TABLE OF CONTENTS. Real-World Math Word Problems. Target. Accelerate Mastery for Common Core Success! Real-World Math Word Problems

(1)

Levels

1-6

(2)

LEVEL 2

PAGE 8

TargetSadlier SchoolReal-World Math Word Problems

Prepare for Common Core Assessments

Sadlier School

Accelerate Mastery for Common Core

Success!

Provide models and diagrams to build understanding Reinforce math problem solving skills Encourage critical thinking skills with challenging word problems Available for Levels/Grades 1-8

Sadlier School For more information visit: SadlierSchool.com Phone: 877-930-3336 E-mail: [email protected]

Accelerate Mastery for Common Core Success!

· Ideal for use in the classroom or at home

· Online resources for blended learning

· Flexible design for use with any core program Support Common Core instruction with the Let’s Target series!

Real-World Math Word Problems

ISBN 978-1-4217-4802-3

9 781421 748023 9 0 0 0 0 Math

Problem Solving Vocabulary Acquisition Vocabulary

and Usage Grammar Comprehension

LEVEL 4

PAGE 20

TargetSadlier School

Sadlier School

Success!

I S B N 978-1-4217-4804-7

9 7 8 1 4 2 1 7 4 8 0 4 7 9 0 0 0 0 Math

Real-World Math Word Problems

LEVEL 6

PAGE 32

LEVEL 1

PAGE 2

TargetSadlier School

Sadlier School

Success!

ISBN 978-1-4217-4801-6

9 781421 748016 9 0 0 0 0 Math

Real-World Math Word Problems

LEVEL 3

PAGE 14

TargetSadlier SchoolReal-World Math Word Problems

Sadlier School

Success!

ISBN 978-1-4217-4803-0

9 781421 748030 9 0 0 0 0 Math

LEVEL 5

PAGE 26

Sadlier SchoolReal-World Math Word ProblemsTarget

Prepare for Common Core

Assessments

Sadlier School

Success!

ISBN 978-1-4217-4805-4

9 781421 748054 9 0 0 0 0 Math

Sadlier SchoolReal-World Math Word ProblemsTarget Prepare for Common Core

Assessments

Sadlier School

Success!

ISBN 978-1-4217-4806-1

9 781421 748061 9 0 0 0 0 Math

PREFACE

^{PAGE 1}

(3)

Learn more about each Let’s Target program:

• Grammar offers opportunities to apply, practice, and become proficient in the conventions of standard English.

• Comprehension provides opportunities for students to closely read a range of complex text and apply comprehension strategies across different content-area topics.

• Vocabulary Acquisition helps students build basic and high-utility vocabulary and acquire strategies for learning new vocabulary words.

• Vocabulary and Usage helps students develop vocabulary and move from generalizing and applying it to full vocabulary knowledge and productive use.

• Math Problem Solving aids students in developing mathematical thinking skills and deepening their understanding of numbers and mathematical concepts.

• Real-World Math Word Problems focuses on operations and algebraic thinking and offers math word problems covering real-world concepts.

New!

Build struggling students’ proficiency in English Language Arts and Math with the Let’s Target series, providing focused opportunities for all students to sharpen skills addressed in the new state assessments.

Let’s Target is perfect for test prep, homework, or summer learning—and ideal for English Language Learners, too!

All six Let’s Target programs include:

• Student Editions with a variety of instructional activities that enable students to strengthen and apply skills

• Online Resources to reinforce skill development through blended learning

• Teacher’s Guides that include implementation guidance and Common Core connections to support teachers as they address students’

instructional needs with practice opportunities

Grades/Levels 1–8

(4)

TargetSadlier School

Prepare for

Common Core Assessments

Sadlier School

Accelerate Mastery for Common Core

Success!

Provide models and diagrams to build understanding

Reinforce math problem solving skills

Encourage critical thinking skills with challenging word problems

Available for Levels/Grades 1-8

Sadlier School

For more information visit: SadlierSchool.com Phone: 877-930-3336

E-mail: [email protected]

Accelerate Mastery for Common Core Success!

· Ideal for use in the classroom or at home

· Online resources for blended learning

· Flexible design for use with any core program

Support Common Core instruction with the Let’s Target series!

Real-World Math Word Problems

ISBN 978-1-4217-4801-6

9 781421 748016

9 0 0 0 0

Math

Problem Solving Vocabulary

Acquisition Vocabulary

Real-World Math Word Problems

(5)

Table of Contents Table of Contents

Sadlier School

Problem

Number Topic Page

Number

Notes (i) – (ii)

1 ~ 12 Addition within 100 1

13 ~ 26 Subtraction within 100 7

27 ~ 86 Addition and Subtraction within 100 14 86 ~ 97 Higher-Order Questions in Real-World Situations 43 2-part Word Problems

98 ~ 101 Addition and Subtraction within 100 49

Solution Guide 1 ~ 101 ... S1 ~ S51

NOTE:

The solution Guide provides partially stepped out solutions. This step-by-step support will assist students as they solve these real world math word problems. The Guide will also support parents taking an active role in their child's learning, classroom teachers, summer program and after school teachers.

LT RW Maths WP L1.indb 2 5/8/2014 4:02:19 PM

(6)

Solve the problem. Use pictures, numbers, and words to explain.

Sadlier School

Problem Problem

5

Alice has a stamp album. She puts 6 stamps on the first page.

There are 3 more stamps on the second page than on the first page. How many stamps does she have altogether?

She has stamps altogether.

A florist has 2 vases. She puts 9 flowers in the first vase. She puts 4 fewer flowers in the second vase than in the first vase. How many flowers are there in the 2 vases altogether?

There are flowers in the 2 vases altogether.

29

30

(7)

Sadlier School

Problem Problem

44

87

88 Two chairs and a table cost $50. A chair costs $8. What is the cost of the table?

The cost of the table is $ .

A stem of roses costs $5. A florist sells 3 stems of roses and some stems of orchids. She collects $27. How much money does she collect from selling the orchids?

She collects $ from selling the orchids.

(8)

Sadlier School

Problem Problem

50

A plate costs $8 more than a bowl. If the plate costs $23, (a) how much does the bowl cost?

(b) what is the total cost of the plate and the bowl?

(a) The bowl costs $ .

(b) The total cost of the plate and the bowl is $ . Mr. Adams spends $70 on a belt and saves the rest of his money.

If he saves $12,

(a) how much more does he spend than save?

(b) how much money does he have at first?

(a) He spends $ more than he saves.

(b) He has $ at first.

00 99

(9)

Solution to Problem

Solution to Problem Solution to Problem Solution to Problem

Let’s Target Real-World Math Word Problems Level 1

Sadlier School S5

Step 1 : Use ‘counting on’ method to find the number of stamps on the second page of the stamp album

+ =

Step 2 : Use number bonds to find the total number of stamps in the stamp album

+

+ = + = + =

She has stamps altogether.

Step 1 : Use number bonds to find the number of flowers in the second vase

– =

Step 2 : Use number bonds to find the total number of flowers in the 2 vases

+

+ = + = + =

There are flowers in the 2 vases altogether.

29 30

(10)

TargetSadlier SchoolReal-World Math Word Problems

Prepare for

Common Core Assessments

Sadlier School

Accelerate Mastery for Common Core

Success!

Provide models and diagrams to build understanding

Reinforce math problem solving skills

Encourage critical thinking skills with challenging word problems

Available for Levels/Grades 1-8

Sadlier School

Accelerate Mastery for Common Core Success!

· Ideal for use in the classroom or at home

· Online resources for blended learning

· Flexible design for use with any core program

Support Common Core instruction with the Let’s Target series!

Real-World Math Word Problems

ISBN 978-1-4217-4802-3

9 781421 748023

9 0 0 0 0

Math

(11)

Table of Contents Table of Contents

Problem

Number

1 ~ 5 Addition within 1000 1

6 ~ 8 Subtraction within 1000 3

9 ~ 53 Word Problems (Involving 2 operations) 5

54 ~ 55 Length 27

56 ~ 61 Addition and Subtraction of Whole Numbers

– Introducing other units of measure 28

62 ~ 64 Fractions 31

65 ~ 95 Money 33

96 ~ 98 Higher-Order Questions in Real-World Situations 48

99 ~ 101 2-part Word Problems 50

Sadlier School

NOTE:

LT RW Math WP L2.indb 2 5/8/2014 3:21:53 PM

(12)

0

Sadlier School

Problem Problem Problem Problem

Tom had 35 stickers. Jack had 120 more stickers than him and Jill had 48 fewer stickers than Jack. How many stickers did they have altogether?

They had stickers altogether.

Jerry bought 6 boxes of balloons. There were 5 balloons in each box. He gave 4 balloons to his brother. How many balloons were left?

balloons were left.

9

20

(13)

42

Sadlier School

Problem Problem Problem Problem

A bag of 3 pears costs $2 and a bag of 5 apples costs $3. How much would it cost to buy 9 pears and 15 apples?

It would cost $ to buy 9 pears and 15 apples.

83

84 2 pairs of socks cost $4. A scarf costs $13 more than 2 pairs of socks. If Sally had $10 left after buying 2 pairs of socks and a scarf, how much did she have at first?

She had $ at first.

(14)

50

Sadlier School

Problem Problem Problem Problem

Ann and Jack had some stamps. Ann gave Jack 18 stamps and he used 6 stamps. Each of them then had 32 stamps left.

(a) How many stamps did Ann have at first?

(b) How many stamps did Jack have at first?

(a) Ann had stamps at first.

(b) Jack had stamps at first.

99

00 Mrs. Jackson had some eggs and packed them into boxes of 5 each. She sold 8 such boxes and had 6 boxes left.

(a) How many eggs were left?

(b) How many eggs did she have at first?

(a) eggs were left.

(b) Mrs. Jackson had eggs at first.

(15)

Sadlier School Let’s Target Real-World Math Word Problems Level 2 S0

Solution to Problem

Solution to Problem 9 Solution to Problem Solution to Problem 20

Step 1 : Draw a model

? Tom

Jack

Jill

Step 2 : Use ‘adding without regrouping’

method to find the number of stickers Jack had

+ = ₊

Step 3 : Use ‘subtracting with regrouping’ method to find the number of stickers Jill had

– =

–

Step 4 : Use ‘adding with regrouping’

method to find the number of stickers they had

+ =

+

+ =

₊

They had stickers altogether.

Step 1 : Use repeated addition to find the total number of balloons

+ + + + +

=

Step 2 : Use mental calculation to find the number of balloons left

– =

balloons were left.

(16)

TargetSadlier SchoolReal-World Math Word Problems

Prepare for

Common Core Assessments

Sadlier School

Accelerate Mastery for Common Core

Success!

Provide models and diagrams to build understanding

Reinforce math problem solving skills

Encourage critical thinking skills with challenging word problems

Available for Levels/Grades 1-8

Sadlier School

Accelerate Mastery for Common Core Success!

· Ideal for use in the classroom or at home

· Online resources for blended learning

· Flexible design for use with any core program

Support Common Core instruction with the Let’s Target series!

Real-World Math Word Problems

ISBN 978-1-4217-4803-0

9 781421 748030

9 0 0 0 0

Math

(17)

Problem

Number

1 ~ 63 The Four Operations of Whole Numbers 1

70 ~ 73 Length 35

74 ~ 78 Mass 37

79 ~ 82 Volume 40

83 ~ 86 Time 42

87 ~ 96 Area and Perimeter 44

2-Part Word Problems

Sadlier School

Table of Contents Table of Contents

NOTE:

LT RW Maths L3.indb 2 5/9/2014 12:43:13 PM

(18)

Sadlier School

Problem Problem

7

Zoe had twice as many pens as Malcolm. They had a total of 18 pens.

How many pens must Zoe give to Malcolm so that they would have the same number of pens?

Answer:

Mr. Donald had 210 apples and 220 pears. He sold some apples and pears and had 130 pieces of fruit left. How many pieces of fruit did he sell?

Answer:

33

34

(19)

Sadlier School

Problem Problem

42

Marcus finished his lunch at 1:30 p.m. He started 45 minutes ago.

What time did he start to have his lunch?

Answer:

Mabel went for a jog last evening. She started jogging from her home at 6:40 p.m. and returned home 1 hour and 15 minutes later. What time did she return home?

Answer:

83

84

(20)

Sadlier School

Problem Problem

5

24 children were grouped into 3 teams. If there were 3 times as many boys as girls in each team,

(a) how many girls were there altogether?

(b) how many boys were there altogether?

Answers: (a) (b)

After Jeffrey had given 9 granola bars to Adeline, she had 27 granola bars and he had 14 granola bars.

(a) How many granola bars did Jeffrey have at first?

(b) How many more granola bars did Jeffrey have than Adeline at first?

Answers: (a) (b)

97

98

(21)

Sadlier School Let’s Target Real-World Math Word Problems Level 3

Solution to Problem

Solution to Problem Solution to Problem Solution to Problem

S7

Step 1 : Draw a model and find the number of pens Malcolm had

Zoe Malcolm

÷ =

Step 2 : Find the number of pens each of them should have in order to have the same number of pens

÷ =

Step 3 : Find the number of pens Zoe must give to Malcolm

– =

Zoe must give pens to Malcolm so that they would have the same number of pens.

Answer: pens

33

Step 1 : Find the total number of pieces of fruit + =

+

Step 2 : Find the number of pieces of fruit sold – =

–

He sold pieces of fruit.

Answer: fruit

34

LT RW Maths L3.indb 17 5/14/2014 9:53:19 AM

(22)

TargetSadlier School

Prepare for

Common Core Assessments

Sadlier School

Accelerate Mastery for Common Core

Success!

Provide models and diagrams to build understanding

Reinforce math problem solving skills

Encourage critical thinking skills with challenging word problems

Available for Levels/Grades 1-8

Sadlier School

Accelerate Mastery for Common Core Success!

· Ideal for use in the classroom or at home

· Online resources for blended learning

· Flexible design for use with any core program

Support Common Core instruction with the Let’s Target series!

Real-World Math Word Problems

I S B N 978-1-4217-4804-7

9 7 8 1 4 2 1 7 4 8 0 4 7

9 0 0 0 0

Math

Real-World Math Word Problems

(23)

Table of Contents Table of Contents

Problem

Number

1 ~ 9 The Four Operations with Whole Numbers 1

10 ~ 48 Fractions 5

49 ~ 66 Money 25

67 ~ 70 Mass 34

2-part Word Problems

79 ~ 80 The Four Operations with Whole Numbers 41

96 ~ 99 Money 57

NOTE:

Let's Target Real World Math Wor2 2 12/12/2013 10:44:24 AM

(24)

3

Problem Problem

Jennifer had a party. She wanted to give an equal number of balloons to her six friends. If one of her friends did not attend the party, the rest would be able to receive another 2 balloons each. How many balloons did Jennifer have?

Anna had three times as many beads as Zoe. They had 480 beads altogether. Mrs. Taylor gave an equal number of beads to each of them. Zoe then had half the number of beads that Anna had. How many beads did Mrs. Taylor give them?

5

6

(25)

4

Problem Problem

Mr. Richard is five times as old as his son now. In 8 years’ time, their total ages will be 58 years.

(a) What is his son’s present age?

(b) How old will Mr. Richard be in 8 years’ time?

79

Jane and Mark had $240 altogether. When Jane gave Mark half of her money, Mark had four times as much money as Jane.

(a) How much did Jane have at first?

(b) How much did Mark have at first?

80

(26)

57

Problem

Five apples cost as much as two papayas. Mrs. Lynch could buy 18 papayas. If she had bought 12 papayas, she would have $30 left.

(a) How much did each papaya cost?

(b) How much would three apples and three papayas cost?

96

(27)

S3

Solution to Problem

Solution to Problem Solution to Problem Solution to Problem

Let’s Target Real-World Math Word Problems Level 4 S3

Sadlier School

5 6

6 friends

?

given out if 1 friend did not turn up

Step 2 : Find the number of balloons that would be given out if friend did not turn up

× =

Step 3 : Find the number of balloons that Jennifer had

× =

Jennifer had balloons.

Answer: balloons

Before Anna Zoe

After Anna

Zoe

?

Step 2 : Find the number of beads Zoe had units 

unit  ÷ =

Step 3 : Find the total number of beads that Mrs. Taylor gave them

(*From the model, Anna has units more than Zoe even after receiving the same number of beads from Mrs. Taylor.)

units  × =

Mrs. Taylor gave them beads.

Answer: beads

(28)

Sadlier SchoolReal-World Math Word Problems

Tar get

Prepare for

Common Core Assessments

Sadlier School

Accelerate Mastery for Common Core

Success!

Provide models and diagrams to build understanding

Reinforce math problem solving skills

Encourage critical thinking skills with challenging word problems

Available for Levels/Grades 1-8

Sadlier School

Accelerate Mastery for Common Core Success!

· Ideal for use in the classroom or at home

· Online resources for blended learning

· Flexible design for use with any core program

Support Common Core instruction with the Let’s Target series!

Real-World Math Word Problems

ISBN 978-1-4217-4805-4

9 781421 748054

9 0 0 0 0

Math

(29)

Table of Contents Table of Contents

Sadlier School

Problem

Number

1 ~ 34 The Four Operations of Whole Numbers and

Fractions 1

35 ~ 45 Measurement: Volume 26

46 ~ 65 Measurement: Review 37

66 ~ 69 Geometry 57

70 ~ 101 2-part Word Problems 61

NOTE:

2 Pre&Cont_LT RW Math WP L5.indd2 2 5/12/2014 11:09:36 AM

(30)

Sadlier School

Question Question Problem Problem Problem Problem

2

A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10. She sells each orchid bouquet for $25 and each rose bouquet for $30.

She earns a total of $390. If she sells four times as many orchid bouquets as rose bouquets, how many flowers does she sell altogether?

Answer:

Ken and Ivan had some stickers. After Ken gave away __ 5 7 of his stickers, he had __ 2 3 as many stickers as Ivan. Ivan then gave away 120 stickers and he had __ 1 4 as many stickers as Ken. How many stickers did each of them have at first?

Answers: Ivan:

Ken:

3

4

(31)

Sadlier School

Question Question Problem Problem

75

Tom spent $1,650 in January, which was __ 2 5 of the salary he earned that month. He saved the rest of his salary. In February, his salary increased by

$825 and he saved $190 more in February than in January.

(a) How much did he save in February?

(b) How much did he spend in February?

Answers: (a) (b)

84

(32)

Sadlier School

Question Question Problem Problem

89

Andrew finished typing 8 similar sets of notes in 3 hours. If his typing speed increased to 60 words per minute, he would have finished typing the same sets of notes 2 hours faster.

(a) What was Andrew’s original typing speed?

(b) If he wanted to finish 10 such sets of notes in 2.5 hours, how fast would he have to type per minute?

Answers: (a) (b)

98

(33)

Sadlier School Let’s Target Real-World Math Word Problems Level 5

Solution to Problem

Solution to Problem Solution to Problem Solution to Problem

S48

Step 1 : Find the height of the tank full  cm

full  × cm = cm Step 2 : Find the length and width of the tank

Height Length

? cm

units  cm unit  cm ÷

= cm

units  × cm = cm

Length  cm Width  cm ÷

= cm Step 3 : Find the volume of the tank

cm × cm × cm = cm³

(a) The volume of the tank was cm³. Step 4 : Find the time for the tap to fill up the

tank

1 litre = 1000 cm

cm³ = litres

= minutes ≈ minutes (b) The tap will take about minutes to fill

up the tank completely.

Answers: (a) cm³ (b) minutes Step 1 : Find the total number of words in 8

similar sets of notes

hours – hours = hour

1 hour = 60 minutes

words × minutes = words Step 2 : Find Andrew’s original typing speed

3 hours = 180 minutes

÷ =

(a) Andrew’s original typing speed was words per minute.

Step 3 : Find the total number of words for 10 sets of notes

sets of notes  words set of notes  ÷

= words sets of notes  ×

= words

Step 4 : Find how fast Andrew had to type per minute

3 hours = 180 minutes 2.5 hours = 120 + 30 = 150 minutes

words ÷ minutes

= words/minutes

(b) He would have to type words per minute if he wanted to finish 10 sets of notes in 2.5 hours.

Answers: (a) words per minute (b) words per minute

98 99

(34)

Sadlier SchoolReal-World Math Word Problems

Tar get

Prepare for

Common Core Assessments

Sadlier School

Accelerate Mastery for Common Core

Success!

Provide models and diagrams to build understanding

Reinforce math problem solving skills

Encourage critical thinking skills with challenging word problems

Available for Levels/Grades 1-8

Sadlier School

Accelerate Mastery for Common Core Success!

· Ideal for use in the classroom or at home

· Online resources for blended learning

· Flexible design for use with any core program

Support Common Core instruction with the Let’s Target series!

Real-World Math Word Problems

ISBN 978-1-4217-4806-1

9 781421 748061

9 0 0 0 0

Math

(35)

Table of Contents Table of Contents

Sadlier School

Problem

Number

20 ~ 50 Measurement 20

63 ~ 77 Rate Reasoning and Proportional Relationship 63

78 ~ 88 Ratio 77

89 ~ 101 Percentage 88

NOTE:

2 Pre&Cont_LT RW Math WP L6.indd2 2 5/14/2014 9:07:30 AM

(36)

Sadlier School

Question Question Problem Problem

Angie had some red and blue beads. 40% of her beads were red. When she lost 50 blue beads, the number of blue beads was reduced by __ 1 3 its original number of beads. How many beads did Angie have in the end?

Answer:

(37)

Sadlier School

Question Question Problem Problem

A grocer sold 30% more apples than oranges and 10% more pears than oranges. He sold 104 apples. If apples were sold in bags of 4 for $6, pears were sold in bags of 8 for $10 and oranges were sold in bags of 2 for $3, how much did the grocer collect?

Answer:

(38)

Sadlier School

Question Question Problem Problem

Paul puts some beads in 3 jars, A, B and C. The ratio of the number of beads in jar A to jar B is 2 : 3. The ratio of the number of beads in jar B to jar C is 2 : 1. If Paul transfers an equal number of beads from jar B to jars A and C, he will have an equal number of beads in jars A and B and the total number of beads in jar C will increase to 297. Find the total number of beads in the three jars.

Answer:

(39)

Sadlier School Let’s Target Real-World Math Word Problems Level 6 S0

Solution to Problem

Solution to Problem Solution to Problem Solution to Problem

Step 1 : Form the ratio for the blue and red towels

blue : red :

: ^{× 2}

× 2

r r b b b b w w

?

r : red b : blue w : white

Step 3 : Find the number of towels sold – =

Step 4 : Find the number of red and white towels

r r b b b b w w

×

blue

(

^units

)

^{= red}

(

^units

)

red and white towels → ×

=

There were red and white towels at first.

Answer: red and white towels

Step 1 : Use the lowest common multiple of and to make the ratio of beads in jar B common

A : B : C

:

: :

× 2

× 3

Step 2 : Form the new ratio when B gives units to A and C

A : B : C

: :

+ 2 – 4 + 2

Step 3 : Find the total number of beads in the three jars

C: units →

unit → ÷

=

units → ×

=

The total number of beads in the three jars is .

Answer: beads

TABLE OF CONTENTS. Real-World Math Word Problems. Target. Accelerate Mastery for Common Core Success! Real-World Math Word Problems

Levels

1-6