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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)
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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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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
Round to the nearest 100
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
Round to the nearest 1000
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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Hampton City Schools Mathematics Department-4-
26
9.
43 PTO
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
MK/ -Me vadieof* <laidlama ncle eS
/0. 112 ilejirm /I.
34 ike-Tr
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/6. 6/.1-fir-4 l7. /° rfrr.
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?
Hampton City Schools Mathematics Department-3-
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.
Hampton City Schools Mathematics Department Lesson Eight-2-
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
Hampton City Schools Mathematics Department Lesson Eight-3-
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
Hampton City Schools Mathematics Department Lesson Eight-4-
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
Hampton City Schools Mathematics Department-1-
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-
Hampton City Schools Mathematics Department-2-
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..
Hampton City Schools Mathematics Department-1-
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
Hampton City Schools Mathematics Department-4-
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?
Hampton City Schools Mathematics Department Lesson Eleven-2-
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 .
Hampton City Schools Mathematics Department-3-
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
Hampton City Schools Mathematics Department Lesson Eleven-5-
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
Hampton City Schools Mathematics Department-1-
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 =
Hampton City Schools Mathematics Department
-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
Hampton City Schools Mathematics Department-3-
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
Hampton City Schools Mathematics Department-1-
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
Hampton City Schools Mathematics Department
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.
)
Hampton City Schools Mathematics Department
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
Hampton City Schools Mathematics Department
-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.
Hampton City Schools Mathematics Department
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 =
Hampton City Schools Mathematics Department
-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
Hampton City Schools Mathematics Department-1-
78
,a11111MOW
A =
Lesson Nineteen
NAME
&LE 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
Hampton City Schools Mathematics Department Lesson Nineteen-3-
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.
Hampton City Schools Mathematics Department Lesson Nineteen-4-
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
Hampton City Schools Mathematics Department-2-
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.
Hampton City Schools Mathematics Department-1-
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
Hampton City Schools Mathematics Department-4-
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.
Hampton City Schools Mathematics Department-4-
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?
Hampton City Schools Mathematics Department Lesson Twenty-Three-5-
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.
Hampton City Schools Mathematics Department Lesson Twenty-Three-6-
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
Hampton City Schools Mathematics Department Lesson Twenty-Four-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?
Hampton City Schools Mathematics Department Lesson Twenty-Four-4-
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.
SAVE $2.99
Reg. $8.29
Sale price
Hampton City Schools Mathematics Department Lesson Twenty-Four-6-
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Check"these ads.
2. oFF4
NAi4A
Write "YES" if the ad is correct; write "NO" if
incorrect.
7* SAVE 785L
W 2 t 17°°
Wfis 3 exich
.ely co,Apri 4-vit
I HAMPTON RESTA UR AN 77.11SPecial
CRAB CAKE; Rec %114'
.DiAwER NOW JrelOMP =mos
6. SAVE 04/06"
R 5 4172islov) IN Y-±
10.
Hampton City Schools Mathematics Department
108
SAVE fi294°
WAS %-pr
IVO w$5
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.
Hampton City Schools Mathematics Department Lesson Twenty-Five-3-
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=
Hampton City Schools Mathematics Department Lesson Twenty-Five-4-
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
Hampton City Schools Mathematics Department Lesson Twenty-Five-6-
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