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What Is the Title? TO FIND THE TITLE OF THIS PICTURE: Do each exercise below and find your answer in the code. Each time the answer appears, write the lener of the exercise above it. CODED TITLE: 21 6. 315. 7542 16. 6 70 215 15 15. 75 ~2T ~^5 1^75 ~96~ 65^6"-l^ 15 70 16. 6 9017. 256. 3 64 21 200 100 ~90~ ~6^~ ~7Q T5?75 -96~ ~230 I. Find the perimeter of each figure. ^OJ Triangle with sides of 8. 2 cm, 3. 9 cm, and 4. 5 cm cm Square with sides of 16. 4 m m Parallelogram with sides of 40 cm and 75 cm cm AJ Regular decagon with sides of 0. 63 km km BJ Rectangle with sides of 22 in. and 28 in. Equilateral triangle with sides of 5. 25 ft HJ Regular hexagon with sides of 2. 75 in. U) Rhombus with sides of 50 ft in. ft in. ft i, II. Solve. The width of a large American flag is 8 ft. Its length is 5 ft more than its width. Find its perimeter, ft The perimeter of a square window is 360 cm. Find the length of one side. cm A pennant is shaped like an isosceles triangle. The short side is 14 in. long and is half the length of each longer side. Find the perimeter of the pennant. in. N} The width of a rectangular poster is 16 in. Its length is twice its width. Find its perimeter, in. FJ The perimeter of a triangle is 38 ft. One side is 14 ft long. Another side is 9 ft long. How long is the third side? ft \S) The longest side of a triangular sail is 9 m long. The second side is 1. 5 m shorter than the longest side. The third side is half the length of the longest side. What is the perimeter? m MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D © Creative Publications D-47 TOPIC 4-a: Perimeter
Transcript

What Isthe Title?

TO FIND THE TITLE OF THISPICTURE:

Do each exercise below and find youranswer in the code. Each time theanswer appears, write the lener of theexercise above it.

CODED TITLE:

21 6.315.7542 16.6 70 215 15 15. 75 ~2T ~^5 1^75 ~96~ 65^6"-l^

15 70 16. 6 9017. 256. 3 64 21 200 100 ~90~ ~6^~ ~7Q T5?75 -96~ ~230

I. Find the perimeter of each figure.

^OJ Triangle with sides of 8.2 cm,3.9 cm, and 4. 5 cm cm

Square with sides of 16.4 m m

Parallelogram with sides of40 cm and 75 cm cm

AJ Regular decagon with sidesof 0.63 km km

BJ Rectangle with sides of 22 in.and 28 in.

Equilateral triangle with sidesof 5.25 ft

HJ Regular hexagon with sidesof 2.75 in.

U) Rhombus with sides of 50 ft

in.

ft

in.

ft

i,

II. Solve.

The width of a large American flag is 8 ft.Its length is 5 ft more than its width. Findits perimeter, ft

The perimeter of a square window is360 cm. Find the length of one side.

cm

A pennant is shaped like an isoscelestriangle. The short side is 14 in. long andis half the length of each longer side. Findthe perimeter of the pennant.

in.

N} The width of a rectangular poster is 16 in.Its length is twice its width. Find itsperimeter, in.

FJ The perimeter of a triangle is 38 ft. Oneside is 14 ft long. Another side is 9 ft long.How long is the third side? ft

\S) The longest side of a triangular sail is 9 mlong. The second side is 1. 5 m shorterthan the longest side. The third side is halfthe length of the longest side. What is theperimeter? m

MIDDLE SCHOOL MATH WITH PIZZAZZ! BOOK D© Creative Publications D-47 TOPIC 4-a: Perimeter

Why Did the Piano Player Bang HerHead Against the Keyboard?

Find the circumference (C) of each circle, given the diameter (d) or radius (r). Use3. 14 for K. Draw a straight line connecting the square by the exercise to the squareby its answer. The line will cross a number and a letter. Write the letter in thematching numbered box at the bottom of the page.

rl) d--

^ d--

3) d

®d.'5') d:

6) d

Qd,8) d-

9) d--

C10) r--

(11) r--

(12) r:

(13) r--

(14) r:

(15) r--

[16) r--

C17) r--

C18) r--

3 cm .

Sin. .

7 cm .

40 in. .

9.2 cm .

1.5 in. .

600 m .

23 in. .

10cm .

1 in. .

6cm .

15 in. .

2.2cm .

48 in. .

3.9cm .

2.5 in. .

2. 5cm .

50m .

®

^0 (s^

y

. c-

. C-.

. c-

. c:

. c.

. c

. c.

. c.

. c:

. c.

. c:

. c.

. c

. c

. c

. c

. c

. c

125.6 in.

31. 4cm

94. 2 in.

9.42 cm

72.22 in.

301. 44 in.

25. 12 in.

15. 7 in.

28. 888 cm

13.816cm

15.7cm

21.98 cm

6.28 in.

314m

: 4.71 in.

37.68 cm

24.492 cm

1,884 m

'^.

"yft.i.^'

/<?'TP;.

.f

TOPIC 4-b: Circumference

MIDDLE SCHOOL MATH WITH PIZ2AZZ! BOOK D© Creative Publications

THePe?ky^feiqhhorMrs. Petrosky was a friendlyperson, who usually enjoyed thecompany of friends andneighbors. She would have friends in Ifor meals, playing cards, or just to watch a video. Her seven-year-old son Jason was just as friendly. Every day after school he would have some ofhis friends come over to play in his backyard or in his room, which was loaded with Legos, videogames/ action figures, and puzzles. It was a child's paradise, and all the neighborhood kids lovedto play with Jason.

One day a new neighbor moved in next door. Mrs. Petrosky was quick to invite the family over fora cookout. They had hot dogs, macaroni salad, and potato chips. The new neighbors, theWaIters,had a four. year.old son named Patrick. "Mrs. Petrosky/' said Patrick, "you make the best hot dogsin the world. " Patrick had a cute impish face, with carrot red hair and blue-green eyes. Mrs.Petrosky liked him instantly even though he was a little young for her son Jason to play with. Inthe next few weeks Patrick kept showing up on Mrs. Petrosky's doorstep asking for water, to usethe bathroom/ or if she could spare a cookie. At first Mrs. Petrosky went along with Patrick'srequests, but it soon became more than a little annoying-especially, when he kept asking to playin Jason's room, even though Jason was at school.

It got so bad that Mrs. Petrosky tried to avoid Patrick by not answering the door when heknocked. Patrick would then ring the doorbell in such an annoying way and for such a long timethat Mrs. Petrosky would have to go out and ask him to go home. That only worked for a shorttime and Patrick would be back.

Eventually/ Patrick started coming over and looking in the windows to see if Mrs. Petrosky washome. In the kitchen, where Mrs. Petrosky had ruffled curtains along the bottom of the window,Jason would jump up again and again to see if he could spot Mrs. Petrosky. It would have beencomical if it had not been so irritating. He looked just like an excited little Chihuahua yelping toget in. This had to stop. Mrs. Petrosky decided to make bottom curtains for the whole house thatwould reach as high as the kitchen curtains with another four inches to keep Patrick from seeingin when he jumped.

She made the curtains and it worked for a few days. "At last, I'll be in peace/' smirked Mrs.Petrosky, until she noticed Patrick running through her yard with a small wooden footstool inhand.

© Instructional Fair . TS Denison IF87001 57 Great Math Stories ;

^1. Mrs. Retros. ky was having s cookout an^l she had mvited all the

neighbors. She had I/o figure out how many packages of hot dc^s an^bune to bu^. If we figure 2 ho1^ ̂ lo^s for each person and there are 17people, how many packages of hot ̂ logs anJ buns should she buy?

Remember, hot dogs come in packages of10, and buns come in packages. of &.

2. If hot do^s cost $1. 8>9 per package an^l buiis cost $.99 per package,what will the total cost of Mrs. Petrosky's purchases be?If the buns are on sale for $.20off^he original price, an^ Mrs. Petroskyuses a coupon for $.25 off each package of hot do^s, how much will shespend now?

5. Patrick tflumpe^l one of Jason's favorite 500-piece puzzles on the floor.Mrs. Ffetrosky aske^ him nicely to pick it up, but he ran home saying,"Got-ta go." If Mrs. Rstrosky offered him a penny a puzzle piece to pickit up, how much money would fatrick make? _ How manyquarters would that- be? _ Dimes?Nickels?.

4. The original curtains in the kitchen were 52 inches long. Mrs. Ffetroskymade t.he new curtains 4 inches longer. How many centimeters wou\dthat be?

5. Mrs. Fbtrosky tflecUetfl it woultfl be cheaper to pay Patrick to watch theirhouse from inside his house than to move away. She t-oltfl him she ha^an important job for a boy detective. She woul^ pay him a quarter forevery hour he watched her house from 5>:OC> in the morning until 5:00in the afternoon. If he left his post to come to her house, he wouU lose$.25 of his money for every time he tftid thai;. The first ̂ ay he erde^ upmaking only $.75. How many times d\d he go to Mrs. Ffetroskys house?

The second day he made twice as much. How much d\dhe make?

© Instructional Fair . TS Denison IF87001 57 Great Math Stoi

LESSON 6 SEARCHING FOR COMPATIBLES Oil^Compatible numbers give you a sumthat is easy to use in your head. Hereare some examples of compatiblenumbers:

8317

^UMloo

250 / -S-L^l5o/4oo

Which of theseproblems containcompatible numbers?

What are the sums?

TRY THESE IN YOUR HEAD.

1 Find compatible pairs 2. Find compatible pairsthat total 100.

89 76 51 24

33 11 31 67

49 55 69 45

that total 500.

140 350 250 475

201 150 387 360

25 250 299 113

MENTAL MATH IN JUNIOR HIGHCopyright® 1988 by Dale Seymour Publications

51

MENTAL MATH IN JUNIOR HIGH

POWER BUILDER A1.2.

3.4.

5.

45 +

73+.19+

58 +

37+.6. 350 +

7. 275 +

8. 635 +

9. 876 +

10. 444 +

=100

=100

=100

=100

=100

=1000

=1000

=1000

=1000=1000

11. 125+

12. 239 +

13. 544 +

14. 199 +

15. 436 +

16. 275 +

17. 143 +

18. 333 +

19. 45 +

20. 685 +

LESSON 6 SEARCHING FOR COMPATIBLES

=400

=300

=700

=500=800

=500

=300

=600

=200

=900

THINK ITTHROUGH

A 10-m tape breaks at the 565 mm mark.How much of the tape is left?

^^MENTAL MATH IN JUNIOR HIGH

POWER BUILDER B1.

2.

3.

4.

5.

6.

7.

8.9.

10.

55+.

76+.

29 +

43+.

68 +

250+,

375 +

445 +759 +

666 +

=100

=100

=100

=100

=100

=1000

=1000

=1000

=1000

=1000

Copyright® 1988 by Dale Seymour Publications

11. 275 +12. 149 +

13. 233 +

14. 299 +

15. 634 +

16. 175 +17. 134+18. 444+,19. 35 +

20. 258 +

LESSON 6 SEARCHING FOR COMPATIBLE!

=400

=300

=700

=500

=800

=500

.

=300

.

=600=200

=900

THINK ITTHROUGH

In a 10-km run, Jack quit after 2500 m.What distance was he from the finish?

Copyright® 1988 by Date Seymour Publications

LESSON 8 SEARCHING FOR COMPATIBLE DECIMALS

When pairs of decimal numbersadd to a whole number, we cansay they are compatible.

It works withmoney amounts,and it works withplain decimals.

<roMwneL£ ^"|R$

^ 1. 10 ̂ Q^O

/. 74+6>26^8.45+-6/. 5?

3.7+1.5

^

Find compatible pairs.

$0.52 $6.90 $5.40

$9.60 $0.67 $0.48

$9.33 $2.50 $3. 10

Find compatible pairs.

12.8 4. 15 0.85

5.37 2.4 94.63

9. 15 3.85 2.6

TRY THESE IN YOUR HEAD.

1. Find compatible pairs 2. Find compatible pairsthat add to $1.00. that add to 10.

$0.85 $0.29 $0.35

$0.71 $0. 15 $0.41

$0.34 $0.65 $0.66

0.85 6.20 5. 10

2.75 4.55 9. 15

3.80 4. 90 7. 25

MENTAL MATH IN JUNIOR HIGHCopyright © 1988 by Dale Seymour Publications 55

MENTAL MATH IN JUNIOR HIGH

POWER BUILDER A

LESSON 8 SEARCHING FOR COMPATIBLE DECIMALS

1. $0. 52 +

2. $0.69 +_

3.

4.

5. 0.41 +

6. $2. 45 +_

7. $4.51 +

8. 9. 38 +

9.

10.

= $1.00

=$1. 00

+ 0.36 = 1+ 0. 88 = 1

=1

=$10.00

=$10.00

.

=10+3.69=10

+ 5.74=10

11. $4.95 +

12. $3.69 +

13.

14. 1.7 +

15. 8. 2 +

16.

17.

18. 0.74 +

19. 9. 345 +

20.

= $5.00

= $5. 00

+1.63=5

.

=5=10

+4.4= 10

+ 17. 64=20

=10

= 10

+ 4.745 = 5

THINK ITTHROUGH

Megan has only dimes and quarters. She hasthe same number of quarters as dimes. If shehas $3. 85, how many quarters does she have? <

Copyright © 1988 by Date Seymour Publications y

MENTAL MATH IN JUNIOR HIGH

POWER BUILDER B1. $0. 64 +

2. $0.73 +

3.

4.

5. 0.39 +

6. $3.35 +

7. $6. 52 +

8. 8. 28 +

9.

10.

= $1.00

=$1. 00

+$0.44 =$1. 00

+ 0.77 = 1

=1

=$10. 00=$10.00

=10

+4.59=10

+ 6.68 = 10

LESSON 8 SEARCHING FOR COMPATIBLE DECIMAL

11. $3.72 +

12. $3.57 +

13.

14. 2.6 +

15. 7.3 +

16.

17.

18. 0. 74 +

19. 9. 125 +

20.

= $5.00

= $5. 00

+1.59=5

=5

= 10

+5.5= 10

+ 18.38=20

=10

=10

+ 4.085 = 5

THINK ITTHROUGH

Josh has only dimes and quarters. He has the samenumber of quarters as dimes. The total value of thequarters is 750 more than the total value of the dimes.How much money does he have?

Copyright® 1988 by Dale Seymour Publications


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