grade 5 - newark public · pdf filemrs. hinojosa had 81 feet of ribbon. if each of the 18...

Grade 5 Number and Operation – Fractions

5.NF.3

2012 COMMON CORE STATE STANDARDS ALIGNED MODULES

THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS

Student Pages

THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS

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Two afterschool clubs are having pizza parties. For the Math Club, the teacher will order 3

pizzas for every 5 students. For the Robotics Club, the teacher will order 5 pizzas for every 8

students. Since you are in both groups, you need to decide which party to attend. How much

pizza would you get at each party? If you want to have the most pizza, which party should

you attend?

Journal Question

I am going to give you part of my

candy bar. However, I give you a

choice, do you want either 9/20 or

1/2 of my candy bar? Explain

your answer.

Grade 5 - Lesson 1 Introductory Task - Pizza Party Dilemma

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Use the example below to solve the problems through the use of division.

Ex. 3/4 = ______ 3/4 can be interpreted as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4.

(3/4 = 3÷4) and 3÷4=0.75

1.

1/3 = _______

2.

3/5 = ________

3.

5/8 = _______

Grade 5 - Lesson 1 Guided Practice

Name: _____________________ Date: ________

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Use the example below to help you compare two given fractions in the problems that follow using (<, >, =).

4.

3/11 = ________

5.

6/9 = _________

6.

1/10 = ________

Ex. 3/4 ____ 1/2

3/4 can be interpreted as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are

shared equally among 4 people each person has a share of size 3/4.

(3/4 = 3÷4) and 3÷4=0.75

1/2 can be interpreted as the result of dividing 1 by 2, noting that 1/2multiplied by 2 equals 1, and that when 1 whole is shared

equally among 2 people each person has a share of size 1/2.

(1/2 = 1÷2) and 1÷2=0.5

3/4 _>_ 1/2

7.

1/4 ____ 1/2

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8.

1/5 _____ 3/10

9.

5/6 _____ 2/3

10.

4/12 _____ 1/3

11.

1/4 _____ 1/5

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Use the example below to solve the problems through the use of division.

Ex. 3/4 = ______ 3/4 can be interpreted as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4.

(3/4 = 3÷4) and 3÷4=0.75

1.

2/3 = _______

2.

5/7 = ________

3.

3/8 = _______

Name____________________________ Date_____________________

Grade 5 - Lesson 1 Homework

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Use the example below to help you compare two given fractions in the problems that follow using (<, >, =).

4.

7/11 = ________

5.

2/9 = _________

6.

11/12 = ________

Ex. 3/4 ____ 1/2

3/4 can be interpreted as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are


(3/4 = 3÷4) and 3÷4=0.75

1/2 can be interpreted as the result of dividing 1 by 2, noting that 1/2multiplied by 2 equals 1, and that when 1 wholes are


(1/2 = 1÷2) and 1÷2=0.5

3/4 _>_ 1/2

7.

2/4 ____ 1/2

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8.

3/5 _____ 3/10

9.

8/9 _____ 2/3

10.

5/7 _____ 2/3

11.

1/7 _____ 1/9

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Ten team members are sharing 3 boxes of cookies. How much of a box will each student get? Use pictures,

words, or mathematical thinking to explain your answer.

Grade 5 - Lesson 2 Introductory Task – Cookie Time

Journal Question

In your own words, describe

what a fraction is. Provide

examples to support your

description.

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Look at the example below. Use the bar model to help you correctly answer the questions that follow.

Example:

Your teacher gives 7 packs of paper to your group of 4 students. If you share the paper equally, how much paper does

each student get? (Key: R=red, Y=yellow, B=blue, G=green)

Student 1 Student 2 Student 3 Student 4 1 2 3 4 1 2 3 4 1 2 3 4

R Y B G R Y B G R Y B G R Y B G

Pack 1 Pack 2 Pack 3 Pack 4 Pack 5 Pack 6 Pack 7

Each student receives 1 whole pack of paper and 1/4 of the each of the 3 packs of paper. So each student gets 1 ¾ packs of

paper.

1. If 10 people want to share a 51-pound sack of rice equally by weight, how many pounds of rice should each

person get?

2. If 4 friends want to share 14 slices of pizza equally, how many slices should each friend get?

3. Five brothers are going to take turns watching their family's new puppy. How much time will each brother

spend watching the puppy in a single day if they all watch him for an equal length of time?

4. Mrs. Hinojosa had 81 feet of ribbon. If each of the 18 students in her class gets an equal length of ribbon,

how long will each piece be?


Name____________________________ Date_____________________

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5. Wesley walked 18 miles in 4 hours. If he walked the same distance every hour, how far did he walk in one

hour?

6. If 9 students are sharing 6 gallons of juice. How many gallons of juice does each student get?

7. John has 15 pounds of sugar to deliver to 20 restaurants. How many pounds of sugar will each restaurant

get?

8. Sean started a lawn mowing business for the summer. He needs to cut 27 lawns in 6 hours. How many

lawns will he need to cut each hour?

9. Cindy is driving to Boston to catch a Red Sox game. She drove the 250 miles in 4 hrs. If she drove at a

constant speed, how far did she travel each hour?

10. William will be using a total of 360 chocolate chips while baking batches of cookies. If each batch gets

exactly 16 chocolate chips, how many batches of cookies will he bake?

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Name: ____________________________ Date: _______________________

Look at the example below. Use the bar model to help you correctly answer the questions that follow.

Example:

Tim, Chris, and Mike go to the driving range to hit golf balls. The three men share 2 buckets of balls equally between them. How

many buckets of balls does each get to hit? (Key: T=Tim, C=Chris, and M=Mike)

T C M T C M

Bucket 1 Bucket 2

Each golfer receives 2/3 of one bucket. So each golfer gets 2/3 buckets of balls.

1. If 5 people want to share a 2-pound sack of potato chips equally by weight, how many pounds of potato

chips should each person get?

2. If 4 friends want to share 3 whole pizzas equally, how many pizzas should each friend get?

3. Christopher has to feed his fish every day. He has a container of fish food that is 3 lb. If he uses the exact

same amount every month of the year, how much food does he feed each month?

4. Gilbert, Carlos and Justin decide to drive to Florida to watch the Yankees play the Marlins. If they share the

driving equally, how many days does each person drive if the trip takes a total of two days?


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5. Yissel ran 2 miles in 10 minutes. If she ran the same distance every minute, how far did she run in one

minute?

6. Bill has 6 bags of marbles that he wants to divide up equally among 8 kids. How many of bags marbles will

each kid get?

7. If there are 24 hrs in a day, what fraction of a week is 72 hrs?

8. Sean started a lemonade stand for the summer. He has puts exactly 6 lemons in each pitcher. If he used 72

lemons, how many pitchers did he make today?

9. Tiger Woods played 18 holes of golf and shot a 81. If he scored the same on every hole, how many stroke

did he take on each hole?

10. William will be using a total of 410 raisins while baking batches of cookies. If each batch gets exactly 20

raisins, how many batches of cookies will he bake?

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Everyday Mary and Laura walk to Mrs. Peterson's house to visit her. She always gives them each a chocolate

chip brownie. One day when Mary and Laura walked home, they decided they would share their brownies with

Baby Carrie who was at home and too little to join them. Laura thought she and Mary should each eat 1/2 of

their brownies and give their other brownie halves to Baby Carrie. Mary argued that would not be fair. They

need your advice. How should the girls share their brownies with Baby Carrie so that each sister gets her fair

share?

Grade 5 - Lesson 3 Introductory Task - Mrs. Patterson’s Brownies

Journal Question

There are 25 students in a 5th

grade class. The teacher tells

them to share 30 pencils equally

between all of them. How many

pencils does each student get?

What do you do with the left

over pencils?

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Name: ____________________________ Date: _______________________

Solve each problem below, report each answer as a fraction or mixed number.

1. 23 ÷ 6 =

2. 45 ÷ 7 =

3. 32 ÷ 3 =

4. 26 ÷ 4 =

5. The school’s internet connection can transfer 32 megabytes in 5 seconds. How many megabytes can it

transfer in one second?

6. Katherine’s pet snail can move 42 inches in 8 minutes. How many inches can her snail move in one

minute?


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7. There is a shoe rack at the front door to hold all of your shoes. Each shelf on the shoe rack can hold 4

pairs of shoes. If you have 34 pairs of shoes, how many shelves does your shoe rack need to have?

8. 42 chickens live in chicken coops on Tim’s farm. Each coop hold 5 chickens. How many chicken coops

are there on the farm?

9. 87 guests want to attend the awards banquet. Each table holds 8 guests. How many tables are needed

for the awards banquet?

10. The auto factory can build 1,344 new SUV’s in the next 30 days. How many SUV’s will it build in one

day?

11. Nicholas sold 1,000 doughnuts for his school fundraiser. If the doughnuts we sold in boxes with two

dozen doughnuts each. How many boxes did he sell?

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Name _______________________ Date __________________


1. 87 ÷ 7 =

2. 53 ÷5 =

3. 21 ÷ 6 =

4. 15 ÷ 2 =

5. Suzzy spent $15 on 6 cases of soda. How much did she pay for each case?

6. Gale ran 6 miles in four hours. How many miles did she run each hour?


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7. Dunkin Donuts sold 240 cups of coffee. If they sold a total of 1,920 oz of coffee, and all of the cups

were the same size, how many ounces were in each cup?

8. The six fifth grade classrooms at your school have a total of 27 pencil boxes. How many pencil boxes

does each class have?

9. 187 guests want to attend a wedding. Each table holds 12 guests. How many tables does the wedding

planner need to set up for the wedding?

10. The Boeing aircraft factory can build 127 new 777’s in a year. How many 777’s will it build in one

week?

11. Mountain Creek Water Park made $3,000 in ticket sales today. If 160 people went to the water park,

how much did each ticket cost?

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A rope ladder with 8 rungs that are 9 inches apart is hanging over the side of a pool. The first rung is 9 inches

from the bottom of the empty pool.

If we fill the pool at a rate of 1 foot per hour, how long will it take to reach the top rung of the ladder?

Journal Question

What are we doing with numbers

when we divide? Write a journal

entry as if you were trying to

explain division to another student.

Use examples.

Grade 5 - Lesson 4 Introductory Task - Filling the Pool

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Name _______________________ Date __________________


1. Your class is having a robot building competition. Each team must have 3 members, and there are 23

students in your class. How many teams are in the competition?

2. Taylor can solve riddles very quickly. She solved 11 riddles in 4 minutes. How many did she solve

each minute?

3. Zoey got the lead role in the school play. She learned all of her 48 lines before opening night. If she

learned 7 lines each day, how long did it take her to learn all of her lines?

4. Naomi had $75 that she spent on two pairs of jeans. How much did each pair of jeans cost?


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5. Peter and his friends went to the movies last night. They spent a total of $50 on tickets, and each

ticket cost $12.50. How many people went to the movies?

6. Tori has 8 1st place medals and 4 2

nd place medals from running track. What fraction of her medals

are 2nd

place medals?

7. Shawn has 75 books in his room. He decides to place them all neatly on a bookshelf. Each shelf can

hold 9 books. How many shelves does he need for all of his books?

8. Mr. Romero has 50 stickers to share with 8 students. How many stickers does each students receive?

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9. When the Dynamite Diner checked its food inventory at the end of the month, it had 28 pounds of

butter. How many days will the butter last if 5 pounds of butter are used each day?

10. Victoria loves to read fantasy books. Her new book is 75 pages long. Victoria plans to read 8 pages

each day. How many days will it take Victoria to finish the book?

11. Four classmates each chipped in the same amount of money to buy a birthday present for their

friend, Raven. The present cost $14. How much money did each classmate contribute?

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Name _______________________ Date __________________


1. Ashley has $11. She wants to buy boxes of gum for her brother that cost $3 each. How many boxes of

gum can Ashley buy?

2. Three members of the soccer team shared a 32 inch submarine sandwich for lunch at the Food Factory.

How much of the sub did each person get?

3. Forty-six space cadets on Planet X need to share 161 pounds of oxygen. How much oxygen does each

cadet receive?

4. Sammy the Snail is 80 centimeters away from a piece of food. How long will it take him to reach the

piece of food if he travels only 6 centimeters each hour?


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5. Mr. Guzman had a piece of rope that measured 90 centimeters. He cut it into 11 equal pieces. How long

was each piece?

6. Hope had 94 boxes of thumb tacks. She sorted them into 4 equal piles. How many boxes were in each

pile?

7. Fifty students are attending Race Day at First Avenue School. Teams of 6 students are needed for the

balloon catch game. How many teams could be formed if everyone plays?

8. My mom paid $34 for 4 pillows. Each pillow cost the same amount of money. How much did one

pillow cost?

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9. My nephew has two pet rats. He needs to feed them three times a week. If he uses a total of 4 lbs of

food for the week, how many pounds of food does he use every time he feeds his pet rats?

10. My dog eats twice a day. I use 35 cans of dog food each week. How many cans do I use each time I

feed him?

11. David Wright has 65 hits so far this season for the Mets. If the Mets have played 40 games, how

many hits does he average per game?

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Name _______________________ Date __________________

One week from today we will be at Stokes State Park in Branchville, New Jersey! We are going to be staying

in the cabins near Lake Ocquittunk. Before we go, we need to decide on cabin arrangements. Attached to

this page you will find a map of the Lake Ocquittunk camping area. There are three classes going on the trip,

Mr. Viater’s class of 23 students, Ms. Elliott’s class of 29 students, and Mrs. Ambolt’s class of 28 students.

In addition to the three teachers, there will also be a total of 20 adult chaperones on the trip.

Your job is to figure out what the sleeping arrangements should be. We have reserved all of the cabins and

each one can have a maximum of 8 people in it. Prove what you think would be the best arrangement.

How many people should be in each cabin? Is there more than one way to solve this? What things do you

need to think about before you start solving the problem? How did you solve this? Make sure you explain

your results using as much math language as possible and include some form of representation as well.

Good luck, and remember... show all your work!

Grade 5 - Lesson 5 Golden Problem - Camping Trip

Journal Question

Why is math important in our

daily lives? Provide at least

three examples of how you

use math outside of school.

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Map of Lake Ocquittunk Camping Area

Cabin

Tent Site

grade 5 - newark public · pdf filemrs. hinojosa had 81 feet of ribbon. if each of the 18...

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