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Copley, Charlotte E.Math by Mail: Grade 5 Revised.Hampton City Schools, VA.87114p.; Drawings may not reproduce well.Hampton City Schools Mathematics Department, 1819Nickerson Blvd., Hampton, VA 23663 ($15.00).Guides Non-Classroom Use (055)

MF01/PC05 Plus Postage.Computation; Elementary Education; *Elementary SchoolMathematics; Grade 5; *Home Study; Homework;Intermediate Grades; *Mathematics Instruction;*Mathematics Skills; Measurement; NontraditionalEducation; *Parent Participation

ABSTRACTThis document &scribes an experimental program which

is designed to help students from grade 5 to grade 7 who are workingat or slightly below grade level maintain mathematics skills.Students receive nine home-study packets containing two to fourlessons each. Parents must make a commitment to supervise thehome-study. The 25 lessons presented in grade 5 cover topics such as:(1) addition, subtraction, multiplication and division of wholenumbers; (2) addition and subtraction of fractions; (3) measurement;and (4) word problems. (PK)

***********************************************************************

Reproductions supplied by EDRS are the best that can be madefrom the original document.

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U.S. DEPARTMENT OF EDUCATIONOffice of Educational Research rld Improvement

EDUCATIONAL RESOURCES INFORMATIONCENTER (ERIC)

This document has been rerroduced as)i(received from the person or organizationOriginating it.

O Minor changes have been made to improvereproduction Quality

Points of view or opinionsstaledanthrsdocikment do not necessarily represent officialOERI position or policy

"PERMISSION TO REPRODUCE THISMATERIAL HAS BEEN GRANTED BY

Charlotte Copley

TO THE EDUCATIONAL RESOURCESINFORMATION CENTER (ERIC)."

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2 BEST COPY AVAILABLE

WELCOME TO MATH BY MAIL!

GRADE 5

Please, read the directions carefully. You may want to do

this several times. Then look at the example which is worked

out for you. Try it on your own to see if you get the same

answer. After this vou will be ready to work the other

exercises. Repeat this process on each section.

GOOD LUCK:

3

GRADE 5

Lesson One

NAME

WELCOME to MATH Er MAIL!! We hope you'll work hard but also will have

fun. GOOD LUCK!

To the Parent: Please help your child getstarted on each packet andcheck the lessons to seeif they've been completedbefore they are mailed.If you or your child doesnot understand the in-structions or if help isneeded in understandingthe mathematics have yourchild call the mathteacher.

I. In this lesson you will. identify even and odd numbers. round numbers

EVEN or ODD

Even numbers are whole numbers divisible by 2.Odd numbers are not divisible by 2.

a

4 J

even1 I

evenL1 even1 I

0 4- 6

odd

event t

7 ,odd

evenI , -1----.9 /0 ./

odd oddO / .z

odd

Even or odd?

3odd

1. 36 even 7. 100 13. 2 X 33 even

2. 15 8. 102 14. 2 X 47

3. 13 9. 105 15. 2 X 80

4. 20 10. 231 16. 1002

5. 19 11. 232 17. 2361

6. 25 12. 233 13. 4173

Hampton City Schools Mathematics Department Lesson One-1-

II. ROUNDINGTo the nearest 10

In making an estimate we can round to the nearest 10.

:I

232 is closer to 230 (4 or less - round down)238 is closer to 240 (5 or more - round up)

Round to the nearest 10

number rounded to the nearest 10

55 60

93 90

384 38o

496 500

1. 22

2. 18

3. 54

4. 183

5, 69

6. 846

7. 908

Wmax/MMO


100

686 700

3961 4000

350 400

8. 7609

Hampton City Schools Mathematics Department Lesson Ond

-2-

II. ROUNDING Continued:

9. 1163

10. 851

11. 756

12. 2638

13. 1800

14. 931


7,269

29,898

15. 675,423

16. 2,650

17. 380,500

18. 593,579

19. 43,296

20. 1,900

21. 85,382

7,000

30.000

Hampton City Schools Mathematics Department Lesson One

GRADE 5 NAME

LESSON TWO

To the PARENTs .In this lesson your child will:Write word names for numbers.

LOOK over the place value chart.

Then read the two examples.

4 2 3 8

four thousand two hundred

I

thirtyi -eight

)

0I

I1.71 13 i

six thousand one hundred thre,zI

NOW try the following.

I. Write word names for the following

1. 6,380

2. 8,002

3. 5,030

4. 4,063

5. 7,7Y7

6. 822

7. 84

8. 189

9. 3,087

10. 6,700

My name is three!!

Hampton City Schools Mathematics Department Lesson Two

-1-

Write the number for each

Eight hundred. six

12: Seven thousand, seven

13. Three thousand, four hundred

14. Two hundred thirty-nine

15. Four thousand, twenty

16. Five thousand, sixty-three

17. One hundred ninety nine

18. Five thousand, fifteen

19. Eight thousand, three hundred

20. Twenty-nine

21. Two hundred ten

22. BUILD the number that has:

23.

NAME

7,007

Tnous- as

6 in the thousands place9 in the ones place

fin the tens place0 in the hundreds place8 in the hundred thousands place2 in the ten thousands place

Write the number fors

Four hundred twenty-two thousand, nine hundred two

Hampton City Schools Mathematics Department Lesson Two-2-

I/.

NAME

Circle the digit in the indicated place. Look back at the placevalue chart if you have trouble. (Write number on answer sheet.)

1. 16) 307 thousands

2. 89,2 ones

3. 428,327 ten thousands

4. 5, 784 tens

5. 1,378,255 hundred thousands

6. 6,875 tens

7. 1,036 hundreds

8. 32,866 thousands

9.. 82,300 hundreds

10. 596 ones

Hampton City Schools Mathematics Department Lesson Two-3-

9

GRADE 5 NAME

LESSON THREE

TO THE PARENT: In this lesson your child willadd whole numbers. Please haveyour child review the basicaddition facts. Use the enclosedbasic fact sheet as a 3 minutetimed test.

Add the ones;leave the tensunchanged.

I. Try These

Add the ones. Change15 to 1 ten and 5 ones.Write 5 in the onesplace. Add the 1 tento 7.

1 19HILT

1 0

014.

82

Add the ones.Change 12 to 1 tenand 2 ones. Write2 in ones place.Add the 1 ten to 9.Change 10 to 1 tenand 0 ones. Write the0; add the 1 inhundreds place.

1. 1 6 2, 3 8 3. 4 7 4. 3 6 5. 4 8+ 6 L2_2_

6. 9 7 7. 6 5 8. 4 9 9. 5 3 10. 3 6+ ±1_2- +7 3 +6 8

11. 9 1 12. 7 8+4 9 +8 9

Hampton City Schools Mathematics Department Lesson Three-1-

10

II. Examples Add

Step 1 2,

3 56 3

+1 2

Try These !!!!

357 + 639 +

Step 2 /

36

+1

128

NAME

Step 3 / z3 5 76 3 9

+1 2 8

1. 3 1 2. 1 3 7 3. 2 7 3 4. 6 8 24 3 6 8 6 5 4 2 7

+4 5 6, +323

5. 1 6 7 2 6. 2 0 0 1 7. 4 8 5 8. 2 8 6 03 8 1 3 7 6 1 3 1 3 5 2 3

+ 2 3 5 + 4 2 3 + 6 9 7 +3576

Hampton City Schools Mathematics Department Lesson Three-2-

11

f// 7. 196 \

325

PLEASE ADD

All SLIM have a 1.

Lesson Three12

5. 254462

z/8. 246

854

=8+6

=O+E

v z =L+ I

0 =8 +9

b+h

=g+h

= L.+h CI) N.. E , O CJ = E + 9 NC=

C 144

10.04_ = g+9 co

C.1

0 1 =h+z co%. vaM.,

4.1 S =E+0

E = h h enia) 4. 4i c)

= +

o = 8 + z"

$4 1.4

ti) =h+0 01_4

44 1 c1;Ly =I +E

/1111)

= 9 b

. = + 0

0 0-4

b+9 43-6

11)

4 u h+g

=17+1

=E+Z

CT =Z+L

=L+9

=b+E

=g+L.

=g+E

=1 +0

=0+0

=0+6

=E+L

=6+8

=1 +1

=L+9

= I +g

=8+8

=g+0

=E+h

=h+E

=Z+E

=b+Z

=L+g

=17+8

=g+8

=0+ I

=0+9

= I +8

+0

=9+1

=8+0

=O+h

=Z+g

=9+Z

=I +Z

=8+g

=Z+9

=Z+b

=9+Z

=8+Z

=9+17

=9+C

=g+b

= b+ b

=8+h

= I +h

=9+9

=9+8

=0+Z

=O+L

=h+9

=g+Z

=9+g

=E+b

=Z+8

=Z+Z

=E+E

=1 +9

=h+b

+L

=L+1

=o+g

=Z+h

=Z+

=8+E

=g+1

= b+.Z

=Z+Z

=L+b

=b+I

=ZOO

=0+8

=h+z

=E+8

=b+G

Z41

I.

GRADE 5NAME

LESSON FOUR

TO THE PARENT* In this lesson your child willsubtract whole numbers. Pleasehave your child review the basicsubtraction facts. Your childshould be able to complete theenclosed basic facts sheet in3 minutes.

ripiember

Subtract 5723 2457

Step 1/.

5 7A13

Step 2(oh

5*A 3

Step 36;

5 /7 2 3

Step 4

5 7 2 3

:ILL/4 2 4 -24572 3 2 6 6

Try These !!!

1 . 3 4 6 2 . 4 7 8 3 . 6 8 0 4. 8 7 9

- 38 - 35 59 425

5 3 8 5 6 7 8 7 7. 5 8 4 8 . 7 0 0

-118 -249, 397 8

9. 7 5 4 2 10. 5 2 0 1 11. 7 5 3 9 12. 7 8 9 5

- 891 4891 3 8 7 6 6768,

Hampton City Schools Mathematics Department Lesson Four-1-

14

II. SUBTRACTING

Subtract. Use the code to find eachdifference.

1. 247 - 168 .1

2. 325 - 118 =

3. 533 - 467 =

4. 7936 - 187 =

7.

5. 9241 - 5436 =8.

6. 3721 - 1953 = 9.

r 10.

II.

12.

571

434 95

Here's how:

67 792 385

671- /6 = 51

Hampton City Schools Mathematics Department Lesson Four .

-2-

15

III. Subtract.

aPectisl'it or

1. 55 2. 436 3. 92 4. 845-36 - 42 -85 -359

5. 52 6. 200 7. 96 8. 436-15 -113 - 7 -249

9. 471 10. 201 11. 771 12. 565-289 -113 -671 -337

13. 541 14. 323 15. 625 16. 75

-374 -165 '-338 -16

17. 753 18. 676 19. 74 20. 78

-288 -397 -45 -28

21. 860-789

22. 43-19

Hampton City Schools Mathematics Departmenti

Lesson Four-3-

16

MATH FACTS

Math Form Su-C (New '82)

See how many of these you can answer correctly in 3 minutes.

Have some-

one time you and check- your answers.

THEN complete the remaining facts. JAI

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GRADE 5NAME

LESSON FIVE

TO THE PARHAM Have your child take the enclosedtimed multiplication test. Yourchild should finish in three minu-tes.' If not there should be drillon these X facts.

fipmembor

I.

In this lesson your child willfind products of up to 4 digitnumbers X 2 digit numbers.

348

Step 1 Step 2 Step 3

354 354

854 8

3354 8

X6

X 7---3-6-- 2 4 Z

(7X8=56) C7X4=28; (7X3=21;28+5=33) 21+3=24)

EXERCISE SET 1:Please multiply.

4

Some have been worked for you.

1. 3 5X 8

2. 6 7X 4

3. 4 6 4. 6 2X 3

5. 8x

46

2

6. 48 7. 6 6 8. 5 7X 8

9. 5628 3 10. 9 4 1 11. 7 8 2 12. 7 5

X 7 X 8 X 6

4 7

13. 630 8 14. 9 0 9 15. 8 0 3 16. 5 0 9

X 4

Hampton City Schools Mathematics Department Lesson Five

-1-

18

LOOK

NAME

Multiply: 526 X 27

Step 1 Step 2 Step 3

5 2 6236 2 366 8 2

7

1 0 5 2 0 1 0 5 2 01 4,2 0 2

EXERCISEPlease

1.

SET 2:multiply.

9 9

Some

2.

have been

3 7X1 8

worked for you.

3. 5

4-9F59 8 0

21,4 7 5

4. 7 6 3 5. 3 7 6' 6.

X 4 86 1 0 4

3 0 5 2 036,624

7)6( 7

8. 9X

1 314.

2

1

9.

4 0 54 7 2 7 1

80

513,228

9

96 4

5X

5 4 3 2X 9 8

Hampton City Schools Mathematics Department Lesson Five-2-

19

III. Work the multiplication problems below.

1. 35 2. 17 . 3. 22x26 x36 x14

4. 34 5. 138 6. 19 7.x20 x 4 x32

8. 79 9. 19 10. 22 11.x 9 x16 x34

13. 14 14. 28 15. 23 16.x21 x10 x10

18. 24 19. 23 20. 32 21.x20 x23 x23

23. 93 24. 14 25. 18 26.x27 x62 x32

28x12

17 12. 43x26 x12

13 17. 18x42 x16

32 22. 86x12 x12

14x72

Hampton City Schools Mathematics Department Lesson Five

-3-

20

4x0= 8x2= 6x7= 1x3=

7x0= 7x4= 8x5= 6x1=

Ox I = 1x6= 5x4= 7x I =

0x3= 5x6= 8x0= 6x5=

8x3= 6x9 = 4x3= 0x5=

24= 5x7= 3x5= 7x7=

5x0= 2x 1 = 9x2= 7x6=

4x5= 0x6= 4x7= 3x2=

6x0= 8x7= 2x4= 6x4=

0x8= 9x6= 3x 1 = 4x2=

4x6= 9)(9= 7)(9= 5x3=

3x0= 5x8= 0x7= 6x3=

I xq= 4x8= 1x7= 3x6=

4)0= 8x8= 8x4= 3x8=

7x2= Ox0= . 5x2= 1x5=

4x 1 = 9x8= 2)(8= 8x 1 =

4x4= 7x3= 2x7= 6x8=

0x2= 2x5= IxI= 8)(9=

9x4= 3x3= 3)(9= 9x7=

5x I = 1x4= 2x3= 5x5=

1x8= qx0= . 1x2= 8x6=

2x6= 6x6= Oxcl= 9x3=

7x5= 2x.q= 6x2= 3x7=

qx1= 0x4= I x0= 7x8=

9x5= 2x2= 5x9.= 3x4=21

ao <0

ca can 0rt 5m m

s

GRADS 5 NAME

LESSON SIX

TO THE PARENT: Have your child take thetimed division math fatstest Your child should getthem correct in three minutes.If not, drill your child on thesefacts.

QpniomborIn this lesson your child will dividewith one and two digit divisors.

Step 4

a5 arT61i1--t R4

545 4 5

I. -1E3 ---Z-8 2 8-2 4--77

Divide: 568: 6

Step 1 Step 2

Step 5

Step 3

El 517 8 6 5 g47 8

Step 6

(4X6)-4 2 4

EXERCISE SET 1:Please divide. Some have been worked for you.

1. 5 2. 61 5 5 4

30-5

3 . 8 ,j 3 4 7

Hampton City Schools Mathematics Department Lesson Six

22

tt

6 i 6 R14. 7 S

4 a

421

NAME

5. 6J 5 5 4. 1

Divide: 6820 76

Step 1

6

How 7'sin 68? Try 9.

Step 3

7 08 is okaymultiply 8X76then subtractand bring down.

Step 5

8 R 67 6 2 0

6 0 8-77 0-684

Multiply 9 X 76.Subtract.Remainder is 56

Hampton City Schools Mathematics Department-2-

23

6. 9J 1 4 6 4

Step 2

Or 3170

Too gt

Try 8.

Step 4

8.01_L2i6J77-

80

-6 00

How many 7 s in74? Try 9.

Lesson Six

II. NAME

EXERCISE SET 2:Please divide. One has been worked for you.

4 0 11112

1. 3 5J 1- 1 21 4 0

1 2- 0

12

4. 6 5 J 5 9 2

2. 3 8./ 9 2 3. 3 0) 6 7 8

5. 6 2) 7 5 5 6. 5 3j 2 9 3 S

Hampton City Schools Mathematics Department Lesson Six-3-

24

a)LCD

MATH FACTS

See how many of these you can answer correctly

in 3 minutes.

Have some-

one time you and check-your answers.

THEN complete the remaining facts.

Math Form Di-C (Mew '62)

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Leason Six

Zsoile. ett, Me.chess 1 complete -Me cross huili6er putele.ACROSS DOWN

1. 154 + 14 2. 1144 + 88

3. 1184 + 37 4. 1690 + 65

5. 2752 + 43 6. 315 7

7. 1767 + 31 8. 3744 + 52

9, 588 + 21

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Hampton City Schools Mathematics Department Lesson Six-5-

27

GRADE 5 NAME

LESSON SEVEN

TO THE PARENT: In this lesson your child willfind the greatest common factor(GCF) and the least commonmultiple (LCM). It lis importantthat your child does not confusethe two.

FACTORS

'1 !.

2 !

./ V ,3x 4=12

2x 6 . 12

I. The factors of 12 are 1,2,3,4,6,12

1 x 12 12

0 0 00 0 00 0 03 x 5

000

00015

0 1) 0 0 0 0 0 01 X 15

0=

015

0 0 0 0 0

The factors of 15 are 1,3,5,15

The common factors of 12 and 15 are 1 and 3.

The greatest common factor (GCF) of 12 and 15 is 3.

1.

2

_3.

4.

5.

EXERCISE SET 1:Fill in the table. Some have

NUMBERS FACTORS

8 1,2,4,812 1,2,3,4,6,12

16 1,2,4,8,1620 1,2,4,5,10,20

1827 1,3,9,27

1,2,7,1416 1,2,4,8,16

1,2,5,10,25,5075 1,3,5,15,25,75

7 1,79 1,3,9

been worked for you.

COMMON FACTORS

1,2,4

1,2,4

1,3,

ESTCOMMONGREATFACTOR

4

9

11111111111

Hampton City Schools Mathematics Department

-1- 28Lesson Seven

NAME

II.EXERCISE SET 2:Find the preatest common factor for each pair of numbers.One has been worked for you.

1.

4.

6.

8.

7 2. 3'-13 4° 21-)'

24-4°1,2,3,4,6,802436-4° 1,2,3,4,6,9 18,36

GCF = 12

15 4-35 4-

18 4*24 40

7.

5. 8 le'18-*

15 -02141'

9. 164,144),4-

3. lo -4030

1,2,4,5,8,0,20,40

III. MULTIPLES

When we multiply a number such as 3 by 0, by 1, by 2,

we get multiples of 3.

3 6 9 12

(0, 3, 6, 9, 12 ) are multiples of 3

EXERCISE SET 3:

1. Multiples of 7: {0, 7,14, 0, A, 0, ...}2. Multiples of 6: {0, 6, 12, 0, A, 0, ...}

' 3. Multiples of 11: {0, 11, 22, , A, 0,4. Multiples of 12: {0, 12, 24, 0, A, 0,5. Multiples of 8: (0, A,.0, 24, 32, 40,6. Multiples of 9: {D, A, 0, 27, 36, 45,

}}}}

(non zero) multiples of 12 are g2, 48,(non zero) multiples of 18 are 8, 72,

least common multiple (LC of 12 and 18 is I.

Hampton City Schools Mathematics Departmen4 Lesson Seven-2-

Iv.

NAME

EMS= SET 41

List the non zero multiples of each number. Then find theleast common multiple for each pair. Sao have been meter! for you.

1. To find the multiples of 4 multiply 4 by 1, 2, 3, 4, etc. Do thesame for 14. 'Men find the first common multiple.

2.

3.

4.

.2

6.

7.

8

9.

10.

4"3" 4,

14014,8 12, 16, 20, 24 X28, 32, 36,

1220

915

621

812

10 04. 10, 20, 30, 40, 50, 60, 70, 80,9 40 9, 18, 27, 36, 45, 54, 63, 72,

4,

26

696

1025

712

11. Buns come in packages of 8. Hot dogs in packages of 10. Whatis the least number packages of hot dogs and of buns you shouldbuy so you'll have the same number of buns as hot dogs?


30

Lesson Seven

.MATH FACTS

4

See how many, of these you can answer correctly in 3minutes.

Have some-

one time you and check your answers.

THEN complete the remaining facts.,

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GRADE 5 NAME

LESSON. EIGHT

TO THE PARENT: In this lesson your child willwrite equivalent fractions.

Fractions:

1.

Fractionalpart eaten

2.

Fractional partof tho cup filled

3

Fractional part of thenarbles that are dark

6

EXERCISE SET 1:Name the fraction for the part that is snaded.

1.

4.

2.

5.

4.

Hampton City Schools Mathematics Department Lesson Eight-1-

32

II.

NAME

6. How much of the carton is left? 7. What part has been eaten.?

(the light part)

a

8. What part has been eaten? 9. What part of the eggsare brown?(the dark part)

/an?. 4111/

Equivalent fractions name the same number.

1 2

EXERCISE SET 21Study the diagrams and write the equivalent fractions forthe shaded,parts.

1.

.1711111.MMEMP.


33

4.

Write equivalent fractions' for. shaded parts.

2.

Write two names for the shaded parts. The first one hasbeen done for you.

01011.°

5.

0

110

6.

1

41Imewle


NA?

Finding equivalent fractionsi

Examples;

2 2 X3 3X

EXERCISE SET 38.

Give the missing fractions in each exercise.

x3 3

mimMINNE

2 .

52(3

1 4-5 x 4

2 4 2 5.x x

NIMMIMMNIIONO. =.1e,

3. 4 10 20 3./ 3 10010 X 4 10X10. 10 X 20 10

y-25 10 X100

IMM.N.

2, 1/4 4 25

2 2 10004 100 4 1000


35

MIll

NAME

Find what you must multiply the numerator and denominator by toget the given denominator. Find the numerator.

5. 4 4 X [7]5 5 X 15

7. 33XLI8 8 X 32

9. 1 1 X03 3 X = 30

Find the numerator.

6. 2

3 3 X

III

8. 7 7 X II10 10 X 100

21

10. 4 4 X4 4 X 32

11. 1 12. 3 13. 4

2 12 4 16 5 25

14. 5 15. 1 16. 3

8 16 3 6 5 10

thinktittocomy aCJII

9 4C-:4

Finding a common denominator.

EXAMPLE 1:Write equivalent fractions for

2

1 3

8mmand with a common denominator.

1 1 2 3 4 5Names for

2 g'Cli Icy

3Names for

8--000

1

6

6'

4 3

8and have the same denominators.

8

Hampton City Schools Mathematics Department Lesson Eight

-5-

36

IV.

NAME

EXAMPLE 21Write equivalent fractions for and e with a common denominator.

Names for it ith R'

Names for k

14 and -/ have the same denominator.

EXERCISE SET 4:Write equivalent fractions with a common denominator for eachpair of fractions.

1. 1

Z 9.3

2 _

6

3. i

2. 3

Hampton City Schools Mathematic Department Lesson Eight-6-

37

GRAMS 5

NAME

LESSON NINE

TO THE PARENT: In this lesson your child will reducefractions and multiply fractions.

? ?

12 4

Reducing Fractions to Lowest Terms

EXERCISE SET 1:Give the fractions in lowest terms.

1. =,4 T1=10 10

3.

12 1:1120 20 4

7. 1540

2. AL = 8 = II32 32 22

4. 1Q 10 412 12 4

06. 6 6 4

21 21 4

8. 90100 2:

9. 1.1 10. 18

20 24

Multiplying Fractions

This drawing shows that2 4. 85 of g IS

2 {3

4

EXAMPLE 1:3 1 3

X10

EXAMPLE 2: 3 v 2 64 3 12-

5


38'

Multiply numeratorsMultiply denominators

Lesson Nine

II.

Multiplying FractionsEXAMPLE 3:

aX =8 X

1

8

3

8

EXERCISE.SET 2:Multiply and Reduce

NAME,

1.

4.

7.

10.

13.

4 2

A. 1

5 4

74

"I 2

2.2 5

5. 1 1

3.

6.

9.

12.

15.

3

2 3

8

5 211 3

1 3

10 3

8.4 X

21

11. 2 v 23 3'

14.5

3 5

3

10 100

1 3

4 2

-1- X 28

10 5

7 v 1

1' 2

III. Multiply Down, Multiply Acioss

X

1 2. 2,2 3

Ob

3 3

4 5X

2(b

3

1 7

5 10

Z.:3-


39

Lesson Nine

lagth.....4ce each rwilon lower' l Terms.

e4A yOlt field -Mare et,11SWCrS &Aid% ctrz4he Same

2. 12

16

5.24=36

EL 25

5.;

11.

4

24

3.8

40

6. 21 ==36

a. 2128

12.

24

Hampton City Schools Mathematics Department Lesson Nina-3-

40

*

7. 3 x 53 7

/ease tt14.11/

9. 8x 119 13

11. 1 X 13 4

116. 7- x - =10 12

8. 4- X 2

5 3

10. x =9 11

12. 1 x 35 -6

Hampton City Schools Mathematics Department Lesson Nine-4-

41

I.

GRADE 5 NAME

LESSON TEN

TO THE PARENT: In this lesson your childwill add both like andunlike fractions.

Adding Like Fractions

EXAMPLE 1:

EXAMPLE 2:

EXERCISE SET 1:Add. Reduce to lowest terms.

1. 2. L4

4.5

2

5

5. 2 2.

3 3

Adding Unlike Fractions

EXAMPLE : 2 1

rfNames for ---lo 6j, , 3,

42

2 8

5 ice

Ori

4 1+

48

0 1 2 3 4 5 6

126

6 6 6 6 6 6 6

+ .56::: denominators same

add the numeratorskeep the denominators

331 2

+ 3

6. 412 12

300..


42

*Lesson Ten

II.

Adding Unlike Fractions

EXAMPLE 2:

Names for.

Names for

a+

i---4a 1i, 3 , -28,

1 4=

+

EXERCISE SET 2Add and simplify.

1.

4. 1

3+ 4

7.

10. 4.

NA4E

2. 2 3. 1

1rz+

5. 1 6.

+1 + 17 7

8.

9 13.70

+

Hampton City Schools Mathematics Department Lesson Ten-2-

43 .

NAME

III. EXERCISE SET 3:

Add the fractions below. Put your answers on the answersheet. Don't forget! Reduce your answers to lowest terms.

1.

2.

3.

4.

5.

6.

7

10

17

$

1

-8-

7

1316

1

5

3

IT

+

3+ 4

13

+ $

4. 3

4

1y

9

16

3

7

614 441

=

=

$+lf

7

Hampton City Schools Mathematics Department Lesson Ten

- 3 -44

IV.

Ado across. Add down.

NAME

1.r 3.10FIT-27b 5'44\ /O

1 g25

41Mialinpme.41

2

;19

3 1

5 10


45

356

Lesson Ten

I.

GRADE 5 NAME

LESSON ELEVEN

TO THE PARENT: In this lesson your child willsubtract fractions with like andunlike denominators.

Subtracting Fractions with Like Denominators

EXAMPLE 1: =

EXAMPLE 2: 1

3

4

_14

2

4

EXERCISE SET 1:Subtract and simplify.

1.

14Alo to to to io T6 T6 io io T6 io

9' 510 10 10

4keep the common denominators

denominators are the same

subtract the numerators

4 23

2.

4. 6 2

7 7

Hampton City Schools Mathematics Department Lesson Eleven-1-

46

NAME

7. John had yard of wool. He used yard to make a vest.

How much did he have left?

8. Nancy had of a pie. She ate . How much was left?


1.

5.

9.

sop

5

72

7

3910026

100

3

42

4

2. 14173

17

6.

10.

WOO

4

5

1

5

5

6

4

6

oz. 19 4 14

25 37

13 1

25 57

7.7

8

2

8

8.10131

13

11. 910

12. N2 4.10 21

Fe.st.dei mac,

-x644)tvutten. ,44:0

`71-A-fraie .


48

NAME

III. Subtracting Fractions with Unlike Denominators

EXAMPLE is'

16-21

5I. 1le-- mile-6-41 3 2;

Start Finish

0' Eve an 1 mile

Jan is how much ahead of Eve?

5 3

15 2', i -?2-03j 3

4So Eve is 15 mi. ahead of Jan.

EXERCISE SET 2:Subtract. Simplify if possible.

1. 11 _ 11 2.

12

L._ .

12 ib2 1IT or

3.

2

4. 4 5. c 6. 1 1

9 3

8. .1 1

-2- -.3

Hampton City Schools Matnematics Department Lesson Eleven-4-

49

NAME

IV. Subtract across. .Subtract down.

8


Subtract the fractions below.Put your answers on the answersheet.

3

14

3A /

1.01, !MM..

1.

8.

1 _ 2-e r Ty.

/O. tr./e; i4

dT.

srt. 9 k%

Hampton City Schools :4athematics Department-co-

51

Lesson Eleven

I.

GRADE 5 NAME

LESSON TWELVE

TO THE PARENT, In this lesson your childwill read and write decimalfractions.

0

.4i3.47

4.05

decimalpoint

41.3 forty-one thd three tenths3.27 three and twenty-seven hundredths4.05 four and five hundredths

2 = 2.3

EXERCISE SET isPlease write each decimal as a word statement.

1. 3.4

2. 14.18 fourteen and eighteen hundtedths

3. 20.02

4. 2.65

5. 4.50

/IS

Hampton City Schools Mathematics Department Lesson Twelve-1-

52

Hampton City Schools Mathematics Department Lesson Twelve-2-

II. Writing Decimals: Tenths and Hundredths Name:

Write the missing =eters. For each exercise, write a decimal.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.,

.42 =

.18 =

.7 =

.10 =

.01 =

.11 =

.86 =

.03 ra.

.33

.5 =

.67 =

.84 =

.75 =

.61 =

.8 =

.80 =

.08 =

.40. =

.04 =

.4

=1 hundredths 21.

22.

23.

24.

25.

26.

27.

28.

29.

30.

31.

32.

33.

34.

35.

36.

37.

38.

39.

40.

hundredths

tendui

hundredths

hundredth

hundredths

hundredths

hundredths

hundredths

tenths

hundredths

hundredths

hundredths

hundredths

tenths

hundredths

hundredths

huidtadths

hundredths

tenths

4 hundredths

81 hundredths

10 hundredths

6 and 31 hundredths

5 and 8 tenths

5 and 80 hundredths

36 aad 7 hundredths

75 and 12 hundredths

60 and 31nryined-hs

541 and 18 hundredths

one tenth

ten hundredths

nine and one hundredth

nine and one tenth

forty six and seven hundredths

fifty and fifty hundredths

twenty six and.one hundredth

ten and thirty nine htmdre4ths

one and forty eight hundredths

twenty nine and three tenths

Hampton City Schools Mahtematics Department

-3-

54

Lesson Twelve

GRADE 5NAME

LESSON THIRTEEN

TO THE PARENT: In this lesson your childwill add and subtractdecimal fractions. Empha-size that your child must141:112122.- the decimal ointsbefore adding or subtracting.

I. Addition of Decimals

EXAMPLES:

1. Add 4.68, 15, and 22.3

Step 1 Rewrite in verticalform with. the deci-mal points writtendirectly under eachother.

Step 2 Add as with wholenumbers.

4.68 NOTE: A whole number15.00 4-has the decimal point22.30 after the last digit.

4.6815.0022.3041.98

2. Henry bought a fielder's glove for $15.49, a bat for $4.79,and a baseball for $2.19. How much did he spend altogether?

$15.494.79 line up the decimal points2.1

22. 7

EXERCISE SET:Add.

1. 7.5+ 1.3

4.54 + 45.4

6. Joni bought a jersey for $11.29, and cap for $8.99. Howmuch did she spend?

2. 2.513.7

3. 3.0 4. $4.89 + $9.1611.8


55

LessonThirteen

4.

II. End the Si. Line up the numb%..vs by using the decimal Po Ls provided.

All the answers are alit1.1...sdroms Palindranes read the same formrds & backwards.

1. 5.7+.9=

.9

3. 2.5+6+.3=

VV/WeeeVeeeeeetel

2. 7.2+.027=

Ilimlymmmwa

4. 7+.91+12=

.087+4.7+2+63.2+9= 6. .461+6.3+9+.4=

Hampton City Schools Mathematics Department Lesson Thirteen

-2- 56

NAME

III. Subtraction of Decimals

EXAMPLESv

1. Find 9.36 - 3.1

Step 1 Line up the decimalpoints.

Step 2 Subtract.

2. Find 8.7 - 2.33

Step 1 Line up decimal points.

Step 2 Annex zeros

Step 3 Subtract.

9.36.1

9.36

8.7

8.70

=LLD__

3. Tom bought a catcher's mask for $18.98.He gave the clerk a $20bill. What washis change?

$20.00 annex zeros- 18.28$ 1.02 To received $1.02

change.

EXERCISE SET:Subtract.

8.702.6.37

1. 6.7 2. 6.28 3. 9.33 4. 6.3- 3.z6

5. 32.7 - 19.73 6. 11.6 - 3.79

Hampton City Schools Mathematics Department Lesson Thirteen-3-

57

NAME f7. The barometric pressure before the tornado was 29.34 ia.

and during the tornado was 27.44 in. By how much did thepressure change?

8. Helen bought a notebook for $5.39. She gave the clerk$10. How much change should she receive?

Hampton City Schools Mathematics Department Lesson Thirteen-4-

3. ,63.2-15.7=

544aract1624 SayS a,1 a Asiblerc )ale,

411, seat! .

1. .9-.2= 2. .93-.26=

)4. .009-.062= 5. 632.01-260.09='

61.7-54.3= 5.73 -4.98 =


-5.59

LessonThirteen

GRADE 5 NAME

LESSON FOURTEEN

TO THE PARENT: In this le)son your child will expresscommon. fractions as decimal fractionsand decimal fractions to dommon fractions.

Changirg Decimal Fractions to CommonFractions

0.25 == 1

=

1 Write as fractional parts of a dollar. Reduce to lowest terms.

1. 2.

-AL1

-L00

3.

II. EXERCISE SET:Write as common fractions. Reduce to lowest terms.

3. 0.35

6. 0.12

Hampton City Schools*Mathematics Department Lesson Fourteen-1-

1. 0.04:4 2. 0.29:27/do as

0.08 5. 0.7

60

NAME

7. 0.09 8. 0.2 9. 0.46

10. 0.25 11. 0.1 12. 0.44

13. 3.05 = 3rtia = 34614. 5.9

15. 1.8 16. 2.25

III. Changing Common Fractions to Decimal Fractions

EXAMPLES:

1 1 XE 2

5 5 x = 10 2. .

change denominator to 10

EL .75 change denominator to 100100

II]= ...3 x = 11 = 15 Change denominator to 100

20 20 X 100

EXERCISE SET:Fill in the boxes.

1. 12 _ i7 x . .34 2.50 50"X ri 100

4. 1 _ 1 X10 3 5 x 10

100

Hampton City Schools Mathematics Department Lesson Fourteen-2-

61

.111111MMIll=

NAME

Write each fraction as a decimal.

7. 11 _ 44 44"23

6.

9,= 10.54 _ _

11.147 = 4--10

14. 2.1317 =

16. 3 306

18. 1A- =

20.

10

22. 5rg-6

12. 13. == Too

15.25.2_

=

17. 2 _3

19, _2_ =too

21. 2176 =

23Two appendages of the crab are pinchers.Give a fraction and decimal to show

pincherstotal appendages


62

Lesson Fourteen

GRADE 5NAME

LESSON FIFTEEN

ie a 0 ' -

84.:,;

REMEMBER!!!!!Harry, the Hippo andPAC MAN take thebiggest bite.

TO THE PARENT:In this lesson your chi awill compare the valuesof decimal fractionsusing 4: , 7 or =.

I. 7 L 10 7 is less than 10

.32, 1,46 is greater than i6 or

.3 = .30 is equal to .12.100

.82

EXAMPLES:

Compare the decimals using , , or =.

compare tenths, both 8

compare hundredths, both 0

.8 = .80


63

Lesson Fifteen

Continued. NAME

compare tenths 0 < 8

.080 .8

.08 .8

compare tenths, both.280 .21

compare hundredths, 8

.28 7 .21.

7 1

Exercise Set 1:

Arrange these in order from SMALLEST to LARGEST.

Hampton City Schools Mathematics Department - Lesson Fifteen-2-

II. EXERCISE SET 2:

Insert the Missing Decimals:

.75 .76 .77 .79 .81 .82 .84 .85 O .87

.445 .446 .447 E:1 .449 .451 .452 .454 .455 .456 .458

4.4.1.2941_;4':290 .300 .310

Continue the Pattern:

5. 6.5 6.6 6.7 6.8

6. .38 .39 .40

7. .706 .707 :708

8. 10.897 10.898 10.899

9. .081 .083 .085

.7/0

1-7

Hampton City Schools 'Mathematics Department Lesson Fifteen-3-

65

EXERCISE SEP 3:

III. Equal Decimals

Circle the nurber that is not equalto the other nurbers. Write nurberon answer sheet.

1. .700

.7

.070

2. .3

3. .90

.009

.900

4. .600

.060

.60

5. .002

.020

.02

6. .070

.7

.700

7. .40

.040

.4

8. .05

.50

.500

9. .08

.080

.008

DEMISE 4:

IV. Comparing Decimals

Compare the decimals.Use y, <or =.

10. 8.25 1. .9 .908.2508.205 2. .68 > .4

11. .72 3. .27 .5

.702

.720 4. .3 .38

12. 9.30 5. .8 .089.3009.030 6. .30 .3

13. 4.70 7. .18 .1804.0074.700 8. .618 .573

14. 6.400 9. .07 .3006.0406.04 10. .400 .004

15. 4.07 11. .35 .3524.0704.007 12. .098 .9

16. 32.015 13. .02 .01232.15032.15 14. .070 .59

17. 48.29 15. .5 .0748.29048.029

18. 29.13029.10329.13


Lesson Fifteen

-4-

66

GRADE 5NAM

LESSON SIXTEEN

TO THE PARENTt In this lessonyour chp.d will measureusing a centimeter and

Inch ruler. You will find

a ruler in this packet.

The measurementsgiven are both in the

Metric System and theCustomary System.

I. Name these measuringtools.

A.

B.

C.

D.

E.

F.

G.

12 inches = 1 foot

3 feet = 1 yard

Measurement DevicesCan you name them?

Customary System

Hampton City Schools Mathematics Department Lesson Sixteen-1-

G7

NAM

Using a Ruler

Placethe*zIro mark at the end of the object to be measured.

Measurethosajencils to the nearest inch.

3.

-4.

1 .2. 3 Li. 5 6

1.2. 3.

4.

Use your ruler to measure these to the nearest1 Inch

5 . 6.

)


68

7.

Lesson Sixteen

Use & tain measure to measure the following to the nearest inch.

1. Your heigli 2. Around your wrist

3. Around your neck 4. Around your ankle

5. Length of your foot 6. Length of a took

7. A ccirb 8. Length of your thumb

IV. WIRT: SYFrEt4

The centimeter (cm) ruler is divided into 10 equal parts called

millimeters (em).

37 mm

Measure the following to the nearest cm.

1..C111

How many mm?. Jai ft."'

2. cm

Hampton City Schools Mathematics Department Lesson Sixteen

-3-69

3.

4.

Cm

S. The width of thispaper.

6. Your height 7. Length of your foot cm

8. Length of your thumb cm

Hampton City Schools Mathematics Department -Lesson Sixteen

-4-

70

GRADE 5NAME

LESSON SEVENTEEN

TO THE PARENT: Inthis lesson your child'will make conversionswithin the metricsystem.

Can you think of aword which beginswith "cent" and

means ---?100

Can you think of aword that beginswith "mill" and

means rolo?

Think of the metric units of length as a staircase.

:dokameter

hectometer Ad,

decimeter rottilatagV

millimeter c

1 millimeter = .001 meter1 centimeter = .01 meter1 decimeter = .1 meter1 dekameter =10 meters.1 hectometer= 100 meters1 kilometer =1,000 meters

Maim down multiRly!

Each step is 10 times the one which preceeds it. Acentimeter (cm) is 10 times a millimeter (mm). The kilometer (km)is on the third step from the meter and is 1000 times a meter (m).

EXAMPLES: (count the steps)

7km = 1000 X 7m = 7,000m12cm = 10 X 12mm = 120mm8m = 100 X 8cm = 800mm

EXERCISE SET 1

1. lm = cm

3. 5m = .51(/004'..5-60cm

5. lcm = mm

7. 5.5cm= mm

2. lkm =

4. 11km = m

6. lm = mm

8, 7m = mm

Hampton City Schools Mathematics Department Lesson Seventeen-1-

71

NAME

Moving up divide!

For one step-up you divide by 10, 2 steps divide by 100,3 steps divide by 1000.

EXAMPLES:

2000mm = ? m(thrii-Ffirog-up)

2000 i 1000 = 2m

40cm h40 mm = cm = ru-- = 4CM

8000m = ? km

EXERCISE SET 2

8000m= mu- = 8km

1. 70mm = cm 2. 500cm = m

3. 9000m = km 4. 4000mm = "f7g ' 1 m

5. 300cm = m 6. 75,000m = km

7. 4000cm = m 8. 2500mm = cm

Hampton City Schools Mathematics Department Lesson Seventeen-2-

72

III. CONVERTING TO SMALLER OR LARGER UNITS OF LENGTH

a. 3.79 km =

Think, km is a larger unitthan m so you must multiply.

Count the steps down from kmto m. There are 3 somultiply by 1,000-

3.79 km X 1.000 7.3 790 in

b. 8.7 mm CM

Think mm is smaller than cmso you divide.

There is one step so divideby 10

8.7 mrrt 10 = .87

HINT: To convert to a smaller unit, multiply by 10, 100 or 1,000.To convert to a larger unit, divide by 10, 100 or 1,000.

c. 10,101 m = km

m is smaller than km so youdivide.

There are 3 steps so divideby 1,000

10,101 m 1,000 = 10.101 km

d. 0.29 km = cm

km is larger - multiplyThere are 5 steps0.29 km X 100,000 = 29,000 cm

Ccvplete..

1. .01 m = 4744 " 70/ an 2. 4,000 an =

3. 0.68 an = nm 4. 3,000 nim =

5. 0.27 m= dm *). 909.8 cm =

7. 60.4m= an 8. 5,389m= km

9. 422 m = kin 10.22.5 m= km

11. 0.53 km = m 12.0.017m= inn

13. 14 cbi = cm 14. 89 cm= m

15. 4,300 an = dm 16. 213 nm = an

17.0.65m= mn 18. 0.03 cm = mn

19.7.1cm= nm 20. 32.6 km = m

21. 9.2 km = m 22. 0.341an= an ..-

23. 8,475 mm = an 24.6.5 m= cm

IIC:Ola 7 Litt


-3-

73

Lesson 17

IV. aioosun THE BEST UNIT OF LENGTH

Write meter(s), centimeter(s), millimeter(s), or kilcaeter(s) ineach blank so-that the sentence makes sense.

1. Jane said,' "Last year on vacation we travels:N:111°re than2500 in our car."

2. The Hbgen's swimming pool is 2.5 deep

3. My new pencil is 18 long.

4. The hot dogs I buy are 22 long.

5. This crisp cracker is 3 thick

6. Joan, my friend in the sixth grade, is 152.4tall

7. John's old car has been driven mare than 100;900

8. This driveoay is 20.8 long and7.9 wide.

9. My father's arm is almost one long.

10. This page is 21.5 wide.

11. The bee is long.

12. The marathon race course is 31.5 long.

13. The jump rope used at recess tire was 235long.

14. Many ants are about sevenin length.

15. Matilda smn almost 250 across the park-ing lot.


Lesson Seventeen

-4-

74

GRADE 5NAME

LESSON EIGHTEEN

TO THE PARENTS In this lesson yJur childwill find perimeters.Remind your child that

Find the perimeters.

pe rim eter is the

distance around afigure.

The perimeter = 323 cm

1.

12 cm

22 cm

1375cm

2.

52 m

46 m

26 m

P =

34cm

p

83 cm

79c/ 84 cm

97 cm

To find the perimeteradd the lengths ofthe sides.

63 cm84 cm97 cm

-±7229B3 cm

3.

18 cm 18 cm

18 cm 18 cm

18 cm

P = P =

5.18 m

28cm

P =

40 m

=

8 km

Hampton City Schools Mathematics7hipartment Lesson Eighteen-1-

NAME

Measure these with your centimeter ruler to the nearest mm andthen find the perimeter.

P =

10.

P =

8. 9

P = P =

11. 1.2.

P = P =


-2- 7614, r.

Lesson Eighteen

II.Finding the Perimeter of a Rectangle

The perimeter of a rectangle is the sum ofthe lengths of its sides.

5

14

5 + 14 + 5 + 14 = 38

The perimeter of the above rectangle is38 units.

Find the following perimeters.

1.

2.

4

5

8

11

name

4.

5.

4

7

6.

7.

6

III 11111 a

9

I . i

. .-.

1..1.....1....11...i.1.1....1....

Hampton City Schools Mathematics Department-3- 77

9

Lesson Eighteen

.

---.-,..

GRADIS .5NAM

LESSON NINETEEN

TO THE PARENT: In this lessonyour child will find areas ofsquares and rectangles.

Emphasize that area IG whatis contained inside a figure.

Area is measured in squareunits.

Count the squares in thesefigures. Each square isa square centimeter.

2. 3.

11IMM,

...Ammar

A = cm2 A = cm2

Find the Area of a Square

EXAMPLE 11 '

Find the area of'this square. Countthe squares. Notics we could findthe area a quicker way.

6 X 6 = 36 sq. units

36 square units


78

,a11111MOW

A =

Lesson Nineteen

NAME

&AMPLE 2:

Find the area .of this square.

4cm X 4cm = 16 cm2

II. EXAMPLE 3:

Find the area of a square witheach side 7 inches.

7 in. X 7 in. = 49 sq. in.

EXERCISES

1.

A =

2.

4cm

2.5cin

4cm

3. Measure a side ofthe squark, abovewith a cm ruler andthen find the area.

A = A =

Hampton City Schools Mathematics Department Lesson Nineteen-2-

MiApyFINDING AREA

You can find the area of a rectangleby multiplyin the l*n th the width.

11111111111111111111111

111111111111111111111111111

12 X 3 = 36

The area of the rectangle above is36 square units.

.1.

2.

3.

1111111111111111111111111111111111111

11111111111111111111111111111111111111111111

square units

1111111111111111111111111111111111111111111111111111111111111

11111111111111111111111111111.1111111111111111111111111111111111

Mill1M1111111111111111111111

square units

square units.

6.

7.

4.

5.

3

5

4

square units

7

square units

square units

I

square units


60

Use your ruler to find the area of

these polygons in square centimeters.

1.

NAME

square centimeters square centimeters

3.

3 cm .

2 cm

square centimeters

6 cm

4. square centimeters

Cut -..he region on the TOPinto three (3) pieces to

46....... make it fit the region onthe 3OTTOM.


81

GRADE 5NAME

LESSON TWENTY

Tb THE /ARENT: In this lesson

your child will determine theappropriate unit :111 which to

measure length. Your childmight need to review the units

in Lesson 16.

I. These are only diagrams of"real" objects. Circle thebest unit of measure to usefor the "real" object.

7.

10 cm 10 m 10 lc*

200 mm 200 cm 200 m

1 mm 1 cm

6.

011ll___ >99 mm 99 cm 99 m

1 mm 1 cm lm100 mm 100 cm 100 m

1 cm lm 1 km

Hampton City Schools Mathematics Department Lesson Twenty-1_

82

Metric Units of Length: ,Circle the mostname

reasonable length for the items pictured below.

1.

75 min

4.

7.

10.

13.

75 m

4.

5 cm 5m 5 km

16 mm 16 cm 16 m

A COS

*41

76 mm 76 cm 76 m

5.

8.

11.

jPg . #

; 11R-1 IP ":110=iiiiiMMUMMinlimmwwwwwwWWOMP=MONNIIIMIMM114!1111111011.111010101:,

22 cm 22 m 22 km

30 mm 30 cm 30 m

167 mm 167 co 167 m

165 mm 165 cm 165 m

6.

9.

12.

)

463 mm 463 cm 463 m

7 mm 7 cm 7m

95 mm 95' cm 95 m

1 min 1 cm 1m

500 cm 500 m 500 km


83

Lesson Twenty

III. CHOOSING THE BEST UNIT OF LENGTH

Write meter(s), centimeter(s), millimeter(s) or kilometer(s) in

each blank sorthat the sentence makes sense. Also write the answers

on the answer sheet.

1. Fred's old car hae been driven more than 100,000

2. Sue said, "Last year on vacation we traveled more than 2,500

in our car.

3. Tom, my friend in the sixth grade, is 158 tall.

4. The tumbling mat used in physical education is 200 long.

5. The cookie is 4 thick.

6. The mosquito is four long.

7. My mother's shoe is about 20 long.

8. The diving pool at the "Y" is 3 deep.

9. Our house is 20 long.

10; My new ballpoint pen is 18 long.

11. The Boston Marathon is run on a course 31.5 long.

12. My fingernail is about 10 wide.

13. The hot dogs my mother cooks'are about 15 long.

14. Joe ran almost 230 across the playground to

the bus.

15. This page is about 22 wide.

Hampton City Schools Mathematics Department Lesson Twenty

-3-

34

4.

GRADE 5

LESSON TWENTY -ONE

TO THE PARENTs In this les-0714 fga 1.5

son your child will learn abori The wane as 250 millili+ers.

about metric units ofweight (mass) and capacityand will' read a ther-mometer.

CAPACITY

How big is a liter? Let's

make a box which will showyou.

1. You will need a piece ofpaper which is 3 decimeters(30 centimeters) in lengthand width. Measure offusing your metric ruler 3squares with sides 10cmeach across the bottomand .3 squares with sides10cm each as shown in thediagram. Cut as shown.

2. Before folding paste it oncardboard to make it strongerand cover with self adhesivepaper or plastic to make it

stronger.

3. Fold as shown arc' tape edgessecurely.

The gmmcg) use to measure *ha trios of things -the

ore not wry `heayy.'

4. You now have a 10cm X 10cm X 10cmbox which holds 1 liter.

If you cannot waterproof the boxuse a 1 pound coffee_can as amodel. It holds 1 liter.

Try this experiment.Fill a quart container with

sand, rice or beans. Then emptyit into the liter box. Whichholds mere, a liter or a quart?

3.

1.

4.

Hampton City Schools Mathematics Department_i135

Lesson Twenty-One

1. Cut out;

2. Fold on dotted lines to make a cubewithout a top. Cover with clearadhesive tape before taping to makethe box waterproof.

This little box is lcm X lcm X lcm. It holds 1 milliliterof liquid. 1 milliliter of water weighs I gram.

WEIGHT (MASS)

scales arta BalancesTo find how haovy -things o.ra you can pui them on

soaks-.

\ICompression Scales --

Spring Scales

Cr on baktrweisvssng meiric 'weigh%cr mass pieces.

The following items(g) :

I shelled peanut

1 potato chip

I M & M

weigh about 1 gram

1 dollar bill

1 package ofsugar sub-stitute

I. Look on the kitchen shelf to find some canned and boxed fo_ds.List at least five here with their weight.

1.

3.

5.

2.

4..

6.

The Kilogram (1000 grams) is used to measure heavier things.Meats How many Kilograms QC meat in all?

Peoples A football player weighs about 100 kg.

Hampton City Schools Mathematics Department_a_36 Lesson Twenty-One

III Weight: Gram and KilogramCircle the better measure ofweight for each object.

name

CEREAL

255 g 255 kg 566 g 566 kg

!IVA/a.4/..."r/..parAvav 1",.4 .,4z*

I. _at.a-

:maEi

An.--Aw.

1 kg

18 kg

3.

6.

9.

12.

40 g 40 kg

750 g 750 kg

5g 5 kg

9g 9 kg

Hamptan Citj Schools Mathematics Department Lesson T':enty -One

NAME

TEMPERATURE

\DRAW THE TYPE OF WEATHER YOU'RE HANiINGICDAY .

tk

Reading Thermometers

Scales can be set up differentlyon thermometers. This one has a markfor each degree.

What temperature is shown?

4.°C

Hampton City Schools Mathematics Department Lesson Twenty; -One-4-

88

NAME

Read each thermometer and thencomplete, each sentence.

i. When the temperatureis , youneed to wear a coatscarf and mittens.

Celsius

115 ,'110

105-i100

95 4.

85480

75=70

6560

5550

45

4035 "".

3025

2015 '

- - -105

-15

Cel6ius Fahrenheit

2. When the temperatureis , itis ice skatingweather.

t@T;1171;

115110

105100

9590

8580

7570

65x.60

55t- 50

4 5 -40

3577-- 30

25 -20

15

10

-10

212 Water boils

2C0

180

160

140

120

98.6 B°dYtemperature

80

402 Water

freezes

20-10

-20

Note: The thermometerabove is graduatedevery 2 .

Hampton City Schools Mathematics Depattment Lesson Twenty-One

89

8.

9.

10.

11.

3. The highest outdoortemperature measuredon earth is .

a1151

-110105

95

8580

7570

6560

5045

4035

3025

2015

-15

100

10

-.10

Choose the best measure.

4.

6.

90mm90 cm90 m

450 g450 kg

5

7

10 ml100 ml1000 ml

25° F25' C

If you have a thermometer, it to measure the following:

temperature indoors

. temperaturo outside in the shade

temperature outside in the sun

temperature in the refrigerator

Hampton City Schools Mathematics Department Lesson Twenty-One-6-

90

I.

GRADE 5 NAME

LESSON TWENTY-TWO

0 1 2 3 4 5 6 7

TO THE PARENT: In thislesson your child will graphpoints on .a coordinateaxis.

On the number line the coor-dinate of P is 2.What is the coordinate ofQ?

PLOTTING USING COORDINATE AXES

Co

64

9

7

43

2

i.A 7

6

0 / 3 4/5.6 7 9'/aut /2.

Points on a coordinate arenamed by 2 coordinates.The first One is from 0to the right, the secondone is from 0 up.

A (2,3) Move 2 toand 3 up.

B (7,4) Move 7 toand 4 up.

C (0,10)

Write the coordinates for each, of the letters.

D. G. J.

E. H. K.

F.


91

INNO

the right,

the right,

Do not move fromgo up to 10.

M.

N.

P.

0,

Lesson Twenty-two

USING COORDINATE

Where is the

Start at °° Go over (5). Go up,

r MAE

is at

E 4

Hampton City Schools Mathematics Department-2..

92

(1)

Lesson Twenty-Two

WHIRLEY BIRD

II. Name the picture.

t.

14

13

12

11.

10

9

8

7

6

5

4

3

2

00 1 2 3 4 5 1 7 8 9 10 11 12 13 1:175 16 illim. _ x

.,

1.11.11=111M.11

Graph the picture. Find each point listed below. The first one hasbeen done for you. Connect the points with straight lines in the orderlisted. Lift pencil when told to. Start a new line with the nextgroup of points.

(2,8) Begin again -egin again.(3,6) (9,10) (14,3)

(16) (11,10) (13,2)

(3,,10) (11,7) (7,2)

(1,10) (14,7) Lift pencil(2,8) (14,5) Begin again

(11,3)(8,10) (12,3)(9,10) (7,3) (11,2)

Lift pencil(9,12) Lift pencil(15,13) Begin again Begin again

(11,10)(1,11 (2,8)(35,13)*

)

(6,3) (12,10)(3,11) (7,3)

(14,8)

(9,12) (7,2) (14,7)

Lift pencil (5,2) EndLift pencil

Hampton City Schools, VA Math Department Lesson Twenty-two

PICTURE GRAPHS

Mark each ordered pair.Connect the points in order.Begin with column one.

2. What hasno hands but can open

(2,6)(6,6)(8,8)

(12,10)(11,10)(10,11)

14

13(8,9) (8,11) 12(20,9) (8,12)

11(18,11) (6,14)

10(17,10) (2,14)9(16,11)

(15,10)(0,12)(0,8) 8

(14,10) (2,6) 7(13,11)

6

5

a door?

I I

1.

Ir

4:3

1

oo

3. Moves on water.

(0,2) (12,7) (8,10) (3,7)(2,0) (10,6) (5,8) (1,6)(13,0) (12,5) (8,6) (",5)(15,2) (12,2) (8,2) (J,2)(12,2) (8,2) (3,2) (0,2)

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6

.

001 2 3 4 5 6 7 8 a lo 11 12 13 14 15)

7 8 9 10 11 12 13 14 15 16 17 18 19 20

4. 'Connect in order given as thepoints are plotted.(5,0); (5,2); (0,2); (2,4);(1,4); (3,6); (2,6); (4,8);(3,3); (6,12); (9,8); (8,8);(10,6); (9,6); (11,4); (10,4); (12,2)

y (7,2); (7A); (5,0)

18

17

16

15

14

13

12

11

10

9

8

7

6

5

4

3

2

0

. .

; 1

1

!

I

D 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11


94

Lesson Twenty-Two

X

NAME

3. Mrs. Saddler has 180 poundsof feed.to divide equallyamaag.16 horses. How muchfeed can she give each horse?

Given:

?

5. The elephant is how muchtaller than the lion?

Given:

w.,.Ctt It 17 CMVV YJ

? :

4. There were 31 swimmingclasses, with 16 childrenin each class. How manychildren took swimming?

Given:

?

6. Joe had 29 old coins. Hebought more coins and nowhas 54 in all. How manycoins did he buy?

Civen:

?

Hampton City Schools Mathematics Department Lesson Twenty-Three-2-

GRADE 5

LESSON TWENTY-THREE

TO THE PARENTS: In this lesson yourchild will solve word problems involvingwhole numbers. Alert your child tothe many real life problems encounteredeach day.

PROBLEM SOLVING

READ

Step 1: Read theproblem. Ask your-self what you are given andwhat you are asked to find.

EXAMPLE: In the Hampton School, there were three fifth gradeswith 29 students in one class, 33 students in another,and 31 in another. How many fifth graders attendedthe fifth grade in Hampton School?

What are you given? 29 students33 students31 students

What are you asked to find? How many fifth grade studentsaltogether.

I. EXERCISE SET 1Tell what you are given and what YOU

1. Joe sold 72 papers on Mon- 2.day, 87 on Tuesday, 77 onWednesday, and 92 onThursday. How many papersdid he sell in four days?

Given: ? i77

arq asked to find.

The three parking los hadspaces for cars as follows:,Lot A, 32 spaces; Lot B, 60spaces; Lot C, 48 spares.How many spaces for cars areavailable on all three lots?

Given: 111.....IMINryul

?:

Hampton City Schools Mathematics Department Lesson .Twenty-Three-1-

NAME

PLAN

Step 2: What operation will you use to solve the problem?

EXAMPLE: Fred had 65 stamps in his collection. He got morestamps for his birthday. Then he had 126 stamps. Howmany stamps did Fred get for his birthday?

You now have 126 stamps total. You had 65. You are asked tofind the difference.

Subtract is the answer.

II. EXERCISE SET 2Tell what operation you could use to solve the problem.

1.

Operation:

aft If yvu put 82

bottles into cartons of 6.

how mw cartonscan

you fill?

-12- efiV d

2. There are 198 campers inarchery classes, with 18campers in each class.How many archery classeswere there?

Operation:

3. How far is it from Park 4. The car is how much longerCity to Dover? than the bicycle?

216 km154 km

DoverPark City Bond

Operation:

6.

5. 56 students went on a fieldtrip. 4 students wereassigned to each car. Howmany cars were needed?

Operation:

411-- 1 19

Operation:

4-631n..-0

Jody guessed that Ellenweighs 75i pounds. Ellen'sactual weight is 80* pounds.Find the difference betweenJody's guess and Ellen's'actual weight?

Operation:

Hampton City Schools Mathematics Department Lesson Twenty-Three

97

NAME

SOLVE

Step 3. Solve the problem.

EXAMPLES:1. One Saturday John sold 78

papers, Donald sold 67papers. and Michael sold

91 papers. How many papersdid the boys sell altogether?

PLAN You must add.

SOLVE 7867

236The boys sold 326 papers altogether.

2. One hot-dog vendor sold 18trays of hot dogs. Therewere 32 hot dogs on eachtray. How many hot dogsdid he sell?

READ0774h: 7

678

91

Question:

READ

paperspaperspapers

How many papers didthe boys sellaltogether?

18 trays sold32 hot dogs in each

tray.

Question: How many hot dogsdid he sell?

PLAN You multiply the number of hot dogs in each tray by the

number of trays.

SOLVE 13 X 32 = 576 hot dogs

So, 576 hot dogs were sold.

III. EXERCISE SET 3Solve these problems. Show your work.

1.

FOR STUDENT COUNCILPRESIDENT

Iii! MI MI 1111 hi till 111 "43

JOANNE 1 t4U MIN NA 110114 fling 49

Find the total votes cast forStudent Council President.


98

Lesson Twenty-three

NAME

°Sandy 9 ft

--Ian 7 ft

.Naomi 5 ft

3. Alice sold 47 boxes of hockeybuttons. There were 50 buttonsin each box. How many buttonsdid she sell?

4.

How many feet higher did Sandyget than Naomi?

The city of San Antonio was foundedin 1718. Houston became a city119 years later. In what year didHouston become a city?


99

4

NAME

5. The camp cook expected 285peoplwfor lunch. He cooked3 ears of corn for eachperscn. How many ears ofcorn did he cook?

6. Dan bought 19 packages ofbaseball cards. There were5 cards in each package.How many cards did he buy?

7. If the trail is marked into25-foot sections, how manysections will there be?

camp

feet

8. Mary had 496 stamps. Shebought 117 stamps. Howmany stamps did she havethen?

CHECK

Step 4: Check to see if your answer is reasonable.

EXAMPLE:

How much does the dog weigh?

Given: dog + girl ---a 112 lbs.girl t 79 lbs.

Find the dog's weight.

Subtract: 112- 79---35 lbs Is your answer

reasonable?YES. The dog weighs less thanthe girl plus the dog.


100

NAME

IV. EXERCISE SET 4Solve these. Ask yourself if the

1. Tim bought 16 packages of foot-ball cards. There were 6 cardsin each package. How manycards did he buy?

answer is reasonable.

2. One day, 112 people sepa-rated into 8 equal groupsto go hiking. How manypeople were in each group?

Use the map to find the shortest distance between:

3. Cherokee & Pawnee

5.

0

How much 'caller is thebasketball player?

4. Cherokee & Comanche

6.

By how much did the winningspeed increase?

Hampton City Schools Mathematics Department Lesson Twenty-Three

101

GRADE 5 NA

LESSON TWENTY-FOUR

TO THE PARENT: In this lessonyour child will solve applica-tion problems. Many willinvolve addition and subtractionof decimals.

I. Writa each price with a dollarsign and a decimal point.

pa

14. two dollars and sixty-four cents

10. eight dollars andsixty-seven cents

11. ninety-three cents

12. four dollars andnine cents

13. one dollar and fourcents

15. one dollar and tencents

To solve problems with decimals

. Use the four step method.

. Line up the decimal points in addition and subtraction..

Hampton City Schools Mathematics Department Lesson Twenty-Four-1-

10213111.

EXAMPLE 11.

EXAMPLE 2:

NAME

Betty bought a ticket for $1.25. Shegave the cashier a $5 bill. What washer change?

READ $1.25 cost of ticket$5 given the cashier

How much change?

PLAN You are asked about change from$5 so you subtract.

SOLVE $5.00

=734;

CHECK $5 - $1 is $4So, $3.75 is reasonable

TWO STEP PROBLEMS

SOLVE $22.50+ 5.62

CHECK Purchases

For picnics, Mrs. Booth bought a portablecooler for $22.50 and a large jug for$5.62. She gave the cashier $30.00.How much change did she get back?

READ: $22.50 cost of cooler5.62 cost of jug

$30.00 given the cashier

PLAN You are asked to find change from2 purchases.add then subtract

$30.00- 28.12irr7FT-

are about $22 and $6

So, $1.88 is reasonable.

$22 +$ 6 =$28

$ 30 -$ 28 =$2


103

II. EXERCISESSolve these,problems.

1. How much pot roastKristie buy if sheboth roasts?

NAME

Show your work.

did 2.bought

3. Dana saves $0.25 each week.How much will Dana savein 8 weeks?

Camera A costs $17.95.Camera B costs $31.95.How much cheaper isCamera A?

4. The Markhams bought 5hot-turkey sandwiches at$1.85 each. What wasthe total cost?

Hampton City Schools Mathematics Department Lesson Twenty-Four

1O4

The picture above gives airline distances inmiles betweencertain cities. Use the picture to answer the questions below.

5. What is the distance between 6. How much shorter is theNew York and Capetown by way trip from New York to

o. of Natal? b,By way of Dakar? Lisbon than the trip fromNew York to Natal?


105

NAM

This map shows the area of eachstate. Use the picture toanswer these questions.

7. What is the land area of eachof these states?

d. Arizona

b. Utah

c.California

d Washington

8. Which state has the largestland area?

9. Whac is the total land area ofCalifornia, Nevada, Utah, andArizona?

Hampton City Schools Mathematics Department Lesson Twenty-Four

1 0 6

III. Find the sale price.

1.i OFF

Reg. $8.48

Sale price

3. Clip the coupon wurth 390.

MILK SHAKE

was 990

now

NAME

2.

SAVE 990

WAS $8.59

NOW

4.

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Lesson Twenty-Four

GRADE 5 NAME

LESSON TWENTY-FIVE

TO THE PARENT: In this lesson yourchild will answer and create prob-

lems based on information selectedfrom charts, tables, maps, and

graphs.

I. BAR GRAPHS

Mandarin

English

Ruaelan

Hindi

Spanish

German

il M

4 MIEN M II

-. -i ma161116IN 11=1=

, . siniummtniniiiM1II1111111151

MU IIIa . . t .

41 1 .14li i- i i

' ' 4

1 4 1

EH MIMI 11111111111 III

0 100 200 300 400 500

Languages Spoken In the World

Answer the questions about the graph above.

1. Which language is spoken by more people than any other?

Mandarin (Chinese)

2. How many languages are spoken by more than 200 million people?

3. Make up your own question.

Hampton City Schools Mathematics Department Lesson Twenty-Five

109

II.

NAME

I I cop:r or ayes 1 r i 1 !

I I I I I :+

Blu

Green ...

I I1

I I ! i

.mwn

I I I

.

IT,! I I 1 i_

HII

! I ' . I

I 111MIE _ P .

Answer the questions about the graph.

1. How many people have hazel eyes?

2. How many more people have brown eyes thanblue?

Make up two questions about the graph.

3.

4.

Hampton City Schools Mathematics Department Lesson Twenty-Five-2-

I_ I 0

I//. LINE GRAPHS

Number ofSlurpees 475

450423

400

375

350

325300275

250

NAME

SLURPEE SALES

7.113.c

3

Answer the questions about the graph.

1. On what day were the least .Slurpees sold?

2. How many more Slur-pees were sold on Sunday than on

Wednesday?

3.

4.

Write two questions about the graph.


111

HAMS

IV. MAPS

This map shows the number of people who lived in each

of these states in 1890.

NORTH DAKOTA190,983

MINNESOTA1,310,28

SOUTH DAKOTA348,600

LNEBRASKA1,062,656

IOWA1,912,297

KANSAS MISSOURI1,428,108 2,679,185

1. Which state had the most people?

2. Which state had more people, Kansas or Iowa?

Write two questions about the map.

3. 1111111011l

emw.ms=


112

V.Marlow . Old Mill

154 km

125 km

Write two Auestions. about this map.

NAME

Benton

fi_,ENSOMENIMMINW

VI. TABLES AND CHARTS

Asia 2,200,000,0001

Europe 750,000,000

Africa 330,000,000

Latin America 300,000,000

North America 240,000,000

Oceania 21,000,000

Estimated Population

Answer the questions about the chart.

1. Where do the most people live?

2. Do more people live there than the other regions together?

3. Make up your own question about the chart.

Hampton. City Schools Mathematics Department Lesson Twenty-Five

-5- 113

4.

The earth:

VII. Planetary symbol 0,

1 inch represents8000 miles

NAME

PLANET

Mercury,

SYMBOL NUMBER OF TIMES THEEARTH'S DIAMETER

.38

Venus 9 .95

.53

Jupiter 11.19

Saturn 9.5

Uranus 3.7

Neptune, tr 3.9

Pluto .5

Earth 1.00

. Name the planets from largestto smallest.

a.

b.

C.

d.

e.

h.

f.

2. Which planet is about the samesize as the earth?

3. 'Name two planets that have diameters about the size ofearth's.

4. Name the two planets which have diame:ers nearly 4 timesas large as the earth's diameter.

a,

CONGRATULATIONSImiYou have now completed

MATH 3Y MAIL


114

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