Grade 5 Units 7 & 8 Week 7 · division of a unit fraction by a whole number. Solve and create word division of a whole number by a unit fraction. Solve and create division word problems

$Page 1: Grade 5 Units 7 & 8 Week 7 · division of a unit fraction by a whole number. Solve and create word division of a whole number by a unit fraction. Solve and create division word problems$
School Closure Review: Grade 5 - Week 7 Copyright © Swun Math

Grade 5 Units 7 & 8 Week 7 Parents: Please help your child choose the most appropriate assignment(s) to complete each day. When the day’s assignment is done, students finish the two reflection statements on this page.

Please note Extra Practice activities are on-level for the grade level. Re-Engage activities give students additional support. Special Education students should use the Re-Engage lessons as shown in the weekly plans.

Monday Tuesday Wednesday Thursday Friday

Top

ic

Solve word problems by multiplying fractions.

Apply and demonstrate an understanding of multiplying fractions.

Solve and create story problems involving division of a unit fraction by a whole number.

Solve and create word problems involving division of a whole number by a unit fraction.

Solve and create division word problems involving unit fractions and whole numbers.

Ass

ign

men

t Unit 7 Lesson 11

Re-Engage A Re-Engage B

Extra Practice

Unit 7 Lesson 12

Homework

Unit 8 Lesson 2

Re-Engage Extra Practice

Unit 8 Lesson 6

Re-Engage Extra Practice

Unit 8 Lesson 7

Re-Engage A Re-Engage B

Extra Practice

Vid

eo

link

Unit 7 Lesson 11 English Spanish

Student Support Video (no video for Math Tasks)


Student Support Video





Flu

ency

P

ract

ice

Division A Divisors within 100

(70 items)

Multiplication A Products within 100

(70 items)

Online Facts Practice Multiplication Families

from 2 to 9 5-10 minutes

Multiplication B Products within 100

(70 items)

Mixed Multiplication & Division

Ref

lect

ion

One thing I was successful with is…





One thing I need more help with is…





Find this packet on swunmath.com. Click on the hyperlinks to jump to the lesson videos.

https://swunmath.com/student-videos/video.php?g=5&u=7&l=11

https://swunmath.com/student-videos/video.php?g=5&u=7&l=11&sp=true

https://drive.google.com/open?id=1-5Pdf-UY_cHOCoJ1kuzjC5ouwci0V59n



https://drive.google.com/open?id=1i4idYO-22mmeKBCCkh7uvCOqmTxxusqS



https://drive.google.com/open?id=1YJcpaIy-3iybdzPGZKNBmcsEYRA7_nye



https://drive.google.com/open?id=12OUDNrOEpdLbyIp3vsXuCMuj2svQE6uh

https://swunmath.com/facts/multiply.php

Copyright © Swun Math Grade 5 Unit 7 Lesson 11a Re-Engage

Name: ____________________________ Date: ______________________________

Re-Engage Unit 7 Lesson 11a: Solve Word Problems by Multiplying Fractions Using an Algorithm

Model

1. Mr. Suzuki has 1/3 of a pepperoni pizza. He gave 2/4 of what he has to his friend Mr. Rodriguez. What fraction of the whole pizza did Mr. Rodriguez get?

Mr. Rodriguez got ______ of the whole pizza.

2. Of all Mr. Le’s science students, 3/5 earned a passing grade. Of the students who passed, 1/4 earned an A. What fraction of Mr. Le’s students earned an A?

Of all Mr. Le’s students, ______ earned an A.

Structured Guided Practice Directions: Solve using an algorithm.

Steps:

1. Read and understand the problem.

2. Identify the unknown value and key words.

3. Draw an area model to support your thinking.

4. Write the equation.

5. Solve using an algorithm.

In Room 19, 2/3 of the students play baseball. Of the students who play baseball, 1/2 of them also play soccer. What fraction of the students in Room 19 play both baseball and soccer?

In Room 19, ______ of the students play both baseball and

soccer.

baseball

soccer

baseball & soccer

1 ×

2 =

2 or

1 2 3 6 3

1 3


Re-Engage Unit 7 Lesson 11a: Solve Word Problems by Multiplying Fractions Using an Algorithm

Student Practice Directions: Solve using an algorithm.

1. 3/4 of the students in class have pencils. 1/2 of the students with pencils also have highlighters. What fraction all of the students have pencils and highlighters?

______ of all the students have both pencils

and highlighters.

2. A jar contains 7/8 of a cup of jam. Mom put 1/4 of the contents into a serving bowl. What fraction of the whole jar of jam was put in the serving bowl?

______ of the whole jar of jam was put in the serving bowl.

3. Jett had 2/3 of a chocolate cream pie. He gave 3/4 of what he has to his sister Kaylor. What fraction of the whole pie did Kaylor get?

Kaylor got ______ of the whole pie.

4. Half of the chorus wore a scarf for the holiday performance. 2/5 of the scarves were blue. What fraction of the chorus members wore a blue scarf?

Of all the chorus members, ______ wore a blue scarf.

Copyright © Swun Math Grade 5 Unit 7 Lesson 11b Re-Engage

Name: ____________________________ Date: ______________________________

Re-Engage Unit 7 Lesson 11b: Solve Word Problems by Multiplying Mixed Numbers Using an Algorithm

Model

1. 4 science teachers each ordered 33/4 pounds of sand for an experiment. How much sand was ordered altogether?

The science teachers ordered ______ pounds of sand.

2. The family dog is fed 23/5 cups of food every day. How much food is the dog fed each week?

The family dog is fed ______ cups of food each week.

Structured Guided Practice Directions: Solve using an algorithm.

Steps:



3. Write the equation.

4. Solve using an algorithm.

A lemonade recipe calls for 21/4 cups of sugar per batch. How much sugar is needed for 5 batches of lemonade?

______ cups of sugar are needed.

2 1

× 5 = 4

9 × 5 = 45 1 = 11 4 1 4 4

9 × 5 = 4 1 × 11

4 45 - 6 1

11 1 4


Re-Engage Unit 7 Lesson 11b: Solve Word Problems by Multiplying Mixed Numbers Using an Algorithm

Student Practice Directions: Solve using an algorithm.

1. A soup recipe calls for 13/4 pounds of chopped vegetables per batch. How many pounds of chopped vegetables are needed for 3 batches of soup?

______ pounds of chopped vegetables are needed.

2. A gallon of milk weighs 83/5 pounds. How much do 5 gallons weigh?

5 gallons of milk weigh ______ pounds.

3. A pitcher hold 22/3 quarts. It was filled with water 4 times and mixed with fruit punch powder in a decanter. How many quarts of fruit punch was made?

______ quarts of fruit punch was made.

4. A can of cola has 91/3 teaspoons of sugar. Daniel drank 4 cans of cola. How many teaspoons of sugar did he consume?

Daniel consumed ______ teaspoons of sugar.

Copyright © Swun Math Grade 5 Unit 5 Lessons 11 Extra Practice

Name: ____________________________ Date: ______________________________

Extra Practice Unit 7 Lessons 11: Solve Word Problems by Multiplying Fractions Using an Algorithm

Directions: Solve and check the reasonableness of your answer.

1. 12 friends want to order pizza for dinner. They predict each person will eat 1/3 of a pizza. How many pizzas should they order?

2. Marty’s Doughnut Shop sold 1/3 as many glazed doughnuts as cinnamon doughnuts. If they sold 4/5 of a tray of cinnamon doughnuts, how many trays of glazed doughnuts did they sell?

3. Denise uses 2 1/3 tablespoons of vinegar in her salad dressing recipe. How much vinegar would Denise use to make 1/2 of a batch of salad dressing?

4. At a high school 3/7 of the students play a sport. Of the students who play a sport, 1/6 play basketball. What fraction of the students at the high school play basketball?

Copyright © Swun Math Grade 5 Unit 5 Lessons 11 Extra Practice

Extra Practice Unit 7 Lessons 11: Solve Word Problems by Multiplying Fractions Using an Algorithm

Directions: Solve and check the reasonableness of your answer.

5. Greg had 2/3 of an apple pie. He gave 3/4 of what he had to his friend Eddie. What fraction of the pie did Eddie get?

6. Ian picked 12 plums from a tree in the garden and ate 1/4 of them before lunch. How many plums did he eat before lunch?

7. Harry is baking blueberry pies to sell at his bakery. He starts with 9 cartons of blueberries, of which he uses 1/3 for the first batch of pies. How many cartons of blueberries does Harry use for the first batch of pies?

8. Yancy operates a lemonade stand. On Monday, he used 5/6 of a bag of lemons. On Tuesday, he used 1/3 as many lemons as on Monday. How many bags of lemons did Yancy use on Tuesday?

Copyright © Swun Math Grade 5 Unit 7 Lesson 12 T HW

Name: ____________________________ Date: ______________________________

Homework Unit 7 Lesson 12: Multiplying Fractions

Directions: Estimate and solve.

1. In the month of April, which has 30 days, both Sally and Jack start volunteering at the library beginning Monday, April 1st. Sally works every 4th weekday for 1/4 of a day. Jack works every 5th weekday for 3/8 of a day. In that month, who spends more time working at the library?

2. Five students run a mile in P.E. class. Each student’s time is listed below. Using Emily’s time, calculate the time for the other students.

Emily: 7 1/2 minutes Danny: 3/4 times Emily’s time Alicia: 1 2/5 times Emily’s time Nate: 1 1/2 times Emily’s time Maria: 5/6 times Emily’s time

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

April

28 29 30

Copyright © Swun Math Grade 5 Unit 7 Lesson 12 T HW

3. Jim went to the meat counter at the market and ordered the following:

4 lbs of ham 1 3/4 lbs of swiss cheese 2 1/2 lbs of turkey He used exactly 1/3 of each of the ingredients to make sandwiches for his brother and himself. How much of each item was left after he made the sandwiches?

4. Lincoln Elementary School is a brand new school. When the 4th grade teachers first saw the school, they talked about which rooms were larger.

The dimensions of the rooms are in the table below:

Part 1:

Which rooms are larger than Room 5? Which rooms are smaller than Room 5? How do you know?

Part 2: Without calculating, list the rooms in ascending (least to greatest) order in terms of size. Write an explanation about how you determined the order of the rooms.

Homework Unit 7 Lesson 12: Multiplying Fractions

Directions: Estimate and solve.

Rooms Length Width

Room 5 40 feet 30 1/3 feet

Room 6 3/4 the length of Room 5 30 1/3 feet

Room 7 1 4/10 the length of Room 5 30 1/3 feet

Room 8 1 1/8 the length of Room 5 30 1/3 feet

Room 9 7/8 the length of Room 5 30 1/3 feet

Copyright © Swun Math Grade 5 Unit 8 Lesson 2 Re-Engage

Name: ____________________________ Date: ______________________________

Re-Engage Unit 8 Lesson 2: Divide a Unit Fraction by a

Whole Number – Create a Story

Model

1.

2.

Structured Guided Practice Directions: Create a story for each problem.

1 ÷ = 3

3 1

÷ = 3 6

1 ÷ = 2

2

Dividend Divisor

Greg has of a pie . He /She wants to equally share

(Person’s name)

(dividend) (name of object being shared)

1 2

the pie with 2 of his friends . How much /many of the pie

(name of the object being shared)

(divisor) (name of groups) (name of object being shared)

will each friend get?

(name of groups)

has (Person’s name) (dividend)

. He/She wants to equally (name of object being shared)

share with (name of object

being shared) (divisor)

. How much/many (name of groups) (name of object

being shared)

will each get? (name of groups)






being shared)



Re-Engage Unit 8 Lesson 2: Divide a Unit Fraction by a

Whole Number – Create a Story

Student Practice Directions: Create a story for each problem.

1. 2.

3. 4.

1 ÷ = 4

5 1

÷ = 6 4






being shared)







being shared)


1 ÷ = 2

6 1

÷ = 3 4






being shared)







being shared)


Copyright © Swun Math Grade 5 Unit 8 Lessons 1-3 Extra Practice

Name: ____________________________ Date: ______________________________

1. Rick has 1/2 a large pizza. He gives it to his 5 friends to share equally. What amount of the pizza will each friend get?

Extra Practice Unit 8 Lessons 1-3: Divide a Unit Fraction by a Whole Number

Directions: Write an equation and solve or create a word problem, draw a model, and solve.

2. Create a word problem, model, and solve for the following equation: 1 ÷ 4 = x

2


4. Create a word problem, draw a model, and solve the following equation: 1 ÷ 3 = w

3

3. A restaurant used 1/4 of a barrel of peanuts to make 3 batches of granola bars with an equal amount of peanuts. How much of the barrel of peanuts did the restaurant put in each batch?




5. Create a word problem, model, and solve for the following equation:

6. Bruno grew tomatoes this summer and used them to make a 1/2 gallon of tomato sauce. He split the sauce into 4 equal portions to freeze and use later. How many gallons was each portion?

1 ÷ 6 = m

2




7. Create a word problem, model, and solve for the following equation:

8. Maria has 1/3 lb of cat food. She wants her 5 cats to equally share the food. How much cat food will each cat get?

1 ÷ 2 = z

6




Name: ____________________________ Date: ______________________________

Re-Engage Unit 8 Lesson 6: Divide a Whole Number by a Unit Fraction - Word Problems

Model

1. Draw a model for the dividend.

Divide each whole by the divisor.

Count the total number of parts.

2.

Structured Guided Practice Directions: Draw a model or create a story for the problem.


2. Divide each whole by the divisor.

3. Count the total number of 1/3 parts for the quotient.

There are 6 total parts.

÷ 1

= 2 4

÷ 1

= 2 3

1 3

1 3

1 3

1 3

1 3

1 3

1 3

1 3

1 3

1 3

1 3

1 3

1 2 3 4 5 6

1 3 ÷ 1 = 2 6 3

Jim has 2 lb (Person’s name) (dividend)

of beef and he /she wants to make (material, ingredient)

hamburgers that require lb of beef (thing to be made) (divisor)

for each hamburger . How many (thing to be made)

can he /she make? hamburgers (thing to be made)

1 3

÷ 1

= 2 3


and he/she wants to make (material, ingredient)

that require (thing to be made) (divisor)

for each . How many (thing to be made)

can he/she make? (thing to be made)

÷ 1

= 2 4


Re-Engage Unit 8 Lesson 6: Divide a Whole Number by a Unit Fraction - Word Problems

Student Practice Directions: Draw a model or create a story for the problem.




2.




4.

÷ 1

= 3 2






÷ 1

= 3 2

÷ 1

= 2 5






÷ 1

= 2 5


Name: ____________________________ Date: ______________________________

1. 3 ÷ 1/4 =

Extra Practice Unit 8 Lessons 4-6: Divide a Whole Number by Unit Fraction

Directions: Create and solve a word problem for the mathematical expression. Or, write an equation and solve the word problem.

2. Hector has 2 cups of chocolate chips and each batch of cookies uses 1/3 cup of chocolate chips. How many batches of cookies can he make?


4. If you have 6 cookies and you break the cookies into thirds, how many pieces will you have?

3. 4 ÷ 1/2 =




5. 2 ÷ 1/6 =

6. How many 1/4 cup servings of ice cream are there in a tub that holds 6 cups?




7. 5 ÷ 1/3 =

8. An aquarium holds 6 gallons of water. If a jug holds 1/2 of a gallon of water, how many jugs will be needed to fill the aquarium?




Name: ____________________________ Date: ______________________________

Re-Engage Unit 8 Lesson 7a: Word Problems - Divide Unit Fractions by Whole Numbers

Model

1. A third of a gallon of juice is poured equally into six glasses. How much juice is in each glass?

Equation: ________________________

Draw a model.

______ of a gallon is in each glass.

2. A timeline shows 1/4 of a year. The timeline is divided into 4 equal parts. What fraction of a year is represented by each part?

Equation: ________________________

Draw a model.

______ of a year is represented in each part.

Structured Guided Practice Directions: Solve by creating a model.

1 ÷ = 3

2

Steps:



3. Write an equation.


5. Divide the model by the divisor.

6. Count the number of total pieces in the whole for the denominator.

7. When dividing a unit fraction by a whole number, the numerator will always be 1.

A half-gallon of ice cream was equally shared by three football players. How much ice cream did each football player eat?

Each football player ate ______ of a gallon of ice

cream.

1 6

6

1 6


Re-Engage Unit 8 Lesson 7a: Word Problems - Divide Unit Fractions by Whole Numbers

Student Practice Directions: Solve by creating a model.

1. A half-mile race is divided into 6 equal parts for a relay race. What fraction of a mile is each part of the race?

Equation: ________________________

Draw a model.

Each part of the race is ______ of a mile long.

2. A quarter of a pie is left over. Two siblings share it equally. What fraction of the whole pie will each sibling get?

Equation: ________________________

Draw a model.

Each sibling will get ______ of the whole pie.

3. Jill has 1/3 of a pound of whipped butter. She needs to equally fill 5 serving dishes. How much whipped butter will she put in each serving dish?

Equation: ________________________

Draw a model.

Jill will put ______ of a pound of whipped butter in each serving dish.

4. Jack has 1/2 of a yard of ribbon. He cut it into 3 equal parts. What is the length of each piece of ribbon?

Equation: ________________________

Draw a model.

Each piece of ribbon is ______ of a yard long.


Name: ____________________________ Date: ______________________________

Re-Engage Unit 8 Lesson 7b: Word Problems - Divide Whole Numbers by Unit Fractions

Model

1. Five gallons of juice was frozen in half-gallon blocks. How many blocks of frozen juice are there?

Equation: ________________________

Draw a model.

There are ______ blocks of frozen juice.

2. Three years are represented on a timeline. Each year is divided into quarter-year sections. How many sections are on the timeline?

Equation: ________________________

Draw a model.

There are ______ sections on the timeline.

Structured Guided Practice Directions: Solve by creating a model.

÷ 1

= 3 2

1 2 3 4 5 6

1 2

1 2

1 2

1 2

1 2

1 2

1 2

1 2

1 2

1 2

1 2

1 2

Steps:



3. Write an equation.


5. Divide the model by the divisor.

6. Count the number of total pieces in the whole for the denominator.

7. When dividing a whole number by a unit fraction, the denominator will always be 1.

Three cups of ice cream are divided into half-cup servings. How many servings of ice cream are there?

There are ______ servings of ice cream. 6


Re-Engage Unit 8 Lesson 7b: Word Problems - Divide Whole Numbers by Unit Fractions

Student Practice Directions: Solve by creating a model.

1. A 4-mile race is divided into quarter-mile lengths to be run by different racers. How many racers are needed?

Equation: ________________________

Draw a model.

______ racers are needed.

2. The baker baked 3 cakes. Each cake was sliced into eighths. How many cake slices are there?

Equation: ________________________

Draw a model.

There are ______ slices of cake.

3. Jill has 4 cups of shortening. Her pie crust recipe calls for a half-cup of shortening. How many pie crusts can she make?

Equation: ________________________

Draw a model.

Jill can make ______ pie crusts.

4. Jack has 2 yards of green ribbon. Each wreath he makes uses 1/4 of a yard of ribbon. How many wreaths can he make?

Equation: ________________________

Draw a model.

Jack can make ______ wreaths.

Copyright © Swun Math Grade 5 Unit 8 Lesson 7 Extra Practice

Name: ____________________________ Date: ______________________________

1. Sherrie wants to use her 3 pots to plant some flowers. She has 1/3 bag of soil. If she puts the same amount of soil in each pot, how much soil does each pot contain?

Extra Practice Unit 8 Lesson 7: Word Problems Involving Unit Fractions and Whole Numbers

Directions: Solve. Identify whether the dealing or measuring up strategy was used.

2. Create a word problem, draw a model, and solve for the following equation:

1 ÷ 2 = x

4



3. John has a piece of string that measures 9 yards. He wants to cut the string into sections that measure 1/3 yards each. How many 1/3 yard piec-es will he get?

5 ÷ 1

= x 4





6. If you have 3 cookies and you break the cookies into fourths, how many pieces will you have?

4 ÷ 1

= x 6





8. Sophia has 1/3 of a pound of cat food. She will feed the kitty the same amount for 4 days. How much cat food can she give the kitty each day?

1 ÷ 3 = x

8



Name__________________________________ Date____________

Copyright © Swun Math 147 Beyond the Basic Facts: Grades 3 and Above

Multiplication A Products within 100

(70 items)

4 × 2

5 5 × 2

7 7 × 3

2 × 6

6 × 2

3 × 4

7 × 9

5 × 0

2 × 9

6 × 4

9 × 8

7 × 6

5 × 5

3 × 7

4 × 8

6 × 7

7 × 7

4 × 9

9 × 3

5 × 3

8 × 7

4 × 3

7 × 2

5 × 8

2 × 3

9 × 4

2 × 5

6 × 5

5 × 4

3 × 9

7 × 1

8 × 9

9 × 1

7 × 5

4 × 4

6 × 6

4 × 6

4 × 5

6 × 8

3 × 8

2 × 2

9 × 5

7 × 4

3 × 5

3 × 6

8 × 8

8 × 5

8 × 3

6 × 9

9 × 7

9 × 6

5 × 6

6 × 3

2 × 1

7 × 8

9 × 2

8 × 4

3 × 2

4 × 7

8 ×2

8 ×6

4 × 1

3 × 1

2 × 7

2 × 8

2 × 4

9 × 9

5 × 9

5 × 7

3 × 3

Name__________________________________ Date____________


Division A Dividends within 100

(70 items)

366

549

728

355

357

77

102

819

255

366

204

62

84

22

455

426

287

639

486

126

105

189

82

648

122

123

546

729

162

497

88

217

273

186

81

62

244

155

142

99

243

324

66

459

306

328

147

364

637

124

205

248

164

183

405

182

168

427

123

488

426

455

22

84

62

204

126

486

639

287

Name__________________________________ Date____________


Multiplication B Products within 100

(70 items)

8 × 7

4 × 3

7 × 2

5 × 8

2 × 3

9 × 4

2 × 5

6 × 5

5 × 4

3 × 9

8 × 6

4 × 1

3 × 1

2 × 7

2 × 8

2 × 4

9 × 9

5 × 9

5 × 7

3 × 3

2 × 2

9 × 5

7 × 4

3 × 5

3 × 6

8 × 8

8 × 5

8 × 3

6 × 9

9 × 7

9 × 6

5 × 6

6 × 3

2 × 1

7 × 8

9 × 2

8 × 4

3 × 2

4 × 7

8 ×2

9 × 8

7 × 6

5 × 5

3 × 7

4 × 8

6 × 7

7 × 7

4 × 9

9 × 3

5 × 3

4 × 2

5× 2

7× 3

2 × 6

6 × 2

3 × 4

7 × 9

5 × 0

2 × 9

6 × 4

7 × 1

8 × 9

9 × 1

7 × 5

4 × 4

6 × 6

4 × 6

4 × 5

6 × 8

3 × 8

Name__________________________________ Date____________

Copyright © Swun Math Beyond the Basic Facts: Grades 3 and Above

Multiplication & Division Fluency Check (9s and below) Directions: Solve. Find products and quotients from memory or apply strategies.

5 × 5 = _______ 45 ÷ 9 = _______ 9 × 1 = _______

36 ÷ 4 = _______ 3 × 9 = _______ 5 ÷ 1 = _______

4 × 3 = _______ 8 × 2 = _______ 72 ÷ 9 = _______

8 ÷ 4 = _______ 48 ÷ 8 = _______ 9 × 3 = _______

36 ÷ 9 = _______ 6 × 5 = _______ 6 × 2 = _______

3 × 3 = _______ 42 ÷ 7 = _______ 72 ÷ 8 = _______

2 × 7 = _______ 5 × 4 = _______ 9 ÷ 9 = _______

45 ÷ 5 = _______ 3 × 7 = _______ 54 ÷ 6 = _______

56 ÷ 7 = _______ 9 × 2 = _______ 7 × 8 = _______

8 × 8 = _______ 49 ÷ 7 = _______ 18 ÷ 9 = _______

36 ÷ 6 = _______ 7 × 9 = _______ 20 ÷ 5 = _______

6 ÷ 3 = _______ 9 × 9 = _______ 4 ÷ 4 = _______

9 × 7 = _______ 24 ÷ 3 = _______ 2 × 5 = _______

54 ÷ 9 = _______

Documents

Grade 5 Units 7 & 8 Week 7 · division of a unit fraction by a whole number. Solve and create word division of a whole number by a unit fraction. Solve and create division word problems