to time (seconds). Step 1: Write a rate in fraction form Step 2: Simplify to write as a unit rate Let’s learn a trick to convert a rate to a unit rate! 100 meters 9.69 seconds Hold up! How can we simplify this rate? Yahhh! Tricks make math easier!

Launch Agenda 5 Step 2: Simplify to write as a unit rate Let’s learn a trick to convert a rate to a unit rate! 100 meters 9.69 seconds What operation does the fraction bar represent in the ratio? Divide is right!! Let’s divide 100 meters by 9.69 to find a unit rate! REVIEW: We can write this as division problem: This unit rate means Usain runs seconds per second. This unit rate also means that in 1 second Usain Bolt runs meters.

Explore: Mini-Lesson 6 Agenda Let’s find the unit rate of each real-world situation! (ex 1) Kenny goes to the grocery store and buys 5 pounds of Apples for $8.40. Step 1: Write a rate in fraction form. Step 2: Divide to find the unit rate.. $8.40_ 5 pounds $8.40 ÷ 5 pounds = $1.68 per pound Kenny paid $____ per ______ of apples.. What does this unit rate mean? Kenny paid $1.68 per pound of apples..

Explore: Try with a Partner 7 Agenda Let’s find the unit rate of each real-world situation! (ex 2) Michelle is computer programmer who designs video games. She works 30 hours each week and makes $2,535. Step 1: Write a rate in fraction form. Step 2: Divide to find the unit rate.. $2,535_ 30 hours $2,535 ÷ 30 hours = $84.50 per hour Michelle makes $84.50 per hour Write a sentence to explain this situation.

Explore: A New Challenge 8 Agenda (ex 3) Cameron has 2 jobs offers as a camp counselor. At the YMCA, he will be paid $90 for working 8 hours. At the school’s day camp, he will be paid $78 for working 6.5 hours. Brainstorm with your partner: Which job should Cameron take? Use your note’s from today to help you!

Explore: A New Challenge 9 Agenda (ex 3) Cameron has 2 jobs offers as a camp counselor. At the YMCA, he will be paid $90 for every 8 hours of work. At a school day camp, he will be paid $78 for every 6.5 hours of work. Brainstorm with your partner: How can we decide which job pays Cameron the most per hour? YMCA JobSchool Job $90 ÷ 8 hours = $11.25 per hour $78 ÷ 6.5 hours = $12 per hour Create a table to organize your work! Write a sentence to answer question. Cameron should choose the school job because he will make $12 per hour which is $0.75 more than at the YMCA.

Explore: Practice with a Partner 10 Agenda (ex 4) Maria is a clothing designer and needs to buy a lot of buttons to make her clothes! The following shows button advertisements from 2 different stores: Button R’ UsButton-Up! Answer the following questions: a)What is the unit rate for buttons at Button R’ Us? b)What is the unit rate for buttons at Button-Up? c)Which store do you think Maria should buys buttons from? 55 Buttons for $ Buttons for $12.60

Explore: Practice with a Partner 11 Agenda Button R’ UsButton-Up! Answer the following questions: a)What is the unit rate for buttons at Button R’ Us? b)What is the unit rate for buttons at Button-Up? c)Which store do you think Maria should buys buttons from? Explain your answer! 55 Buttons for $ Buttons for $12.60 $5.50 ÷ 55 buttons = $0.10 per button $12.60 ÷ 140 buttons = $0.09 per button Button-Up is cheaper than Button R’Us by 2 cents.

Challenge: Practice with a Partner 12 Agenda Button-Up! Maria has decided to use the Button-Up! Company! Remember, she found a unit price of $0.09 per button. How much would it cost her to buy 500 buttons? 140 Buttons for $ buttons x $0.09 per button = $45.00

Assessment 13 Agenda Try on your own: Martina drives 360 miles in 6 hours and Carlos drives 248 miles in 4 hours. Who drives the fastest? Martina: 360 miles ÷ 6 hours = 60 miles per hour Carlos: 248 miles ÷ 4 hours = 62 miles per hour Carlos has a faster rate at 62 miles per hour!

Summary – Partner Work 14 Agenda 1) Today, we learned that to compare rates, we can first find the ______ ______. 2)A unit rate is a comparison of 2 different quantities where one measurement has only _____ unit. 3)We can use unit rates to find things like how much a job pays per hour. What other real-world examples are there for using unit rates? unit rate 1