How Tasty! EName _____ © Scott Foresman, Gr. 5 (419) Use with Chapter 12, Lesson 1. PROBLEM SOLVING...

Name _____________________________________________________________________________________________________

© Scott Foresman, Gr. 5 (419) Use with Chapter 12, Lesson 1.

P R O B L E MS O LV I N G

12-1EHow Tasty!

Tasty Brand Foods just tested three new breakfast cereals. Read these facts.

• 48 children tasted the cereals.

• !13! tried Munchy Krunchies.

• !12! of the children who tried MunchyKrunchies liked it.

• !14! tried Fruity Flakes.

• !56! of the children who tried Fruity Flakesliked it.

• !152! tried Toasty Oats.

• !34! of the children who tried Toasty Oats liked it.

1. What must you do to find and compare the number of children who liked a cereal withthe number who did not? Explain your method.

2. Now complete this report.

children tested Munchy Krunchies. liked Munchy Krunchies and did

not, so the ratio of those who liked the cereal to those who did not is to .

children tested Fruity Flakes. liked Fruity Flakes and did not. Children

who liked Fruity Flakes outnumbered those who did not by a ratio of to .

children tested Toasty Oats. liked Toasty Oats and did not. Children

who liked Toasty Oats outnumbered those who did not by a ratio of to .

Name _____________________________________________________________________________________________________


N U M B E RS E N S E

12-2EPathfinder

Begin in one of the squares marked Start. Draw a path to the squaremarked End by connecting the equivalent ratios. You can move in anydirection, including diagonally. Then try again from the other square markedStart.

6!12

Start Start

4!18

6!15

24!72

12!52

21!63

9!27

3!10

21!28

7!28

14!52

9!34

14!35

10!42

1!4

2!8

22!100

16!64

12!36

20!80

13!50

6!18

3!15

42!90

19!76

3!12

12!60

11!44

20!24

30!36

15!24

12!16

33!44

32!48

42!56

3!4

20!24

32!48

36!48

28!32

27!36

24!32

6!8

48!64

14!16

15!20

22!33

18!20

21!27

48!60

24!36

9!12

21!30

30!48

16!20

39!52

End

Name _____________________________________________________________________________________________________



12-3ERemodeling Ratios

Kenneth is remodeling several rooms in his house.

1. In the master bedroom, 30 inches of curtains are required for each 1 foot of window width. Two windows in the bedroom are 40 inches wide.

How wide should the curtains be for each window?

The picture window in the master bedroom requires 210 inches of curtain. How wide is the picture window?

2. The bathroom floor must be tiled. The floor measures 12 feet by 8 feet. The tiles for the floor are 8 inches on a side.

How many tiles are needed for the length of the floor?

How many tiles are needed for the width of the floor?

3. After the remodeling is finished, Kenneth wants to decorate the living room for a party. The living room is a rectangle measuring 30 feet by 14 feet. Kenneth will use 15 inches of crepe paper for each 12 inches of wall.

How much crepe paper is required to go around the room once? twice? three times?

40 in.

Name _____________________________________________________________________________________________________


R E A S O N I N G

12-4EIt’s a Pet’s Life

Five friends—Victor, Wendy, Xavier, Yvonne, and Zack—decided to have a pet show. Each friend has a different pet: a poodle, a collie, a cat, a goldfish, and a parakeet. The pets are named Jocko, King,Minnie, Pepper, and Skippy. Use the clues below to figure out whoowns each pet and what each pet’s name is. Write your answers in the table.

(Hint: You may wish to use two charts to organize the information from the clues.)

• Skippy is a dog.• Yvonne’s pet is not a dog or a goldfish.• Xavier’s pet can fly and sit on his shoulder.• Minnie likes to swim in her new bowl.• The poodle’s name is not Pepper.• Zack taught his dog to heel.• Jocko likes to meow at the parakeet.• Victor is trying to train Pepper not to bark at night.

Child’s Name Pet Pet’s Name

Victor

Wendy

Xavier

Yvonne

Zack

Name _____________________________________________________________________________________________________



12-5ECrafty Computation

To solve, use strategies you have learned.

Daryl is planning the school crafts fair. This chart shows what he needs for the fair and what those items will cost.

Item Cost per Unit

50 tables Rental fee: $5 per table

300 tickets Printing cost: $1 for 20 tickets

Clean-up crew—3 people for 1 hour Labor cost: $20 per hour for 1 person

1. How can Daryl figure out how much it will cost the school to hire the clean-up crew?

a. Multiply the price per hour for 1 person by the number of people in the crew.

b. Divide the price per hour by the number of people in the crew.

c. Add the number of people in the crew to the price for 1 person.

2. Which expression describes the total cost of printing up the tickets?

a. 300 ! $1 b. (300 " 20) ! $1 c. (300 # 20) ! $1

3. How can Daryl figure out what it will cost to hold the fair?

a. Find the total cost for tables, the total cost for tickets, and the total cost for theclean-up crew. Then add those totals.

b. Multiply the cost of tables by the number of tickets sold. Then add clean-up costs.

c. Add $5, $1, and $20. Then multiply by 500.

4. How much will it cost the school to put on the fair?

5. Daryl wants to divide the cost for the fair among the exhibitors. He has 50 exhibitors.How much should the school charge to rent 1 table in order to break even? Explain.

6. Daryl expects 300 people to attend the fair. Is this an exact number or an estimate?Explain.

7. There will be a pizza stand at the fair. Daryl plans to allow 2 slices for each person.Each pizza has 8 slices. Which of the following is a reasonable estimate for the number of pizzas he should order?

a. 8 pizzas b. 72 pizzas c. 300 pizzas

Name _____________________________________________________________________________________________________



12-6ECounting Cards

Answer the questions about the number cards below. (Hint: Notice that there is a different amount of numbers on each card.)

1. On Card A, what percent of the numbers have a zero in the ones place?

2. On Card B, what is the ratio comparing the numbers containing 6 as a digit to the total of numbers on the card?

3. On Card C, what is a fraction that shows how many numbers are evenly divisible by 3? Write the fraction in lowest terms.

4. On which two cards are 25% of the numbers 1-digit numbers?

5. On which card does the number 15 appear in 20% of the boxes?

6. On which card are 75% of the numbers odd numbers?

7 34 22 17 1543 51 18 20 3311 21 52 32 83 40 2 27 4441 24 48 50 2314 47 46 12 45

42 9 16 31 29

25 39 6 13 3038 26 35 28 4919 37 10 36 5

14636

55

84232

26

81579

19

15 18 48 718 21 12 57 60 15 246 82 21 645 15 12 1527 15 11 56

34 85 39 1545 37 8 3315 23 3 2

A B

D

C

Name _____________________________________________________________________________________________________



12-7EAdd It Up

Use each of the digits 1, 2, 3, 4, 5, 6, and 7 once to make four numbersthat, when added, equal 100. Three examples have been done for you.

13 ! 24 ! 56 ! 7 " 100

23 ! 16 ! 54 ! 7 " 100

14 ! 23 ! 57 ! 6 " 100

! ! ! " 100

! ! ! " 100

! ! ! " 100

! ! ! " 100

! ! ! " 100

! ! ! " 100

! ! ! " 100

! ! ! " 100

! ! ! " 100

! ! ! " 100

! ! ! " 100

1. What can you say about the sum of the ones in each solution?

2. What can you say about the sum of the tens in each solution?

Use your answers to 1 and 2 to help you extend your solution chart.

Name _____________________________________________________________________________________________________


R E A S O N I N G

12-8ETipping the Scales

In each problem, look at the scales and try to figure out a weight foreach shape that makes all the scales correct. For problem 2, try to findseveral correct answers.

Hint: Use the guess-and-test method.

Create a scales problem like one of those above. Use at least fourshapes and three scales in your problem. Give your problem to a classmate to solve.

1. 2.

! !

! ! !!

!!

Name _____________________________________________________________________________________________________


12-9EParty Puzzlers

Solve by making a table or using other strategies you have learned.

1. Lynne is ordering balloons for a party. Big balloons cost $2, medium balloons cost $1,and small balloons cost $0.50. She wants as many big balloons as possible, and atleast one of the other two kinds of balloons. She can spend $10.

Make a table to show the possibilities.

2. How many of each balloon should Lynne order?

3. One morning Lynne spent 30 minutes planning games for the party, 45 minuteswriting invitations, 15 minutes calling other members of the planning committee, and25 minutes making decorations. She finished these tasks at noon. If she performed allof these tasks without stopping to do anything else, what time did she start?

4. Some friends practiced a game for the party. They walked forward 8 paces and back 3paces. If they continue this pattern, how many paces must they walk forward to reachthe finish line that is 24 paces away?

5. Lynne made 39 origami party favors. She made twice as many cranes as owls. Howmany of each kind of origami bird did she make?


Name


PAT T E R N S

12-10EPrime Time

You know that a prime number is a number that is divisible only by itself and 1. This list contains all the prime numbers between 1 and 100, but there are six numbers on the list that are not prime numbers. Cross out the numbers that do not belong. Then you’ll have a prime number list to work with.

2 3 5 7 11 13 17 19 2329 31 37 39 41 43 47 5153 57 59 61 67 71 73 79 81 83 87 89 91 97

Mathematicians have found this interesting prime number pattern:Every even number greater than 2 can be shown as the sum of two prime numbers. Here are some examples:

4 ! 2 " 2 or 1 " 328 ! 17 " 1134 ! 31 " 3

Mathematicians have also found this prime number pattern: Every odd number greater than 5 can be shown as the sum of three prime numbers. Here are some examples:

7 ! 3 " 2 " 221 ! 11 " 5 " 549 ! 19 " 17 " 13

A. Write each of the following numbers as the sum of two prime numbers.Use your prime number list to help you.

1. 78 2. 102 3. 20

4. 150 ___________ 5. 46 ___________ 6. 88 ___________

B. Write each of the following numbers as the sum of three prime numbers.

7. 51 _________________ 8. 87 _________________ 9. 125 ________________

10. 99 _________________ 11. 15 _________________ 12. 63 _________________

Name


D E C I S I O NM A K I N G

12-11EMake a Move

The game shown below is 5-in-a-Row. Two players take turns writing X’sand O’s in the spaces on a grid. The first player to mark 5 spaces in a row with his or her mark wins. A row can go across, down, or diagonally. Right now, several playing boards show that one player has marked 3 in a row. What should the fourth move be? Answer each question by giving the row number and column letter. (Hint: Remember, when you choose a fourth move, the opposing player will try to block the most likely fifth move. So think of a fourth move that will give two choices for a fifth move.)

1. 2.

What is player O’s best move? Why? What is player X’s best move? Why?

3. 4.

What is player O’s best move? Why? Use this grid to play 5-in-a-Row with a friend.

5. Explain why C5 is not a good answer for Exercise 1.

X

X XXO

OO O

X OXO X O

12345678

A B C D E F G H

X

XXO

O

OOOX

X

XO

X O

12345678

A B C D E F G H12345678

A B C D E F G H

O

OX O

XX XX O O

12345678

A B C D E F G H

Name _____________________________________________________________________________________________________



12-12EProbably a Big Day

Midori and Chad are helping their teacher think of things to celebrate in April. Use the information below for Exercises 1–8. You candraw calendars to help you.

April 1, 1778 The dollar sign was created for the new system of money in the United States.

April 3, 1860 The Pony Express postal service began.April 5, 1971 Fran Phipps became the first woman to reach the North Pole.April 10, 1872 Arbor Day was celebrated in the United States for the first time.April 14, 1828 The first American dictionary was published by Noah Webster.

1. What is the probability that the first Pony Express riders in 1860 rode out on a

Monday?

2. What is the probability the first American dictionary was published on a day of the

week that begins with T?

3. In 1872, April began on a Monday. On what day of the week was the first Arbor Day

celebrated?

4. One of Midori and Chad’s classmates has a birthday in April. What is the probability

that the birthday falls on one of the special days above?

5. Chad figures out that a person has a 1 in 12 chance of being born in a particularmonth. But Midori disagrees. She says that there is a greater chance of having abirthday in October than in February. Finish her probability:

The probability of someone’s having a birthday in October is in 365.

6. What is the probability that someone will have a birthday in February of a non-leap year?

7. Is the probability of having a birthday in February greater than or less than 1 in 12?

8. Explain how you got your answer in Exercise 7.

Name


D ATA

12-13EWhere Are the Wolves?

Status of Wolves in the United States

States That May Soon States With Wolves Release Wolves

Alaska Maine

Minnesota New York

Wisconsin New Mexico

Montana Arizona

Idaho

Wyoming

North Carolina

Tennessee

Michigan

Use the table to solve Problems 1—2.

1. If wolves are released in all thestates shown in the table, how manystates will have wolves?

2. Make a circle graph to show thepercent of the 50 states that:• Have No Wolves• Have Wolves• May Soon Have Wolves

(Hint: Think of a rounded percent,such as 10%, 20%, 25%, or 50%,to help you figure out how large tomake each section.)

3. Mr. Kim has a permit to raise wolvesfor educational purposes. His planfor a wolf pen is shown below. The shaded area represents the pen.How many square feet will it occupy?

Wolf Demonstration Price List

Children Under 3 Free

Students 4–11 Years $3.25

Adults $5.75

Wolf Pen

40 ft

30 ft

5 ft

20

ft

!"#

4. Mr. Kim charges the prices shownfor his wolf demonstrations. Howmuch would it cost a class of 24eleven-year-olds, 1 teacher, and 2parents to attend?

How Tasty! EName _____ © Scott Foresman, Gr. 5 (419) Use with Chapter 12, Lesson 1. PROBLEM SOLVING...

Documents

Transcript of How Tasty! EName _____ © Scott Foresman, Gr. 5 (419) Use with Chapter 12, Lesson 1. PROBLEM SOLVING...